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131,912

131,912 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.).

131,912 (one hundred thirty-one thousand nine hundred twelve) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 11 × 1,499. Its proper divisors sum to 138,088, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20348.

Abundant Number Arithmetic Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
54
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
219,131
Recamán's sequence
a(228,548) = 131,912
Square (n²)
17,400,775,744
Cube (n³)
2,295,371,129,942,528
Divisor count
16
σ(n) — sum of divisors
270,000
φ(n) — Euler's totient
59,920
Sum of prime factors
1,516

Primality

Prime factorization: 2 3 × 11 × 1499

Nearest primes: 131,909 (−3) · 131,927 (+15)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 11 · 22 · 44 · 88 · 1499 · 2998 · 5996 · 11992 · 16489 · 32978 · 65956 (half) · 131912
Aliquot sum (sum of proper divisors): 138,088
Factor pairs (a × b = 131,912)
1 × 131912
2 × 65956
4 × 32978
8 × 16489
11 × 11992
22 × 5996
44 × 2998
88 × 1499
First multiples
131,912 · 263,824 (double) · 395,736 · 527,648 · 659,560 · 791,472 · 923,384 · 1,055,296 · 1,187,208 · 1,319,120

Sums & aliquot sequence

As consecutive integers: 11,987 + 11,988 + … + 11,997 8,237 + 8,238 + … + 8,252 662 + 663 + … + 837
Aliquot sequence: 131,912 138,088 127,772 109,108 81,838 54,242 29,434 14,720 22,000 36,032 35,596 32,444 24,340 26,816 26,524 22,476 29,996 — unresolved within range

Continued fraction of √n

√131,912 = [363; (5, 12, 1, 3, 2, 1, 2, 14, 2, 4, 1, 4, 1, 1, 10, 7, 2, 1, 1, 5, 1, 5, 103, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand nine hundred twelve
Ordinal
131912th
Binary
100000001101001000
Octal
401510
Hexadecimal
0x20348
Base64
AgNI
One's complement
4,294,835,383 (32-bit)
Scientific notation
1.31912 × 10⁵
As a duration
131,912 s = 1 day, 12 hours, 38 minutes, 32 seconds
In other bases
ternary (3) 20200221122
quaternary (4) 200031020
quinary (5) 13210122
senary (6) 2454412
septenary (7) 1056404
nonary (9) 220848
undecimal (11) 90120
duodecimal (12) 64408
tridecimal (13) 48071
tetradecimal (14) 36104
pentadecimal (15) 29142

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλαϡιβʹ
Mayan (base 20)
𝋰·𝋩·𝋯·𝋬
Chinese
一十三萬一千九百一十二
Chinese (financial)
壹拾參萬壹仟玖佰壹拾貳
In other modern scripts
Eastern Arabic ١٣١٩١٢ Devanagari १३१९१२ Bengali ১৩১৯১২ Tamil ௧௩௧௯௧௨ Thai ๑๓๑๙๑๒ Tibetan ༡༣༡༩༡༢ Khmer ១៣១៩១២ Lao ໑໓໑໙໑໒ Burmese ၁၃၁၉၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131912, here are decompositions:

  • 3 + 131909 = 131912
  • 13 + 131899 = 131912
  • 19 + 131893 = 131912
  • 73 + 131839 = 131912
  • 163 + 131749 = 131912
  • 181 + 131731 = 131912
  • 199 + 131713 = 131912
  • 211 + 131701 = 131912

Showing the first eight; more decompositions exist.

Unicode codepoint
𠍈
CJK Unified Ideograph-20348
U+20348
Other letter (Lo)

UTF-8 encoding: F0 A0 8D 88 (4 bytes).

Hex color
#020348
RGB(2, 3, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.72.

Address
0.2.3.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.72

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 131,912 and was likely granted around 1872.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.