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131,358

131,358 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.).

131,358 (one hundred thirty-one thousand three hundred fifty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 21,893. Its proper divisors sum to 131,370, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2011E.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
360
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
853,131
Square (n²)
17,254,924,164
Cube (n³)
2,266,572,328,334,712
Divisor count
8
σ(n) — sum of divisors
262,728
φ(n) — Euler's totient
43,784
Sum of prime factors
21,898

Primality

Prime factorization: 2 × 3 × 21893

Nearest primes: 131,357 (−1) · 131,363 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 21893 · 43786 · 65679 (half) · 131358
Aliquot sum (sum of proper divisors): 131,370
Factor pairs (a × b = 131,358)
1 × 131358
2 × 65679
3 × 43786
6 × 21893
First multiples
131,358 · 262,716 (double) · 394,074 · 525,432 · 656,790 · 788,148 · 919,506 · 1,050,864 · 1,182,222 · 1,313,580

Sums & aliquot sequence

As consecutive integers: 43,785 + 43,786 + 43,787 32,838 + 32,839 + 32,840 + 32,841 10,941 + 10,942 + … + 10,952
Aliquot sequence: 131,358 131,370 196,950 334,266 334,278 510,462 691,794 915,246 1,240,434 2,012,046 2,012,058 2,347,440 4,930,368 8,115,072 16,528,128 27,462,840 55,602,120 — unresolved within range

Continued fraction of √n

√131,358 = [362; (2, 3, 3, 1, 9, 2, 3, 1, 6, 2, 2, 120, 2, 2, 6, 1, 3, 2, 9, 1, 3, 3, 2, 724)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand three hundred fifty-eight
Ordinal
131358th
Binary
100000000100011110
Octal
400436
Hexadecimal
0x2011E
Base64
AgEe
One's complement
4,294,835,937 (32-bit)
Scientific notation
1.31358 × 10⁵
As a duration
131,358 s = 1 day, 12 hours, 29 minutes, 18 seconds
In other bases
ternary (3) 20200012010
quaternary (4) 200010132
quinary (5) 13200413
senary (6) 2452050
septenary (7) 1054653
nonary (9) 220163
undecimal (11) 8a767
duodecimal (12) 64026
tridecimal (13) 47a36
tetradecimal (14) 35c2a
pentadecimal (15) 28dc3

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλατνηʹ
Mayan (base 20)
𝋰·𝋨·𝋧·𝋲
Chinese
一十三萬一千三百五十八
Chinese (financial)
壹拾參萬壹仟參佰伍拾捌
In other modern scripts
Eastern Arabic ١٣١٣٥٨ Devanagari १३१३५८ Bengali ১৩১৩৫৮ Tamil ௧௩௧௩௫௮ Thai ๑๓๑๓๕๘ Tibetan ༡༣༡༣༥༨ Khmer ១៣១៣៥៨ Lao ໑໓໑໓໕໘ Burmese ၁၃၁၃၅၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131358, here are decompositions:

  • 37 + 131321 = 131358
  • 41 + 131317 = 131358
  • 47 + 131311 = 131358
  • 61 + 131297 = 131358
  • 107 + 131251 = 131358
  • 109 + 131249 = 131358
  • 127 + 131231 = 131358
  • 137 + 131221 = 131358

Showing the first eight; more decompositions exist.

Unicode codepoint
𠄞
CJK Unified Ideograph-2011E
U+2011E
Other letter (Lo)

UTF-8 encoding: F0 A0 84 9E (4 bytes).

Hex color
#02011E
RGB(2, 1, 30)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.30.

Address
0.2.1.30
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.30

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 131,358 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 131358 first appears in π at position 202,993 of the decimal expansion (the 202,993ordinal-suffix:rd 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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.