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131,357

131,357 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.).

131,357 (one hundred thirty-one thousand three hundred fifty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2011D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
315
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
753,131
Square (n²)
17,254,661,449
Cube (n³)
2,266,520,563,956,293
Divisor count
2
σ(n) — sum of divisors
131,358
φ(n) — Euler's totient
131,356

Primality

131,357 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131357
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,357)
1 × 131357
First multiples
131,357 · 262,714 (double) · 394,071 · 525,428 · 656,785 · 788,142 · 919,499 · 1,050,856 · 1,182,213 · 1,313,570

Sums & aliquot sequence

As a sum of two squares: 181² + 314²
As consecutive integers: 65,678 + 65,679

Continued fraction of √n

√131,357 = [362; (2, 3, 5, 1, 1, 3, 1, 2, 24, 1, 1, 1, 2, 1, 9, 1, 13, 1, 7, 1, 4, 103, 2, 1, …)]

Representations

In words
one hundred thirty-one thousand three hundred fifty-seven
Ordinal
131357th
Binary
100000000100011101
Octal
400435
Hexadecimal
0x2011D
Base64
AgEd
One's complement
4,294,835,938 (32-bit)
Scientific notation
1.31357 × 10⁵
As a duration
131,357 s = 1 day, 12 hours, 29 minutes, 17 seconds
In other bases
ternary (3) 20200012002
quaternary (4) 200010131
quinary (5) 13200412
senary (6) 2452045
septenary (7) 1054652
nonary (9) 220162
undecimal (11) 8a766
duodecimal (12) 64025
tridecimal (13) 47a35
tetradecimal (14) 35c29
pentadecimal (15) 28dc2

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλατνζʹ
Mayan (base 20)
𝋰·𝋨·𝋧·𝋱
Chinese
一十三萬一千三百五十七
Chinese (financial)
壹拾參萬壹仟參佰伍拾柒
In other modern scripts
Eastern Arabic ١٣١٣٥٧ Devanagari १३१३५७ Bengali ১৩১৩৫৭ Tamil ௧௩௧௩௫௭ Thai ๑๓๑๓๕๗ Tibetan ༡༣༡༣༥༧ Khmer ១៣១៣៥៧ Lao ໑໓໑໓໕໗ Burmese ၁၃၁၃၅၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 131363.

Unicode codepoint
𠄝
CJK Unified Ideograph-2011D
U+2011D
Other letter (Lo)

UTF-8 encoding: F0 A0 84 9D (4 bytes).

Hex color
#02011D
RGB(2, 1, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.29.

Address
0.2.1.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.29

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 131,357 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.