113,100
113,100 is a composite number, even.
113,100 (one hundred thirteen thousand one hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5² × 13 × 29. Its proper divisors sum to 251,460, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B9CC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 6
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 1,311
- Recamán's sequence
- a(53,255) = 113,100
- Square (n²)
- 12,791,610,000
- Cube (n³)
- 1,446,731,091,000,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 364,560
- φ(n) — Euler's totient
- 26,880
- Sum of prime factors
- 59
Primality
Prime factorization: 2 2 × 3 × 5 2 × 13 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,100 = [336; (3, 3, 2, 1, 1, 1, 1, 2, 1, 4, 2, 26, 2, 4, 1, 2, 1, 1, 1, 1, 2, 3, 3, 672)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand one hundred
- Ordinal
- 113100th
- Binary
- 11011100111001100
- Octal
- 334714
- Hexadecimal
- 0x1B9CC
- Base64
- AbnM
- One's complement
- 4,294,854,195 (32-bit)
- Scientific notation
- 1.131 × 10⁵
- As a duration
- 113,100 s = 1 day, 7 hours, 25 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢
- Greek (Milesian)
- ͵ριγρʹ
- Mayan (base 20)
- 𝋮·𝋢·𝋯·𝋠
- Chinese
- 一十一萬三千一百
- Chinese (financial)
- 壹拾壹萬參仟壹佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113100, here are decompositions:
- 7 + 113093 = 113100
- 11 + 113089 = 113100
- 17 + 113083 = 113100
- 19 + 113081 = 113100
- 37 + 113063 = 113100
- 59 + 113041 = 113100
- 61 + 113039 = 113100
- 73 + 113027 = 113100
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.204.
- Address
- 0.1.185.204
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.185.204
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 113,100 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.