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113,329

113,329 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.).

113,329 (one hundred thirteen thousand three hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BAB1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
162
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
923,311
Recamán's sequence
a(245,918) = 113,329
Square (n²)
12,843,462,241
Cube (n³)
1,455,536,732,310,289
Divisor count
2
σ(n) — sum of divisors
113,330
φ(n) — Euler's totient
113,328

Primality

113,329 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113329
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,329)
1 × 113329
First multiples
113,329 · 226,658 (double) · 339,987 · 453,316 · 566,645 · 679,974 · 793,303 · 906,632 · 1,019,961 · 1,133,290

Sums & aliquot sequence

As a sum of two squares: 80² + 327²
As consecutive integers: 56,664 + 56,665

Continued fraction of √n

√113,329 = [336; (1, 1, 1, 4, 5, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 5, 4, 1, 1, 1, 672)]

Period length 21 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand three hundred twenty-nine
Ordinal
113329th
Binary
11011101010110001
Octal
335261
Hexadecimal
0x1BAB1
Base64
Abqx
One's complement
4,294,853,966 (32-bit)
Scientific notation
1.13329 × 10⁵
As a duration
113,329 s = 1 day, 7 hours, 28 minutes, 49 seconds
In other bases
ternary (3) 12202110101
quaternary (4) 123222301
quinary (5) 12111304
senary (6) 2232401
septenary (7) 651256
nonary (9) 182411
undecimal (11) 78167
duodecimal (12) 55701
tridecimal (13) 3c778
tetradecimal (14) 2d42d
pentadecimal (15) 238a4
Palindromic in base 16

As an angle

113,329° = 314 × 360° + 289°
289° ≈ 5.044 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγτκθʹ
Mayan (base 20)
𝋮·𝋣·𝋦·𝋩
Chinese
一十一萬三千三百二十九
Chinese (financial)
壹拾壹萬參仟參佰貳拾玖
In other modern scripts
Eastern Arabic ١١٣٣٢٩ Devanagari ११३३२९ Bengali ১১৩৩২৯ Tamil ௧௧௩௩௨௯ Thai ๑๑๓๓๒๙ Tibetan ༡༡༣༣༢༩ Khmer ១១៣៣២៩ Lao ໑໑໓໓໒໙ Burmese ၁၁၃၃၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 113327.

Hex color
#01BAB1
RGB(1, 186, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.177.

Address
0.1.186.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.177

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 113,329 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 113329 first appears in π at position 990,406 of the decimal expansion (the 990,406ordinal-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.