number.wiki
Live analysis

13,112

13,112 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.).
Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
8
Digit product
6
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
21,131
Recamán's sequence
a(48,051) = 13,112
Square (n²)
171,924,544
Cube (n³)
2,254,274,620,928
Divisor count
16
σ(n) — sum of divisors
27,000
φ(n) — Euler's totient
5,920
Sum of prime factors
166

Primality

Prime factorization: 2 3 × 11 × 149

Nearest primes: 13,109 (−3) · 13,121 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 11 · 22 · 44 · 88 · 149 · 298 · 596 · 1192 · 1639 · 3278 · 6556 (half) · 13112
Aliquot sum (sum of proper divisors): 13,888
Factor pairs (a × b = 13,112)
1 × 13112
2 × 6556
4 × 3278
8 × 1639
11 × 1192
22 × 596
44 × 298
88 × 149
First multiples
13,112 · 26,224 (double) · 39,336 · 52,448 · 65,560 · 78,672 · 91,784 · 104,896 · 118,008 · 131,120

Sums & aliquot sequence

As consecutive integers: 1,187 + 1,188 + … + 1,197 812 + 813 + … + 827 14 + 15 + … + 162
Aliquot sequence: 13,112 13,888 18,624 31,160 44,440 65,720 89,800 119,450 102,820 119,444 105,760 144,476 121,804 97,380 198,552 297,888 518,592 — unresolved within range

Representations

In words
thirteen thousand one hundred twelve
Ordinal
13112th
Binary
11001100111000
Octal
31470
Hexadecimal
0x3338
Base64
Mzg=
One's complement
52,423 (16-bit)
In other bases
ternary (3) 122222122
quaternary (4) 3030320
quinary (5) 404422
senary (6) 140412
septenary (7) 53141
nonary (9) 18878
undecimal (11) 9940
duodecimal (12) 7708
tridecimal (13) 5c78
tetradecimal (14) 4ac8
pentadecimal (15) 3d42

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ιγριβʹ
Mayan (base 20)
𝋡·𝋬·𝋯·𝋬
Chinese
一萬三千一百一十二
Chinese (financial)
壹萬參仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ١٣١١٢ Devanagari १३११२ Bengali ১৩১১২ Tamil ௧௩௧௧௨ Thai ๑๓๑๑๒ Tibetan ༡༣༡༡༢ Khmer ១៣១១២ Lao ໑໓໑໑໒ Burmese ၁၃၁၁၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,112 = 7
e — Euler's number (e)
Digit 13,112 = 7
φ — Golden ratio (φ)
Digit 13,112 = 2
√2 — Pythagoras's (√2)
Digit 13,112 = 6
ln 2 — Natural log of 2
Digit 13,112 = 4
γ — Euler-Mascheroni (γ)
Digit 13,112 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13112, here are decompositions:

  • 3 + 13109 = 13112
  • 13 + 13099 = 13112
  • 19 + 13093 = 13112
  • 79 + 13033 = 13112
  • 103 + 13009 = 13112
  • 109 + 13003 = 13112
  • 139 + 12973 = 13112
  • 193 + 12919 = 13112

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Penihi
U+3338
Other symbol (So)

UTF-8 encoding: E3 8C B8 (3 bytes).

Hex color
#003338
RGB(0, 51, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.56.

Address
0.0.51.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.56

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

Position in π

The digit sequence 13112 first appears in π at position 237,572 of the decimal expansion (the 237,572ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.