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131,112

131,112 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 Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number Zuckerman Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
6
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
211,131
Square (n²)
17,190,356,544
Cube (n³)
2,253,862,027,196,928
Divisor count
32
σ(n) — sum of divisors
364,800
φ(n) — Euler's totient
43,632
Sum of prime factors
622

Primality

Prime factorization: 2 3 × 3 3 × 607

Nearest primes: 131,111 (−1) · 131,113 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 27 · 36 · 54 · 72 · 108 · 216 · 607 · 1214 · 1821 · 2428 · 3642 · 4856 · 5463 · 7284 · 10926 · 14568 · 16389 · 21852 · 32778 · 43704 · 65556 (half) · 131112
Aliquot sum (sum of proper divisors): 233,688
Factor pairs (a × b = 131,112)
1 × 131112
2 × 65556
3 × 43704
4 × 32778
6 × 21852
8 × 16389
9 × 14568
12 × 10926
18 × 7284
24 × 5463
27 × 4856
36 × 3642
54 × 2428
72 × 1821
108 × 1214
216 × 607
First multiples
131,112 · 262,224 (double) · 393,336 · 524,448 · 655,560 · 786,672 · 917,784 · 1,048,896 · 1,180,008 · 1,311,120

Sums & aliquot sequence

As consecutive integers: 43,703 + 43,704 + 43,705 14,564 + 14,565 + … + 14,572 8,187 + 8,188 + … + 8,202 4,843 + 4,844 + … + 4,869
Aliquot sequence: 131,112 233,688 492,072 976,728 1,465,152 2,716,704 5,009,742 6,235,218 9,010,782 13,548,690 22,438,638 26,178,450 39,144,750 67,783,890 95,169,966 95,169,978 131,267,142 — unresolved within range

Continued fraction of √n

√131,112 = [362; (10, 1, 1, 1, 5, 2, 3, 25, 1, 1, 2, 1, 5, 2, 1, 2, 3, 7, 1, 13, 1, 8, 1, 79, …)]

Representations

In words
one hundred thirty-one thousand one hundred twelve
Ordinal
131112th
Binary
100000000000101000
Octal
400050
Hexadecimal
0x20028
Base64
AgAo
One's complement
4,294,836,183 (32-bit)
Scientific notation
1.31112 × 10⁵
As a duration
131,112 s = 1 day, 12 hours, 25 minutes, 12 seconds
In other bases
ternary (3) 20122212000
quaternary (4) 200000220
quinary (5) 13143422
senary (6) 2451000
septenary (7) 1054152
nonary (9) 218760
undecimal (11) 8a563
duodecimal (12) 63a60
tridecimal (13) 478a7
tetradecimal (14) 35ad2
pentadecimal (15) 28cac

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλαριβʹ
Mayan (base 20)
𝋰·𝋧·𝋯·𝋬
Chinese
一十三萬一千一百一十二
Chinese (financial)
壹拾參萬壹仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ١٣١١١٢ Devanagari १३१११२ Bengali ১৩১১১২ Tamil ௧௩௧௧௧௨ Thai ๑๓๑๑๑๒ Tibetan ༡༣༡༡༡༢ Khmer ១៣១១១២ Lao ໑໓໑໑໑໒ Burmese ၁၃၁၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131112, here are decompositions:

  • 11 + 131101 = 131112
  • 41 + 131071 = 131112
  • 53 + 131059 = 131112
  • 71 + 131041 = 131112
  • 89 + 131023 = 131112
  • 101 + 131011 = 131112
  • 103 + 131009 = 131112
  • 131 + 130981 = 131112

Showing the first eight; more decompositions exist.

Unicode codepoint
𠀨
CJK Unified Ideograph-20028
U+20028
Other letter (Lo)

UTF-8 encoding: F0 A0 80 A8 (4 bytes).

Hex color
#020028
RGB(2, 0, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.40.

Address
0.2.0.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.40

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 131,112 and was likely granted around 1872.

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

Position in π

The digit sequence 131112 first appears in π at position 387,701 of the decimal expansion (the 387,701ordinal-suffix:st 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.