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113,381

113,381 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.).

113,381 (one hundred thirteen thousand three 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, 0x1BAE5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
72
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
183,311
Recamán's sequence
a(55,497) = 113,381
Square (n²)
12,855,251,161
Cube (n³)
1,457,541,231,885,341
Divisor count
2
σ(n) — sum of divisors
113,382
φ(n) — Euler's totient
113,380

Primality

113,381 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113381
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,381)
1 × 113381
First multiples
113,381 · 226,762 (double) · 340,143 · 453,524 · 566,905 · 680,286 · 793,667 · 907,048 · 1,020,429 · 1,133,810

Sums & aliquot sequence

As a sum of two squares: 34² + 335²
As consecutive integers: 56,690 + 56,691

Continued fraction of √n

√113,381 = [336; (1, 2, 1, 1, 2, 2, 23, 1, 1, 1, 2, 1, 1, 1, 1, 1, 7, 3, 3, 3, 1, 1, 4, 1, …)]

Representations

In words
one hundred thirteen thousand three hundred eighty-one
Ordinal
113381st
Binary
11011101011100101
Octal
335345
Hexadecimal
0x1BAE5
Base64
Abrl
One's complement
4,294,853,914 (32-bit)
Scientific notation
1.13381 × 10⁵
As a duration
113,381 s = 1 day, 7 hours, 29 minutes, 41 seconds
In other bases
ternary (3) 12202112022
quaternary (4) 123223211
quinary (5) 12112011
senary (6) 2232525
septenary (7) 651362
nonary (9) 182468
undecimal (11) 78204
duodecimal (12) 55745
tridecimal (13) 3c7b8
tetradecimal (14) 2d469
pentadecimal (15) 238db

As an angle

113,381° = 314 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριγτπαʹ
Mayan (base 20)
𝋮·𝋣·𝋩·𝋡
Chinese
一十一萬三千三百八十一
Chinese (financial)
壹拾壹萬參仟參佰捌拾壹
In other modern scripts
Eastern Arabic ١١٣٣٨١ Devanagari ११३३८१ Bengali ১১৩৩৮১ Tamil ௧௧௩௩௮௧ Thai ๑๑๓๓๘๑ Tibetan ༡༡༣༣༨༡ Khmer ១១៣៣៨១ Lao ໑໑໓໓໘໑ Burmese ၁၁၃၃၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 113383.

Hex color
#01BAE5
RGB(1, 186, 229)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.229.

Address
0.1.186.229
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.229

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 113,381 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 113381 first appears in π at position 250,665 of the decimal expansion (the 250,665ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.