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131,591

131,591 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.).

131,591 (one hundred thirty-one thousand five 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, 0x20207.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
135
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
195,131
Recamán's sequence
a(229,190) = 131,591
Square (n²)
17,316,191,281
Cube (n³)
2,278,654,926,858,071
Divisor count
2
σ(n) — sum of divisors
131,592
φ(n) — Euler's totient
131,590

Primality

131,591 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131591
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,591)
1 × 131591
First multiples
131,591 · 263,182 (double) · 394,773 · 526,364 · 657,955 · 789,546 · 921,137 · 1,052,728 · 1,184,319 · 1,315,910

Sums & aliquot sequence

As consecutive integers: 65,795 + 65,796

Continued fraction of √n

√131,591 = [362; (1, 3, 12, 1, 15, 1, 18, 6, 1, 1, 1, 1, 11, 1, 2, 4, 3, 1, 1, 2, 2, 1, 65, 3, …)]

Representations

In words
one hundred thirty-one thousand five hundred ninety-one
Ordinal
131591st
Binary
100000001000000111
Octal
401007
Hexadecimal
0x20207
Base64
AgIH
One's complement
4,294,835,704 (32-bit)
Scientific notation
1.31591 × 10⁵
As a duration
131,591 s = 1 day, 12 hours, 33 minutes, 11 seconds
In other bases
ternary (3) 20200111202
quaternary (4) 200020013
quinary (5) 13202331
senary (6) 2453115
septenary (7) 1055435
nonary (9) 220452
undecimal (11) 8a959
duodecimal (12) 6419b
tridecimal (13) 47b85
tetradecimal (14) 35d55
pentadecimal (15) 28ecb

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλαφϟαʹ
Mayan (base 20)
𝋰·𝋨·𝋳·𝋫
Chinese
一十三萬一千五百九十一
Chinese (financial)
壹拾參萬壹仟伍佰玖拾壹
In other modern scripts
Eastern Arabic ١٣١٥٩١ Devanagari १३१५९१ Bengali ১৩১৫৯১ Tamil ௧௩௧௫௯௧ Thai ๑๓๑๕๙๑ Tibetan ༡༣༡༥༩༡ Khmer ១៣១៥៩១ Lao ໑໓໑໕໙໑ Burmese ၁၃၁၅၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠈇
CJK Unified Ideograph-20207
U+20207
Other letter (Lo)

UTF-8 encoding: F0 A0 88 87 (4 bytes).

Hex color
#020207
RGB(2, 2, 7)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.7.

Address
0.2.2.7
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.7

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 131,591 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.