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113,341

113,341 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.).

113,341 (one hundred thirteen thousand three hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BABD.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
36
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
143,311
Recamán's sequence
a(245,894) = 113,341
Square (n²)
12,846,182,281
Cube (n³)
1,455,999,145,910,821
Divisor count
2
σ(n) — sum of divisors
113,342
φ(n) — Euler's totient
113,340

Primality

113,341 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113341
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,341)
1 × 113341
First multiples
113,341 · 226,682 (double) · 340,023 · 453,364 · 566,705 · 680,046 · 793,387 · 906,728 · 1,020,069 · 1,133,410

Sums & aliquot sequence

As a sum of two squares: 171² + 290²
As consecutive integers: 56,670 + 56,671

Continued fraction of √n

√113,341 = [336; (1, 1, 1, 21, 18, 1, 1, 1, 11, 6, 1, 1, 2, 1, 1, 2, 6, 39, 2, 4, 1, 1, 3, 7, …)]

Representations

In words
one hundred thirteen thousand three hundred forty-one
Ordinal
113341st
Binary
11011101010111101
Octal
335275
Hexadecimal
0x1BABD
Base64
Abq9
One's complement
4,294,853,954 (32-bit)
Scientific notation
1.13341 × 10⁵
As a duration
113,341 s = 1 day, 7 hours, 29 minutes, 1 second
In other bases
ternary (3) 12202110211
quaternary (4) 123222331
quinary (5) 12111331
senary (6) 2232421
septenary (7) 651304
nonary (9) 182424
undecimal (11) 78178
duodecimal (12) 55711
tridecimal (13) 3c787
tetradecimal (14) 2d43b
pentadecimal (15) 238b1

As an angle

113,341° = 314 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριγτμαʹ
Mayan (base 20)
𝋮·𝋣·𝋧·𝋡
Chinese
一十一萬三千三百四十一
Chinese (financial)
壹拾壹萬參仟參佰肆拾壹
In other modern scripts
Eastern Arabic ١١٣٣٤١ Devanagari ११३३४१ Bengali ১১৩৩৪১ Tamil ௧௧௩௩௪௧ Thai ๑๑๓๓๔๑ Tibetan ༡༡༣༣༤༡ Khmer ១១៣៣៤១ Lao ໑໑໓໓໔໑ Burmese ၁၁၃၃၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01BABD
RGB(1, 186, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.189.

Address
0.1.186.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.189

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 113,341 and was likely granted around 1871.

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.