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131,311

131,311 is a prime, 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.).

131,311 (one hundred thirty-one thousand three hundred eleven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x200EF.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
9
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
113,131
Recamán's sequence
a(24,405) = 131,311
Square (n²)
17,242,578,721
Cube (n³)
2,264,140,254,433,231
Divisor count
2
σ(n) — sum of divisors
131,312
φ(n) — Euler's totient
131,310

Primality

131,311 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131311
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,311)
1 × 131311
First multiples
131,311 · 262,622 (double) · 393,933 · 525,244 · 656,555 · 787,866 · 919,177 · 1,050,488 · 1,181,799 · 1,313,110

Sums & aliquot sequence

As consecutive integers: 65,655 + 65,656

Continued fraction of √n

√131,311 = [362; (2, 1, 2, 2, 15, 2, 1, 144, 3, 1, 1, 1, 7, 1, 2, 3, 1, 2, 1, 28, 3, 1, 12, 2, …)]

Representations

In words
one hundred thirty-one thousand three hundred eleven
Ordinal
131311th
Binary
100000000011101111
Octal
400357
Hexadecimal
0x200EF
Base64
AgDv
One's complement
4,294,835,984 (32-bit)
Scientific notation
1.31311 × 10⁵
As a duration
131,311 s = 1 day, 12 hours, 28 minutes, 31 seconds
In other bases
ternary (3) 20200010101
quaternary (4) 200003233
quinary (5) 13200221
senary (6) 2451531
septenary (7) 1054555
nonary (9) 220111
undecimal (11) 8a724
duodecimal (12) 63ba7
tridecimal (13) 479cb
tetradecimal (14) 35bd5
pentadecimal (15) 28d91

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓏺
Greek (Milesian)
͵ρλατιαʹ
Mayan (base 20)
𝋰·𝋨·𝋥·𝋫
Chinese
一十三萬一千三百一十一
Chinese (financial)
壹拾參萬壹仟參佰壹拾壹
In other modern scripts
Eastern Arabic ١٣١٣١١ Devanagari १३१३११ Bengali ১৩১৩১১ Tamil ௧௩௧௩௧௧ Thai ๑๓๑๓๑๑ Tibetan ༡༣༡༣༡༡ Khmer ១៣១៣១១ Lao ໑໓໑໓໑໑ Burmese ၁၃၁၃၁၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 131317.

Unicode codepoint
𠃯
CJK Unified Ideograph-200Ef
U+200EF
Other letter (Lo)

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

Hex color
#0200EF
RGB(2, 0, 239)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.239.

Address
0.2.0.239
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.239

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 131,311 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 131311 first appears in π at position 493,008 of the decimal expansion (the 493,008ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.