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131,711

131,711 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.).

131,711 (one hundred thirty-one thousand seven hundred eleven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2027F.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
21
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
117,131
Recamán's sequence
a(228,950) = 131,711
Square (n²)
17,347,787,521
Cube (n³)
2,284,894,442,178,431
Divisor count
2
σ(n) — sum of divisors
131,712
φ(n) — Euler's totient
131,710

Primality

131,711 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131711
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,711)
1 × 131711
First multiples
131,711 · 263,422 (double) · 395,133 · 526,844 · 658,555 · 790,266 · 921,977 · 1,053,688 · 1,185,399 · 1,317,110

Sums & aliquot sequence

As consecutive integers: 65,855 + 65,856

Continued fraction of √n

√131,711 = [362; (1, 11, 1, 1, 15, 3, 1, 6, 10, 1, 2, 5, 1, 1, 1, 1, 6, 5, 1, 1, 1, 9, 6, 4, …)]

Representations

In words
one hundred thirty-one thousand seven hundred eleven
Ordinal
131711th
Binary
100000001001111111
Octal
401177
Hexadecimal
0x2027F
Base64
AgJ/
One's complement
4,294,835,584 (32-bit)
Scientific notation
1.31711 × 10⁵
As a duration
131,711 s = 1 day, 12 hours, 35 minutes, 11 seconds
In other bases
ternary (3) 20200200012
quaternary (4) 200021333
quinary (5) 13203321
senary (6) 2453435
septenary (7) 1055666
nonary (9) 220605
undecimal (11) 8aa58
duodecimal (12) 6427b
tridecimal (13) 47c48
tetradecimal (14) 35ddd
pentadecimal (15) 2905b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺
Greek (Milesian)
͵ρλαψιαʹ
Mayan (base 20)
𝋰·𝋩·𝋥·𝋫
Chinese
一十三萬一千七百一十一
Chinese (financial)
壹拾參萬壹仟柒佰壹拾壹
In other modern scripts
Eastern Arabic ١٣١٧١١ Devanagari १३१७११ Bengali ১৩১৭১১ Tamil ௧௩௧௭௧௧ Thai ๑๓๑๗๑๑ Tibetan ༡༣༡༧༡༡ Khmer ១៣១៧១១ Lao ໑໓໑໗໑໑ Burmese ၁၃၁၇၁၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 131713, cousin with 131707.

Unicode codepoint
𠉿
CJK Unified Ideograph-2027F
U+2027F
Other letter (Lo)

UTF-8 encoding: F0 A0 89 BF (4 bytes).

Hex color
#02027F
RGB(2, 2, 127)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.127.

Address
0.2.2.127
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.127

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 131,711 and was likely granted around 1872.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.