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1,011,010

1,011,010 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.).

1,011,010 (one million eleven thousand ten) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2 × 5 × 7 × 11 × 13 × 101. Its proper divisors sum to 1,456,574, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6D42.

Abundant Number Arithmetic Number Cube-Free Flippable Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
4
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
101,101
Flips to (rotate 180°)
101,101
Recamán's sequence
a(360,115) = 1,011,010
Square (n²)
1,022,141,220,100
Cube (n³)
1,033,394,994,933,301,000
Divisor count
64
σ(n) — sum of divisors
2,467,584
φ(n) — Euler's totient
288,000
Sum of prime factors
139

Primality

Prime factorization: 2 × 5 × 7 × 11 × 13 × 101

Nearest primes: 1,011,001 (−9) · 1,011,013 (+3)

Divisors & multiples

All divisors (64)
1 · 2 · 5 · 7 · 10 · 11 · 13 · 14 · 22 · 26 · 35 · 55 · 65 · 70 · 77 · 91 · 101 · 110 · 130 · 143 · 154 · 182 · 202 · 286 · 385 · 455 · 505 · 707 · 715 · 770 · 910 · 1001 · 1010 · 1111 · 1313 · 1414 · 1430 · 2002 · 2222 · 2626 · 3535 · 5005 · 5555 · 6565 · 7070 · 7777 · 9191 · 10010 · 11110 · 13130 · 14443 · 15554 · 18382 · 28886 · 38885 · 45955 · 72215 · 77770 · 91910 · 101101 · 144430 · 202202 · 505505 (half) · 1011010
Aliquot sum (sum of proper divisors): 1,456,574
Factor pairs (a × b = 1,011,010)
1 × 1011010
2 × 505505
5 × 202202
7 × 144430
10 × 101101
11 × 91910
13 × 77770
14 × 72215
22 × 45955
26 × 38885
35 × 28886
55 × 18382
65 × 15554
70 × 14443
77 × 13130
91 × 11110
101 × 10010
110 × 9191
130 × 7777
143 × 7070
154 × 6565
182 × 5555
202 × 5005
286 × 3535
385 × 2626
455 × 2222
505 × 2002
707 × 1430
715 × 1414
770 × 1313
910 × 1111
1001 × 1010
First multiples
1,011,010 · 2,022,020 (double) · 3,033,030 · 4,044,040 · 5,055,050 · 6,066,060 · 7,077,070 · 8,088,080 · 9,099,090 · 10,110,100

Sums & aliquot sequence

As consecutive integers: 252,751 + 252,752 + 252,753 + 252,754 202,200 + 202,201 + 202,202 + 202,203 + 202,204 144,427 + 144,428 + … + 144,433 91,905 + 91,906 + … + 91,915
Aliquot sequence: 1,011,010 1,456,574 1,128,946 955,598 725,002 419,798 246,994 164,846 111,634 55,820 61,444 46,090 44,630 35,722 19,034 10,534 6,026 — unresolved within range

Continued fraction of √n

√1,011,010 = [1005; (2, 24, 3, 17, 3, 4, 1, 2, 2, 15, 1, 1, 6, 1, 1, 15, 2, 2, 1, 4, 3, 17, 3, 24, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one million eleven thousand ten
Ordinal
1011010th
Binary
11110110110101000010
Octal
3666502
Hexadecimal
0xF6D42
Base64
D21C
One's complement
4,293,956,285 (32-bit)
Scientific notation
1.01101 × 10⁶
As a duration
1,011,010 s = 11 days, 16 hours, 50 minutes, 10 seconds
In other bases
ternary (3) 1220100211211
quaternary (4) 3312311002
quinary (5) 224323020
senary (6) 33400334
septenary (7) 11410360
nonary (9) 1810754
undecimal (11) 630650
duodecimal (12) 4090aa
tridecimal (13) 295240
tetradecimal (14) 1c4630
pentadecimal (15) 14e85a

As an angle

1,011,010° = 2,808 × 360° + 130°
130° ≈ 2.269 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋 𒌋
Egyptian hieroglyphic
𓁨𓂍𓆼𓎆
Chinese
一百零一萬一千零一十
Chinese (financial)
壹佰零壹萬壹仟零壹拾
In other modern scripts
Eastern Arabic ١٠١١٠١٠ Devanagari १०११०१० Bengali ১০১১০১০ Tamil ௧௦௧௧௦௧௦ Thai ๑๐๑๑๐๑๐ Tibetan ༡༠༡༡༠༡༠ Khmer ១០១១០១០ Lao ໑໐໑໑໐໑໐ Burmese ၁၀၁၁၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1011010, here are decompositions:

  • 17 + 1010993 = 1011010
  • 29 + 1010981 = 1011010
  • 53 + 1010957 = 1011010
  • 107 + 1010903 = 1011010
  • 113 + 1010897 = 1011010
  • 149 + 1010861 = 1011010
  • 167 + 1010843 = 1011010
  • 227 + 1010783 = 1011010

Showing the first eight; more decompositions exist.

Hex color
#0F6D42
RGB(15, 109, 66)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.109.66.

Address
0.15.109.66
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.109.66

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 1010 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 1010-10-01 (MMDYYYY (US, single-digit day))
  • 1010-01-10 (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 1,011,010 and was likely granted around 1911.

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°.