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131,116

131,116 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.).
Cube-Free Deficient Number Evil Number Happy Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
18
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
611,131
Square (n²)
17,191,405,456
Cube (n³)
2,254,068,317,768,896
Divisor count
6
σ(n) — sum of divisors
229,460
φ(n) — Euler's totient
65,556
Sum of prime factors
32,783

Primality

Prime factorization: 2 2 × 32779

Nearest primes: 131,113 (−3) · 131,129 (+13)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 32779 · 65558 (half) · 131116
Aliquot sum (sum of proper divisors): 98,344
Factor pairs (a × b = 131,116)
1 × 131116
2 × 65558
4 × 32779
First multiples
131,116 · 262,232 (double) · 393,348 · 524,464 · 655,580 · 786,696 · 917,812 · 1,048,928 · 1,180,044 · 1,311,160

Sums & aliquot sequence

As consecutive integers: 16,386 + 16,387 + … + 16,393
Aliquot sequence: 131,116 98,344 96,056 84,064 88,304 82,816 82,424 72,136 66,104 57,856 58,766 29,386 21,014 17,386 8,696 7,624 6,686 — unresolved within range

Continued fraction of √n

√131,116 = [362; (10, 17, 1, 1, 3, 2, 3, 1, 8, 1, 7, 2, 2, 1, 8, 1, 4, 2, 7, 5, 1, 9, 11, 1, …)]

Representations

In words
one hundred thirty-one thousand one hundred sixteen
Ordinal
131116th
Binary
100000000000101100
Octal
400054
Hexadecimal
0x2002C
Base64
AgAs
One's complement
4,294,836,179 (32-bit)
Scientific notation
1.31116 × 10⁵
As a duration
131,116 s = 1 day, 12 hours, 25 minutes, 16 seconds
In other bases
ternary (3) 20122212011
quaternary (4) 200000230
quinary (5) 13143431
senary (6) 2451004
septenary (7) 1054156
nonary (9) 218764
undecimal (11) 8a567
duodecimal (12) 63a64
tridecimal (13) 478ab
tetradecimal (14) 35ad6
pentadecimal (15) 28cb1

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαριϛʹ
Mayan (base 20)
𝋰·𝋧·𝋯·𝋰
Chinese
一十三萬一千一百一十六
Chinese (financial)
壹拾參萬壹仟壹佰壹拾陸
In other modern scripts
Eastern Arabic ١٣١١١٦ Devanagari १३१११६ Bengali ১৩১১১৬ Tamil ௧௩௧௧௧௬ Thai ๑๓๑๑๑๖ Tibetan ༡༣༡༡༡༦ Khmer ១៣១១១៦ Lao ໑໓໑໑໑໖ Burmese ၁၃၁၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131116, here are decompositions:

  • 3 + 131113 = 131116
  • 5 + 131111 = 131116
  • 53 + 131063 = 131116
  • 107 + 131009 = 131116
  • 257 + 130859 = 131116
  • 347 + 130769 = 131116
  • 467 + 130649 = 131116
  • 563 + 130553 = 131116

Showing the first eight; more decompositions exist.

Unicode codepoint
𠀬
CJK Unified Ideograph-2002C
U+2002C
Other letter (Lo)

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

Hex color
#02002C
RGB(2, 0, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.44.

Address
0.2.0.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.44

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 131,116 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 131116 first appears in π at position 800,135 of the decimal expansion (the 800,135ordinal-suffix:th 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.