Live analysis

113,112

113,112 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.).

113,112 (one hundred thirteen thousand one hundred twelve) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 1,571. Its proper divisors sum to 193,428, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B9D8.

Abundant Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence Refactorable Number Semiperfect Number Zuckerman Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 6
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 211,311
Recamán's sequence: a(246,352) = 113,112
Square (n²): 12,794,324,544
Cube (n³): 1,447,191,637,820,928
Divisor count: 24
σ(n) — sum of divisors: 306,540
φ(n) — Euler's totient: 37,680
Sum of prime factors: 1,583

Primality

Prime factorization: 2 ³ × 3 ² × 1571

Nearest primes: 113,111 (−1) · 113,117 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 1571 · 3142 · 4713 · 6284 · 9426 · 12568 · 14139 · 18852 · 28278 · 37704 · 56556 (half) · 113112

Aliquot sum (sum of proper divisors): 193,428

Factor pairs (a × b = 113,112)

1 × 113112

2 × 56556

3 × 37704

4 × 28278

6 × 18852

8 × 14139

9 × 12568

12 × 9426

18 × 6284

24 × 4713

36 × 3142

72 × 1571

First multiples

113,112 · 226,224 (double) · 339,336 · 452,448 · 565,560 · 678,672 · 791,784 · 904,896 · 1,018,008 · 1,131,120

Sums & aliquot sequence

As consecutive integers: 37,703 + 37,704 + 37,705 12,564 + 12,565 + … + 12,572 7,062 + 7,063 + … + 7,077 2,333 + 2,334 + … + 2,380

Aliquot sequence: 113,112 → 193,428 → 316,172 → 237,136 → 222,346 → 114,614 → 67,474 → 42,974 → 21,490 → 22,862 → 18,610 → 14,906 → 8,314 → 4,160 → 6,508 → 4,888 → 5,192 — unresolved within range

Continued fraction of √n

√113,112 = [336; (3, 8, 1, 7, 2, 2, 3, 8, 1, 1, 3, 1, 8, 1, 2, 3, 1, 1, 1, 2, 1, 5, 1, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand one hundred twelve
Ordinal: 113112th
Binary: 11011100111011000
Octal: 334730
Hexadecimal: 0x1B9D8
Base64: AbnY
One's complement: 4,294,854,183 (32-bit)
Scientific notation: 1.13112 × 10⁵
As a duration: 113,112 s = 1 day, 7 hours, 25 minutes, 12 seconds

In other bases

ternary (3) 12202011100

quaternary (4) 123213120

quinary (5) 12104422

senary (6) 2231400

septenary (7) 650526

nonary (9) 182140

undecimal (11) 77a8a

duodecimal (12) 55560

tridecimal (13) 3c63c

tetradecimal (14) 2d316

pentadecimal (15) 237ac

As an angle

113,112° = 314 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Greek (Milesian): ͵ριγριβʹ
Mayan (base 20): 𝋮·𝋢·𝋯·𝋬
Chinese: 一十一萬三千一百一十二
Chinese (financial): 壹拾壹萬參仟壹佰壹拾貳

In other modern scripts

Eastern Arabic ١١٣١١٢ Devanagari ११३११२ Bengali ১১৩১১২ Tamil ௧௧௩௧௧௨ Thai ๑๑๓๑๑๒ Tibetan ༡༡༣༡༡༢ Khmer ១១៣១១២ Lao ໑໑໓໑໑໒ Burmese ၁၁၃၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113112, here are decompositions:

19 + 113093 = 113112
23 + 113089 = 113112
29 + 113083 = 113112
31 + 113081 = 113112
61 + 113051 = 113112
71 + 113041 = 113112
73 + 113039 = 113112
89 + 113023 = 113112

Showing the first eight; more decompositions exist.

Hex color

#01B9D8

RGB(1, 185, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.216.

Address: 0.1.185.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.185.216

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

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 113,112 and was likely granted around 1871.

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

Look up US113,112 on Google Patents ↗ Look up on USPTO ↗