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1,022,112

1,022,112 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,022,112 (one million twenty-two thousand one hundred twelve) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3³ × 7 × 13². Its proper divisors sum to 2,667,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF98A0.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
2,112,201
Recamán's sequence
a(372,103) = 1,022,112
Square (n²)
1,044,712,940,544
Cube (n³)
1,067,813,633,085,308,928
Divisor count
144
σ(n) — sum of divisors
3,689,280
φ(n) — Euler's totient
269,568
Sum of prime factors
52

Primality

Prime factorization: 2 5 × 3 3 × 7 × 13 2

Nearest primes: 1,022,083 (−29) · 1,022,113 (+1)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 13 · 14 · 16 · 18 · 21 · 24 · 26 · 27 · 28 · 32 · 36 · 39 · 42 · 48 · 52 · 54 · 56 · 63 · 72 · 78 · 84 · 91 · 96 · 104 · 108 · 112 · 117 · 126 · 144 · 156 · 168 · 169 · 182 · 189 · 208 · 216 · 224 · 234 · 252 · 273 · 288 · 312 · 336 · 338 · 351 · 364 · 378 · 416 · 432 · 468 · 504 · 507 · 546 · 624 · 672 · 676 · 702 · 728 · 756 · 819 · 864 · 936 · 1008 · 1014 · 1092 · 1183 · 1248 · 1352 · 1404 · 1456 · 1512 · 1521 · 1638 · 1872 · 2016 · 2028 · 2184 · 2366 · 2457 · 2704 · 2808 · 2912 · 3024 · 3042 · 3276 · 3549 · 3744 · 4056 · 4368 · 4563 · 4732 · 4914 · 5408 · 5616 · 6048 · 6084 · 6552 · 7098 · 8112 · 8736 · 9126 · 9464 · 9828 · 10647 · 11232 · 12168 · 13104 · 14196 · 16224 · 18252 · 18928 · 19656 · 21294 · 24336 · 26208 · 28392 · 31941 · 36504 · 37856 · 39312 · 42588 · 48672 · 56784 · 63882 · 73008 · 78624 · 85176 · 113568 · 127764 · 146016 · 170352 · 255528 · 340704 · 511056 (half) · 1022112
Aliquot sum (sum of proper divisors): 2,667,168
Factor pairs (a × b = 1,022,112)
1 × 1022112
2 × 511056
3 × 340704
4 × 255528
6 × 170352
7 × 146016
8 × 127764
9 × 113568
12 × 85176
13 × 78624
14 × 73008
16 × 63882
18 × 56784
21 × 48672
24 × 42588
26 × 39312
27 × 37856
28 × 36504
32 × 31941
36 × 28392
39 × 26208
42 × 24336
48 × 21294
52 × 19656
54 × 18928
56 × 18252
63 × 16224
72 × 14196
78 × 13104
84 × 12168
91 × 11232
96 × 10647
104 × 9828
108 × 9464
112 × 9126
117 × 8736
126 × 8112
144 × 7098
156 × 6552
168 × 6084
169 × 6048
182 × 5616
189 × 5408
208 × 4914
216 × 4732
224 × 4563
234 × 4368
252 × 4056
273 × 3744
288 × 3549
312 × 3276
336 × 3042
338 × 3024
351 × 2912
364 × 2808
378 × 2704
416 × 2457
432 × 2366
468 × 2184
504 × 2028
507 × 2016
546 × 1872
624 × 1638
672 × 1521
676 × 1512
702 × 1456
728 × 1404
756 × 1352
819 × 1248
864 × 1183
936 × 1092
1008 × 1014
First multiples
1,022,112 · 2,044,224 (double) · 3,066,336 · 4,088,448 · 5,110,560 · 6,132,672 · 7,154,784 · 8,176,896 · 9,199,008 · 10,221,120

Sums & aliquot sequence

As consecutive integers: 340,703 + 340,704 + 340,705 146,013 + 146,014 + … + 146,019 113,564 + 113,565 + … + 113,572 78,618 + 78,619 + … + 78,630
Aliquot sequence: 1,022,112 2,667,168 6,505,632 15,061,914 22,902,480 59,592,240 150,394,320 371,969,940 669,546,060 1,289,425,332 1,956,419,340 3,521,554,980 6,338,799,132 8,451,732,204 12,912,368,736 — keeps growing

Continued fraction of √n

√1,022,112 = [1010; (1, 223, 1, 1, 1, 223, 1, 2020)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one million twenty-two thousand one hundred twelve
Ordinal
1022112th
Binary
11111001100010100000
Octal
3714240
Hexadecimal
0xF98A0
Base64
D5ig
One's complement
4,293,945,183 (32-bit)
Scientific notation
1.022112 × 10⁶
As a duration
1,022,112 s = 11 days, 19 hours, 55 minutes, 12 seconds
In other bases
ternary (3) 1220221002000
quaternary (4) 3321202200
quinary (5) 230201422
senary (6) 33524000
septenary (7) 11454630
nonary (9) 1827060
undecimal (11) 638a23
duodecimal (12) 413600
tridecimal (13) 29a300
tetradecimal (14) 1c86c0
pentadecimal (15) 152cac

As an angle

1,022,112° = 2,839 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓍢𓎆𓏺𓏺
Chinese
一百零二萬二千一百一十二
Chinese (financial)
壹佰零貳萬貳仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ١٠٢٢١١٢ Devanagari १०२२११२ Bengali ১০২২১১২ Tamil ௧௦௨௨௧௧௨ Thai ๑๐๒๒๑๑๒ Tibetan ༡༠༢༢༡༡༢ Khmer ១០២២១១២ Lao ໑໐໒໒໑໑໒ Burmese ၁၀၂၂၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1022112, here are decompositions:

  • 29 + 1022083 = 1022112
  • 41 + 1022071 = 1022112
  • 53 + 1022059 = 1022112
  • 59 + 1022053 = 1022112
  • 79 + 1022033 = 1022112
  • 101 + 1022011 = 1022112
  • 139 + 1021973 = 1022112
  • 149 + 1021963 = 1022112

Showing the first eight; more decompositions exist.

Hex color
#0F98A0
RGB(15, 152, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.152.160.

Address
0.15.152.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.152.160

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 2112 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2112-02-01 (DMMYYYY (Euro, single-digit day))
  • 2112-10-02 (MMDYYYY (US, single-digit day))
  • 2112-02-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,022,112 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.