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131,891

131,891 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.).

131,891 (one hundred thirty-one thousand eight hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20333.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
216
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
198,131
Recamán's sequence
a(228,590) = 131,891
Square (n²)
17,395,235,881
Cube (n³)
2,294,275,055,580,971
Divisor count
2
σ(n) — sum of divisors
131,892
φ(n) — Euler's totient
131,890

Primality

131,891 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131891
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,891)
1 × 131891
First multiples
131,891 · 263,782 (double) · 395,673 · 527,564 · 659,455 · 791,346 · 923,237 · 1,055,128 · 1,187,019 · 1,318,910

Sums & aliquot sequence

As consecutive integers: 65,945 + 65,946

Continued fraction of √n

√131,891 = [363; (5, 1, 19, 1, 11, 2, 1, 3, 1, 2, 3, 51, 1, 1, 2, 2, 72, 4, 1, 1, 1, 1, 2, 1, …)]

Representations

In words
one hundred thirty-one thousand eight hundred ninety-one
Ordinal
131891st
Binary
100000001100110011
Octal
401463
Hexadecimal
0x20333
Base64
AgMz
One's complement
4,294,835,404 (32-bit)
Scientific notation
1.31891 × 10⁵
As a duration
131,891 s = 1 day, 12 hours, 38 minutes, 11 seconds
In other bases
ternary (3) 20200220212
quaternary (4) 200030303
quinary (5) 13210031
senary (6) 2454335
septenary (7) 1056344
nonary (9) 220825
undecimal (11) 90101
duodecimal (12) 643ab
tridecimal (13) 48056
tetradecimal (14) 360cb
pentadecimal (15) 2912b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλαωϟαʹ
Mayan (base 20)
𝋰·𝋩·𝋮·𝋫
Chinese
一十三萬一千八百九十一
Chinese (financial)
壹拾參萬壹仟捌佰玖拾壹
In other modern scripts
Eastern Arabic ١٣١٨٩١ Devanagari १३१८९१ Bengali ১৩১৮৯১ Tamil ௧௩௧௮௯௧ Thai ๑๓๑๘๙๑ Tibetan ༡༣༡༨༩༡ Khmer ១៣១៨៩១ Lao ໑໓໑໘໙໑ Burmese ၁၃၁၈၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 131893.

Unicode codepoint
𠌳
CJK Unified Ideograph-20333
U+20333
Other letter (Lo)

UTF-8 encoding: F0 A0 8C B3 (4 bytes).

Hex color
#020333
RGB(2, 3, 51)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.51.

Address
0.2.3.51
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.51

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 131,891 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 131891 first appears in π at position 973,529 of the decimal expansion (the 973,529ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.