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131,318

131,318 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.).

131,318 (one hundred thirty-one thousand three hundred eighteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 11 × 47 × 127. Written other ways, in hexadecimal, 0x200F6.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
72
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
813,131
Recamán's sequence
a(24,391) = 131,318
Square (n²)
17,244,417,124
Cube (n³)
2,264,502,367,889,432
Divisor count
16
σ(n) — sum of divisors
221,184
φ(n) — Euler's totient
57,960
Sum of prime factors
187

Primality

Prime factorization: 2 × 11 × 47 × 127

Nearest primes: 131,317 (−1) · 131,321 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 11 · 22 · 47 · 94 · 127 · 254 · 517 · 1034 · 1397 · 2794 · 5969 · 11938 · 65659 (half) · 131318
Aliquot sum (sum of proper divisors): 89,866
Factor pairs (a × b = 131,318)
1 × 131318
2 × 65659
11 × 11938
22 × 5969
47 × 2794
94 × 1397
127 × 1034
254 × 517
First multiples
131,318 · 262,636 (double) · 393,954 · 525,272 · 656,590 · 787,908 · 919,226 · 1,050,544 · 1,181,862 · 1,313,180

Sums & aliquot sequence

As consecutive integers: 32,828 + 32,829 + 32,830 + 32,831 11,933 + 11,934 + … + 11,943 2,963 + 2,964 + … + 3,006 2,771 + 2,772 + … + 2,817
Aliquot sequence: 131,318 89,866 68,534 34,270 30,530 26,494 16,346 10,438 6,194 3,646 1,826 1,198 602 454 230 202 104 — unresolved within range

Continued fraction of √n

√131,318 = [362; (2, 1, 1, 1, 4, 5, 1, 2, 1, 1, 1, 2, 3, 1, 24, 4, 1, 1, 4, 1, 5, 1, 4, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand three hundred eighteen
Ordinal
131318th
Binary
100000000011110110
Octal
400366
Hexadecimal
0x200F6
Base64
AgD2
One's complement
4,294,835,977 (32-bit)
Scientific notation
1.31318 × 10⁵
As a duration
131,318 s = 1 day, 12 hours, 28 minutes, 38 seconds
In other bases
ternary (3) 20200010122
quaternary (4) 200003312
quinary (5) 13200233
senary (6) 2451542
septenary (7) 1054565
nonary (9) 220118
undecimal (11) 8a730
duodecimal (12) 63bb2
tridecimal (13) 47a05
tetradecimal (14) 35bdc
pentadecimal (15) 28d98
Palindromic in base 6

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλατιηʹ
Mayan (base 20)
𝋰·𝋨·𝋥·𝋲
Chinese
一十三萬一千三百一十八
Chinese (financial)
壹拾參萬壹仟參佰壹拾捌
In other modern scripts
Eastern Arabic ١٣١٣١٨ Devanagari १३१३१८ Bengali ১৩১৩১৮ Tamil ௧௩௧௩௧௮ Thai ๑๓๑๓๑๘ Tibetan ༡༣༡༣༡༨ Khmer ១៣១៣១៨ Lao ໑໓໑໓໑໘ Burmese ၁၃၁၃၁၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131318, here are decompositions:

  • 7 + 131311 = 131318
  • 67 + 131251 = 131318
  • 97 + 131221 = 131318
  • 277 + 131041 = 131318
  • 307 + 131011 = 131318
  • 331 + 130987 = 131318
  • 337 + 130981 = 131318
  • 349 + 130969 = 131318

Showing the first eight; more decompositions exist.

Unicode codepoint
𠃶
CJK Unified Ideograph-200F6
U+200F6
Other letter (Lo)

UTF-8 encoding: F0 A0 83 B6 (4 bytes).

Hex color
#0200F6
RGB(2, 0, 246)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.246.

Address
0.2.0.246
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.246

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 131,318 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 131318 first appears in π at position 547,972 of the decimal expansion (the 547,972ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.