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116,131

116,131 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.).

116,131 (one hundred sixteen thousand one hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1C5A3.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Happy Number Odious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
18
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
131,611
Square (n²)
13,486,409,161
Cube (n³)
1,566,190,182,276,091
Divisor count
2
σ(n) — sum of divisors
116,132
φ(n) — Euler's totient
116,130

Primality

116,131 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 116131
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 116,131)
1 × 116131
First multiples
116,131 · 232,262 (double) · 348,393 · 464,524 · 580,655 · 696,786 · 812,917 · 929,048 · 1,045,179 · 1,161,310

Sums & aliquot sequence

As consecutive integers: 58,065 + 58,066

Continued fraction of √n

√116,131 = [340; (1, 3, 1, 1, 5, 32, 3, 1, 1, 1, 2, 1, 1, 1, 9, 1, 2, 3, 1, 3, 1, 2, 5, 1, …)]

Representations

In words
one hundred sixteen thousand one hundred thirty-one
Ordinal
116131st
Binary
11100010110100011
Octal
342643
Hexadecimal
0x1C5A3
Base64
AcWj
One's complement
4,294,851,164 (32-bit)
Scientific notation
1.16131 × 10⁵
As a duration
116,131 s = 1 day, 8 hours, 15 minutes, 31 seconds
In other bases
ternary (3) 12220022011
quaternary (4) 130112203
quinary (5) 12204011
senary (6) 2253351
septenary (7) 662401
nonary (9) 186264
undecimal (11) 7a284
duodecimal (12) 57257
tridecimal (13) 40b22
tetradecimal (14) 30471
pentadecimal (15) 24621

As an angle

116,131° = 322 × 360° + 211°
211° ≈ 3.683 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριϛρλαʹ
Mayan (base 20)
𝋮·𝋪·𝋦·𝋫
Chinese
一十一萬六千一百三十一
Chinese (financial)
壹拾壹萬陸仟壹佰參拾壹
In other modern scripts
Eastern Arabic ١١٦١٣١ Devanagari ११६१३१ Bengali ১১৬১৩১ Tamil ௧௧௬௧௩௧ Thai ๑๑๖๑๓๑ Tibetan ༡༡༦༡༣༡ Khmer ១១៦១៣១ Lao ໑໑໖໑໓໑ Burmese ၁၁၆၁၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01C5A3
RGB(1, 197, 163)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.197.163.

Address
0.1.197.163
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.197.163

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 116,131 and was likely granted around 1871.

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

Position in π

The digit sequence 116131 first appears in π at position 168,119 of the decimal expansion (the 168,119ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.