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131,088

131,088 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 Evil Number Happy Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
880,131
Square (n²)
17,184,063,744
Cube (n³)
2,252,624,548,073,472
Divisor count
20
σ(n) — sum of divisors
338,768
φ(n) — Euler's totient
43,680
Sum of prime factors
2,742

Primality

Prime factorization: 2 4 × 3 × 2731

Nearest primes: 131,071 (−17) · 131,101 (+13)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 2731 · 5462 · 8193 · 10924 · 16386 · 21848 · 32772 · 43696 · 65544 (half) · 131088
Aliquot sum (sum of proper divisors): 207,680
Factor pairs (a × b = 131,088)
1 × 131088
2 × 65544
3 × 43696
4 × 32772
6 × 21848
8 × 16386
12 × 10924
16 × 8193
24 × 5462
48 × 2731
First multiples
131,088 · 262,176 (double) · 393,264 · 524,352 · 655,440 · 786,528 · 917,616 · 1,048,704 · 1,179,792 · 1,310,880

Sums & aliquot sequence

As consecutive integers: 43,695 + 43,696 + 43,697 4,081 + 4,082 + … + 4,112 1,318 + 1,319 + … + 1,413
Aliquot sequence: 131,088 207,680 340,960 464,936 417,964 313,480 434,960 576,508 443,084 332,320 490,208 474,952 415,598 207,802 148,454 75,946 53,078 — unresolved within range

Continued fraction of √n

√131,088 = [362; (16, 2, 5, 5, 1, 4, 18, 2, 1, 3, 2, 2, 1, 1, 3, 2, 1, 2, 4, 1, 2, 3, 1, 13, …)]

Representations

In words
one hundred thirty-one thousand eighty-eight
Ordinal
131088th
Binary
100000000000010000
Octal
400020
Hexadecimal
0x20010
Base64
AgAQ
One's complement
4,294,836,207 (32-bit)
Scientific notation
1.31088 × 10⁵
As a duration
131,088 s = 1 day, 12 hours, 24 minutes, 48 seconds
In other bases
ternary (3) 20122211010
quaternary (4) 200000100
quinary (5) 13143323
senary (6) 2450520
septenary (7) 1054116
nonary (9) 218733
undecimal (11) 8a541
duodecimal (12) 63a40
tridecimal (13) 47889
tetradecimal (14) 35ab6
pentadecimal (15) 28c93

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαπηʹ
Mayan (base 20)
𝋰·𝋧·𝋮·𝋨
Chinese
一十三萬一千零八十八
Chinese (financial)
壹拾參萬壹仟零捌拾捌
In other modern scripts
Eastern Arabic ١٣١٠٨٨ Devanagari १३१०८८ Bengali ১৩১০৮৮ Tamil ௧௩௧௦௮௮ Thai ๑๓๑๐๘๘ Tibetan ༡༣༡༠༨༨ Khmer ១៣១០៨៨ Lao ໑໓໑໐໘໘ Burmese ၁၃၁၀၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131088, here are decompositions:

  • 17 + 131071 = 131088
  • 29 + 131059 = 131088
  • 47 + 131041 = 131088
  • 79 + 131009 = 131088
  • 101 + 130987 = 131088
  • 107 + 130981 = 131088
  • 131 + 130957 = 131088
  • 229 + 130859 = 131088

Showing the first eight; more decompositions exist.

Unicode codepoint
𠀐
CJK Unified Ideograph-20010
U+20010
Other letter (Lo)

UTF-8 encoding: F0 A0 80 90 (4 bytes).

Hex color
#020010
RGB(2, 0, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.16.

Address
0.2.0.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.16

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 131,088 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 131088 first appears in π at position 297,732 of the decimal expansion (the 297,732ordinal-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.