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113,188

113,188 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.).

113,188 (one hundred thirteen thousand one hundred eighty-eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 28,297. Written other ways, in hexadecimal, 0x1BA24.

Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
192
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
881,311
Recamán's sequence
a(246,200) = 113,188
Square (n²)
12,811,523,344
Cube (n³)
1,450,110,704,260,672
Divisor count
6
σ(n) — sum of divisors
198,086
φ(n) — Euler's totient
56,592
Sum of prime factors
28,301

Primality

Prime factorization: 2 2 × 28297

Nearest primes: 113,177 (−11) · 113,189 (+1)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 28297 · 56594 (half) · 113188
Aliquot sum (sum of proper divisors): 84,898
Factor pairs (a × b = 113,188)
1 × 113188
2 × 56594
4 × 28297
First multiples
113,188 · 226,376 (double) · 339,564 · 452,752 · 565,940 · 679,128 · 792,316 · 905,504 · 1,018,692 · 1,131,880

Sums & aliquot sequence

As a sum of two squares: 198² + 272²
As consecutive integers: 14,145 + 14,146 + … + 14,152
Aliquot sequence: 113,188 84,898 62,846 46,522 33,254 20,506 10,256 9,646 8,498 6,094 3,914 2,326 1,166 778 392 463 1 — unresolved within range

Continued fraction of √n

√113,188 = [336; (2, 3, 3, 3, 4, 1, 223, 2, 10, 1, 9, 1, 1, 1, 1, 74, 6, 3, 1, 1, 1, 2, 1, 6, …)]

Representations

In words
one hundred thirteen thousand one hundred eighty-eight
Ordinal
113188th
Binary
11011101000100100
Octal
335044
Hexadecimal
0x1BA24
Base64
Abok
One's complement
4,294,854,107 (32-bit)
Scientific notation
1.13188 × 10⁵
As a duration
113,188 s = 1 day, 7 hours, 26 minutes, 28 seconds
In other bases
ternary (3) 12202021011
quaternary (4) 123220210
quinary (5) 12110223
senary (6) 2232004
septenary (7) 650665
nonary (9) 182234
undecimal (11) 78049
duodecimal (12) 55604
tridecimal (13) 3c69a
tetradecimal (14) 2d36c
pentadecimal (15) 2380d

As an angle

113,188° = 314 × 360° + 148°
148° ≈ 2.583 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγρπηʹ
Mayan (base 20)
𝋮·𝋢·𝋳·𝋨
Chinese
一十一萬三千一百八十八
Chinese (financial)
壹拾壹萬參仟壹佰捌拾捌
In other modern scripts
Eastern Arabic ١١٣١٨٨ Devanagari ११३१८८ Bengali ১১৩১৮৮ Tamil ௧௧௩௧௮௮ Thai ๑๑๓๑๘๘ Tibetan ༡༡༣༡༨༨ Khmer ១១៣១៨៨ Lao ໑໑໓໑໘໘ Burmese ၁၁၃၁၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113188, here are decompositions:

  • 11 + 113177 = 113188
  • 17 + 113171 = 113188
  • 29 + 113159 = 113188
  • 41 + 113147 = 113188
  • 71 + 113117 = 113188
  • 107 + 113081 = 113188
  • 137 + 113051 = 113188
  • 149 + 113039 = 113188

Showing the first eight; more decompositions exist.

Hex color
#01BA24
RGB(1, 186, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.36.

Address
0.1.186.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.36

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 113,188 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 113188 first appears in π at position 689,597 of the decimal expansion (the 689,597ordinal-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