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131,581

131,581 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.).

131,581 (one hundred thirty-one thousand five hundred eighty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x201FD.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
120
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
185,131
Recamán's sequence
a(229,210) = 131,581
Square (n²)
17,313,559,561
Cube (n³)
2,278,135,480,595,941
Divisor count
2
σ(n) — sum of divisors
131,582
φ(n) — Euler's totient
131,580

Primality

131,581 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131581
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,581)
1 × 131581
First multiples
131,581 · 263,162 (double) · 394,743 · 526,324 · 657,905 · 789,486 · 921,067 · 1,052,648 · 1,184,229 · 1,315,810

Sums & aliquot sequence

As a sum of two squares: 190² + 309²
As consecutive integers: 65,790 + 65,791

Continued fraction of √n

√131,581 = [362; (1, 2, 1, 6, 6, 3, 1, 2, 11, 1, 2, 1, 2, 4, 2, 1, 1, 1, 5, 1, 9, 1, 4, 1, …)]

Representations

In words
one hundred thirty-one thousand five hundred eighty-one
Ordinal
131581st
Binary
100000000111111101
Octal
400775
Hexadecimal
0x201FD
Base64
AgH9
One's complement
4,294,835,714 (32-bit)
Scientific notation
1.31581 × 10⁵
As a duration
131,581 s = 1 day, 12 hours, 33 minutes, 1 second
In other bases
ternary (3) 20200111101
quaternary (4) 200013331
quinary (5) 13202311
senary (6) 2453101
septenary (7) 1055422
nonary (9) 220441
undecimal (11) 8a94a
duodecimal (12) 64191
tridecimal (13) 47b78
tetradecimal (14) 35d49
pentadecimal (15) 28ec1

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλαφπαʹ
Mayan (base 20)
𝋰·𝋨·𝋳·𝋡
Chinese
一十三萬一千五百八十一
Chinese (financial)
壹拾參萬壹仟伍佰捌拾壹
In other modern scripts
Eastern Arabic ١٣١٥٨١ Devanagari १३१५८१ Bengali ১৩১৫৮১ Tamil ௧௩௧௫௮௧ Thai ๑๓๑๕๘๑ Tibetan ༡༣༡༥༨༡ Khmer ១៣១៥៨១ Lao ໑໓໑໕໘໑ Burmese ၁၃၁၅၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠇽
CJK Unified Ideograph-201Fd
U+201FD
Other letter (Lo)

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

Hex color
#0201FD
RGB(2, 1, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.253.

Address
0.2.1.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.253

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 131,581 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.