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131,160

131,160 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 Gapful Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
61,131
Square (n²)
17,202,945,600
Cube (n³)
2,256,338,344,896,000
Divisor count
32
σ(n) — sum of divisors
393,840
φ(n) — Euler's totient
34,944
Sum of prime factors
1,107

Primality

Prime factorization: 2 3 × 3 × 5 × 1093

Nearest primes: 131,149 (−11) · 131,171 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 1093 · 2186 · 3279 · 4372 · 5465 · 6558 · 8744 · 10930 · 13116 · 16395 · 21860 · 26232 · 32790 · 43720 · 65580 (half) · 131160
Aliquot sum (sum of proper divisors): 262,680
Factor pairs (a × b = 131,160)
1 × 131160
2 × 65580
3 × 43720
4 × 32790
5 × 26232
6 × 21860
8 × 16395
10 × 13116
12 × 10930
15 × 8744
20 × 6558
24 × 5465
30 × 4372
40 × 3279
60 × 2186
120 × 1093
First multiples
131,160 · 262,320 (double) · 393,480 · 524,640 · 655,800 · 786,960 · 918,120 · 1,049,280 · 1,180,440 · 1,311,600

Sums & aliquot sequence

As consecutive integers: 43,719 + 43,720 + 43,721 26,230 + 26,231 + 26,232 + 26,233 + 26,234 8,737 + 8,738 + … + 8,751 8,190 + 8,191 + … + 8,205
Aliquot sequence: 131,160 262,680 601,320 1,203,000 2,559,720 5,242,200 11,010,480 25,758,000 69,298,416 149,549,928 259,407,192 448,067,688 672,945,912 1,149,616,128 2,079,899,392 2,087,346,488 1,900,273,792 — unresolved within range

Continued fraction of √n

√131,160 = [362; (6, 4, 8, 2, 1, 1, 1, 1, 2, 1, 3, 14, 1, 1, 18, 18, 18, 1, 1, 14, 3, 1, 2, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand one hundred sixty
Ordinal
131160th
Binary
100000000001011000
Octal
400130
Hexadecimal
0x20058
Base64
AgBY
One's complement
4,294,836,135 (32-bit)
Scientific notation
1.3116 × 10⁵
As a duration
131,160 s = 1 day, 12 hours, 26 minutes
In other bases
ternary (3) 20122220210
quaternary (4) 200001120
quinary (5) 13144120
senary (6) 2451120
septenary (7) 1054251
nonary (9) 218823
undecimal (11) 8a5a7
duodecimal (12) 63aa0
tridecimal (13) 47913
tetradecimal (14) 35b28
pentadecimal (15) 28ce0

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλαρξʹ
Mayan (base 20)
𝋰·𝋧·𝋲·𝋠
Chinese
一十三萬一千一百六十
Chinese (financial)
壹拾參萬壹仟壹佰陸拾
In other modern scripts
Eastern Arabic ١٣١١٦٠ Devanagari १३११६० Bengali ১৩১১৬০ Tamil ௧௩௧௧௬௦ Thai ๑๓๑๑๖๐ Tibetan ༡༣༡༡༦༠ Khmer ១៣១១៦០ Lao ໑໓໑໑໖໐ Burmese ၁၃၁၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131160, here are decompositions:

  • 11 + 131149 = 131160
  • 17 + 131143 = 131160
  • 31 + 131129 = 131160
  • 47 + 131113 = 131160
  • 59 + 131101 = 131160
  • 89 + 131071 = 131160
  • 97 + 131063 = 131160
  • 101 + 131059 = 131160

Showing the first eight; more decompositions exist.

Unicode codepoint
𠁘
CJK Unified Ideograph-20058
U+20058
Other letter (Lo)

UTF-8 encoding: F0 A0 81 98 (4 bytes).

Hex color
#020058
RGB(2, 0, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.88.

Address
0.2.0.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.88

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 131,160 and was likely granted around 1872.

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000131160
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.