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113,131

113,131 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.).

113,131 (one hundred thirteen 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, 0x1B9EB.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
9
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
131,311
Recamán's sequence
a(246,314) = 113,131
Square (n²)
12,798,623,161
Cube (n³)
1,447,921,036,827,091
Divisor count
2
σ(n) — sum of divisors
113,132
φ(n) — Euler's totient
113,130

Primality

113,131 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113131
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,131)
1 × 113131
First multiples
113,131 · 226,262 (double) · 339,393 · 452,524 · 565,655 · 678,786 · 791,917 · 905,048 · 1,018,179 · 1,131,310

Sums & aliquot sequence

As consecutive integers: 56,565 + 56,566

Continued fraction of √n

√113,131 = [336; (2, 1, 6, 5, 15, 2, 4, 2, 223, 1, 3, 1, 1, 1, 1, 2, 1, 2, 1, 4, 2, 14, 2, 74, …)]

Representations

In words
one hundred thirteen thousand one hundred thirty-one
Ordinal
113131st
Binary
11011100111101011
Octal
334753
Hexadecimal
0x1B9EB
Base64
Abnr
One's complement
4,294,854,164 (32-bit)
Scientific notation
1.13131 × 10⁵
As a duration
113,131 s = 1 day, 7 hours, 25 minutes, 31 seconds
In other bases
ternary (3) 12202012001
quaternary (4) 123213223
quinary (5) 12110011
senary (6) 2231431
septenary (7) 650554
nonary (9) 182161
undecimal (11) 77aa7
duodecimal (12) 55577
tridecimal (13) 3c655
tetradecimal (14) 2d32b
pentadecimal (15) 237c1

As an angle

113,131° = 314 × 360° + 91°
91° ≈ 1.588 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριγρλαʹ
Mayan (base 20)
𝋮·𝋢·𝋰·𝋫
Chinese
一十一萬三千一百三十一
Chinese (financial)
壹拾壹萬參仟壹佰參拾壹
In other modern scripts
Eastern Arabic ١١٣١٣١ Devanagari ११३१३१ Bengali ১১৩১৩১ Tamil ௧௧௩௧௩௧ Thai ๑๑๓๑๓๑ Tibetan ༡༡༣༡༣༡ Khmer ១១៣១៣១ Lao ໑໑໓໑໓໑ Burmese ၁၁၃၁၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B9EB
RGB(1, 185, 235)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.235.

Address
0.1.185.235
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.235

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 113,131 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 113131 first appears in π at position 170,939 of the decimal expansion (the 170,939ordinal-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.