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131,131

131,131 is a composite number, odd.

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.).
Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Palindrome Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
9
Digital root
1
Palindrome
Yes
Bit width
18 bits
Square (n²)
17,195,339,161
Cube (n³)
2,254,842,019,521,091
Divisor count
16
σ(n) — sum of divisors
177,408
φ(n) — Euler's totient
93,600
Sum of prime factors
162

Primality

Prime factorization: 7 × 11 × 13 × 131

Nearest primes: 131,129 (−2) · 131,143 (+12)

Divisors & multiples

All divisors (16)
1 · 7 · 11 · 13 · 77 · 91 · 131 · 143 · 917 · 1001 · 1441 · 1703 · 10087 · 11921 · 18733 · 131131
Aliquot sum (sum of proper divisors): 46,277
Factor pairs (a × b = 131,131)
1 × 131131
7 × 18733
11 × 11921
13 × 10087
77 × 1703
91 × 1441
131 × 1001
143 × 917
First multiples
131,131 · 262,262 (double) · 393,393 · 524,524 · 655,655 · 786,786 · 917,917 · 1,049,048 · 1,180,179 · 1,311,310

Sums & aliquot sequence

As consecutive integers: 65,565 + 65,566 18,730 + 18,731 + … + 18,736 11,916 + 11,917 + … + 11,926 10,081 + 10,082 + … + 10,093
Aliquot sequence: 131,131 46,277 11,515 4,901 589 51 21 11 1 0 — terminates at zero

Continued fraction of √n

√131,131 = [362; (8, 3, 10, 1, 1, 1, 7, 1, 2, 80, 8, 28, 1, 5, 2, 3, 1, 12, 1, 8, 72, 3, 4, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand one hundred thirty-one
Ordinal
131131st
Binary
100000000000111011
Octal
400073
Hexadecimal
0x2003B
Base64
AgA7
One's complement
4,294,836,164 (32-bit)
Scientific notation
1.31131 × 10⁵
As a duration
131,131 s = 1 day, 12 hours, 25 minutes, 31 seconds
In other bases
ternary (3) 20122212201
quaternary (4) 200000323
quinary (5) 13144011
senary (6) 2451031
septenary (7) 1054210
nonary (9) 218781
undecimal (11) 8a580
duodecimal (12) 63a77
tridecimal (13) 478c0
tetradecimal (14) 35b07
pentadecimal (15) 28cc1

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλαρλαʹ
Mayan (base 20)
𝋰·𝋧·𝋰·𝋫
Chinese
一十三萬一千一百三十一
Chinese (financial)
壹拾參萬壹仟壹佰參拾壹
In other modern scripts
Eastern Arabic ١٣١١٣١ Devanagari १३११३१ Bengali ১৩১১৩১ Tamil ௧௩௧௧௩௧ Thai ๑๓๑๑๓๑ Tibetan ༡༣༡༡༣༡ Khmer ១៣១១៣១ Lao ໑໓໑໑໓໑ Burmese ၁၃၁၁၃၁

Also seen as

Unicode codepoint
𠀻
CJK Unified Ideograph-2003B
U+2003B
Other letter (Lo)

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

Hex color
#02003B
RGB(2, 0, 59)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.59.

Address
0.2.0.59
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.59

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 131,131 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
000131131
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.

Position in π

The digit sequence 131131 first appears in π at position 127,905 of the decimal expansion (the 127,905ordinal-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.