Live analysis

1,012,112

1,012,112 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.).

1,012,112 (one million twelve thousand one hundred twelve) is an even 7-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 17 × 61². Its proper divisors sum to 1,098,802, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7190.

Abundant Number Evil Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,012,100 1,012,101 1,012,102 1,012,103 1,012,104 1,012,105 1,012,106 1,012,107 1,012,108 1,012,109 1,012,110 1,012,111 1,012,112 1,012,113 1,012,114 1,012,115 1,012,116 1,012,117 1,012,118 1,012,119 1,012,120 1,012,121 1,012,122 1,012,123 1,012,124

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 2,112,101
Square (n²): 1,024,370,700,544
Cube (n³): 1,036,777,878,468,988,928
Divisor count: 30
σ(n) — sum of divisors: 2,110,914
φ(n) — Euler's totient: 468,480
Sum of prime factors: 147

Primality

Prime factorization: 2 ⁴ × 17 × 61 ²

Nearest primes: 1,012,103 (−9) · 1,012,133 (+21)

Divisors & multiples

All divisors (30)

1 · 2 · 4 · 8 · 16 · 17 · 34 · 61 · 68 · 122 · 136 · 244 · 272 · 488 · 976 · 1037 · 2074 · 3721 · 4148 · 7442 · 8296 · 14884 · 16592 · 29768 · 59536 · 63257 · 126514 · 253028 · 506056 (half) · 1012112

Aliquot sum (sum of proper divisors): 1,098,802

Factor pairs (a × b = 1,012,112)

1 × 1012112

2 × 506056

4 × 253028

8 × 126514

16 × 63257

17 × 59536

34 × 29768

61 × 16592

68 × 14884

122 × 8296

136 × 7442

244 × 4148

272 × 3721

488 × 2074

976 × 1037

First multiples

1,012,112 · 2,024,224 (double) · 3,036,336 · 4,048,448 · 5,060,560 · 6,072,672 · 7,084,784 · 8,096,896 · 9,109,008 · 10,121,120

Sums & aliquot sequence

As a sum of two squares: 64² + 1,004² = 244² + 976² = 416² + 916²

As consecutive integers: 59,528 + 59,529 + … + 59,544 31,613 + 31,614 + … + 31,644 16,562 + 16,563 + … + 16,622 1,589 + 1,590 + … + 2,132

Aliquot sequence: 1,012,112 → 1,098,802 → 621,134 → 310,570 → 291,710 → 250,882 → 125,444 → 114,124 → 88,260 → 159,036 → 225,684 → 344,886 → 360,138 → 366,198 → 470,922 → 470,934 → 709,506 — unresolved within range

Continued fraction of √n

√1,012,112 = [1006; (26, 2, 9, 5, 2, 7, 2, 1, 2, 11, 1, 1, 7, 7, 1, 2, 1, 1, 1, 14, 19, 2, 6, 1, …)]

Representations

In words: one million twelve thousand one hundred twelve
Ordinal: 1012112th
Binary: 11110111000110010000
Octal: 3670620
Hexadecimal: 0xF7190
Base64: D3GQ
One's complement: 4,293,955,183 (32-bit)
Scientific notation: 1.012112 × 10⁶
As a duration: 1,012,112 s = 11 days, 17 hours, 8 minutes, 32 seconds

In other bases

ternary (3) 1220102100122

quaternary (4) 3313012100

quinary (5) 224341422

senary (6) 33405412

septenary (7) 11413523

nonary (9) 1812318

undecimal (11) 631462

duodecimal (12) 409868

tridecimal (13) 2958aa

tetradecimal (14) 1c4bba

pentadecimal (15) 14ed42

As an angle

1,012,112° = 2,811 × 360° + 152°

152° ≈ 2.653 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓍢𓎆𓏺𓏺
Chinese: 一百零一萬二千一百一十二
Chinese (financial): 壹佰零壹萬貳仟壹佰壹拾貳

In other modern scripts

Eastern Arabic ١٠١٢١١٢ Devanagari १०१२११२ Bengali ১০১২১১২ Tamil ௧௦௧௨௧௧௨ Thai ๑๐๑๒๑๑๒ Tibetan ༡༠༡༢༡༡༢ Khmer ១០១២១១២ Lao ໑໐໑໒໑໑໒ Burmese ၁၀၁၂၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012112, here are decompositions:

19 + 1012093 = 1012112
103 + 1012009 = 1012112
139 + 1011973 = 1012112
151 + 1011961 = 1012112
223 + 1011889 = 1012112
313 + 1011799 = 1012112
349 + 1011763 = 1012112
379 + 1011733 = 1012112

Showing the first eight; more decompositions exist.

Hex color

#0F7190

RGB(15, 113, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.113.144.

Address: 0.15.113.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.113.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 2112 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2112-10-01 (MMDYYYY (US, single-digit day))
2112-01-10 (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 1,012,112 and was likely granted around 1911.

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

Look up US1,012,112 on Google Patents ↗ Look up on USPTO ↗