113,088
113,088 is a composite number, even.
113,088 (one hundred thirteen thousand eighty-eight) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 19 × 31. Its proper divisors sum to 212,032, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B9C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 880,311
- Recamán's sequence
- a(53,231) = 113,088
- Square (n²)
- 12,788,895,744
- Cube (n³)
- 1,446,270,641,897,472
- Divisor count
- 56
- σ(n) — sum of divisors
- 325,120
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 65
Primality
Prime factorization: 2 6 × 3 × 19 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,088 = [336; (3, 1, 1, 167, 1, 1, 3, 672)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand eighty-eight
- Ordinal
- 113088th
- Binary
- 11011100111000000
- Octal
- 334700
- Hexadecimal
- 0x1B9C0
- Base64
- AbnA
- One's complement
- 4,294,854,207 (32-bit)
- Scientific notation
- 1.13088 × 10⁵
- As a duration
- 113,088 s = 1 day, 7 hours, 24 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριγπηʹ
- Mayan (base 20)
- 𝋮·𝋢·𝋮·𝋨
- Chinese
- 一十一萬三千零八十八
- Chinese (financial)
- 壹拾壹萬參仟零捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113088, here are decompositions:
- 5 + 113083 = 113088
- 7 + 113081 = 113088
- 37 + 113051 = 113088
- 47 + 113041 = 113088
- 61 + 113027 = 113088
- 67 + 113021 = 113088
- 71 + 113017 = 113088
- 109 + 112979 = 113088
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.192.
- Address
- 0.1.185.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.185.192
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 113,088 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 113088 first appears in π at position 632,734 of the decimal expansion (the 632,734ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.