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113,102

113,102 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.).

113,102 (one hundred thirteen thousand one hundred two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 11 × 53 × 97. Written other ways, in hexadecimal, 0x1B9CE.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
201,311
Recamán's sequence
a(53,259) = 113,102
Square (n²)
12,792,062,404
Cube (n³)
1,446,807,842,017,208
Divisor count
16
σ(n) — sum of divisors
190,512
φ(n) — Euler's totient
49,920
Sum of prime factors
163

Primality

Prime factorization: 2 × 11 × 53 × 97

Nearest primes: 113,093 (−9) · 113,111 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 11 · 22 · 53 · 97 · 106 · 194 · 583 · 1067 · 1166 · 2134 · 5141 · 10282 · 56551 (half) · 113102
Aliquot sum (sum of proper divisors): 77,410
Factor pairs (a × b = 113,102)
1 × 113102
2 × 56551
11 × 10282
22 × 5141
53 × 2134
97 × 1166
106 × 1067
194 × 583
First multiples
113,102 · 226,204 (double) · 339,306 · 452,408 · 565,510 · 678,612 · 791,714 · 904,816 · 1,017,918 · 1,131,020

Sums & aliquot sequence

As consecutive integers: 28,274 + 28,275 + 28,276 + 28,277 10,277 + 10,278 + … + 10,287 2,549 + 2,550 + … + 2,592 2,108 + 2,109 + … + 2,160
Aliquot sequence: 113,102 77,410 61,946 33,094 16,550 14,326 10,874 5,440 8,276 6,214 3,866 1,936 2,187 1,093 1 0 — terminates at zero

Continued fraction of √n

√113,102 = [336; (3, 3, 1, 3, 1, 5, 6, 5, 1, 3, 1, 3, 3, 672)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand one hundred two
Ordinal
113102nd
Binary
11011100111001110
Octal
334716
Hexadecimal
0x1B9CE
Base64
AbnO
One's complement
4,294,854,193 (32-bit)
Scientific notation
1.13102 × 10⁵
As a duration
113,102 s = 1 day, 7 hours, 25 minutes, 2 seconds
In other bases
ternary (3) 12202010222
quaternary (4) 123213032
quinary (5) 12104402
senary (6) 2231342
septenary (7) 650513
nonary (9) 182128
undecimal (11) 77a80
duodecimal (12) 55552
tridecimal (13) 3c632
tetradecimal (14) 2d30a
pentadecimal (15) 237a2

As an angle

113,102° = 314 × 360° + 62°
62° ≈ 1.082 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓏺𓏺
Greek (Milesian)
͵ριγρβʹ
Mayan (base 20)
𝋮·𝋢·𝋯·𝋢
Chinese
一十一萬三千一百零二
Chinese (financial)
壹拾壹萬參仟壹佰零貳
In other modern scripts
Eastern Arabic ١١٣١٠٢ Devanagari ११३१०२ Bengali ১১৩১০২ Tamil ௧௧௩௧௦௨ Thai ๑๑๓๑๐๒ Tibetan ༡༡༣༡༠༢ Khmer ១១៣១០២ Lao ໑໑໓໑໐໒ Burmese ၁၁၃၁၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113102, here are decompositions:

  • 13 + 113089 = 113102
  • 19 + 113083 = 113102
  • 61 + 113041 = 113102
  • 79 + 113023 = 113102
  • 151 + 112951 = 113102
  • 163 + 112939 = 113102
  • 181 + 112921 = 113102
  • 193 + 112909 = 113102

Showing the first eight; more decompositions exist.

Hex color
#01B9CE
RGB(1, 185, 206)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.206.

Address
0.1.185.206
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.206

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 113,102 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 113102 first appears in π at position 39,293 of the decimal expansion (the 39,293ordinal-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.