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113,138

113,138 is a composite number, even.

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.).

113,138 (one hundred thirteen thousand one hundred thirty-eight) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 56,569. Written other ways, in hexadecimal, 0x1B9F2.

Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
72
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
831,311
Recamán's sequence
a(246,300) = 113,138
Square (n²)
12,800,207,044
Cube (n³)
1,448,189,824,544,072
Divisor count
4
σ(n) — sum of divisors
169,710
φ(n) — Euler's totient
56,568
Sum of prime factors
56,571

Primality

Prime factorization: 2 × 56569

Nearest primes: 113,131 (−7) · 113,143 (+5)

Divisors & multiples

All divisors (4)
1 · 2 · 56569 (half) · 113138
Aliquot sum (sum of proper divisors): 56,572
Factor pairs (a × b = 113,138)
1 × 113138
2 × 56569
First multiples
113,138 · 226,276 (double) · 339,414 · 452,552 · 565,690 · 678,828 · 791,966 · 905,104 · 1,018,242 · 1,131,380

Sums & aliquot sequence

As a sum of two squares: 217² + 257²
As consecutive integers: 28,283 + 28,284 + 28,285 + 28,286
Aliquot sequence: 113,138 56,572 42,436 32,555 8,917 279 137 1 0 — terminates at zero

Continued fraction of √n

√113,138 = [336; (2, 1, 3, 1, 1, 21, 7, 9, 13, 1, 1, 1, 1, 1, 2, 3, 1, 3, 1, 13, 1, 5, 47, 1, …)]

Period length 59 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand one hundred thirty-eight
Ordinal
113138th
Binary
11011100111110010
Octal
334762
Hexadecimal
0x1B9F2
Base64
Abny
One's complement
4,294,854,157 (32-bit)
Scientific notation
1.13138 × 10⁵
As a duration
113,138 s = 1 day, 7 hours, 25 minutes, 38 seconds
In other bases
ternary (3) 12202012022
quaternary (4) 123213302
quinary (5) 12110023
senary (6) 2231442
septenary (7) 650564
nonary (9) 182168
undecimal (11) 78003
duodecimal (12) 55582
tridecimal (13) 3c65c
tetradecimal (14) 2d334
pentadecimal (15) 237c8

As an angle

113,138° = 314 × 360° + 98°
98° ≈ 1.71 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγρληʹ
Mayan (base 20)
𝋮·𝋢·𝋰·𝋲
Chinese
一十一萬三千一百三十八
Chinese (financial)
壹拾壹萬參仟壹佰參拾捌
In other modern scripts
Eastern Arabic ١١٣١٣٨ Devanagari ११३१३८ Bengali ১১৩১৩৮ Tamil ௧௧௩௧௩௮ Thai ๑๑๓๑๓๘ Tibetan ༡༡༣༡༣༨ Khmer ១១៣១៣៨ Lao ໑໑໓໑໓໘ Burmese ၁၁၃၁၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113138, here are decompositions:

  • 7 + 113131 = 113138
  • 97 + 113041 = 113138
  • 127 + 113011 = 113138
  • 199 + 112939 = 113138
  • 211 + 112927 = 113138
  • 229 + 112909 = 113138
  • 307 + 112831 = 113138
  • 331 + 112807 = 113138

Showing the first eight; more decompositions exist.

Hex color
#01B9F2
RGB(1, 185, 242)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.242.

Address
0.1.185.242
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.242

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 113,138 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 113138 first appears in π at position 823,703 of the decimal expansion (the 823,703ordinal-suffix:rd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.