113,516
113,516 is a composite number, even.
113,516 (one hundred thirteen thousand five hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 13 × 37 × 59. Written other ways, in hexadecimal, 0x1BB6C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 90
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 615,311
- Recamán's sequence
- a(53,791) = 113,516
- Square (n²)
- 12,885,882,256
- Cube (n³)
- 1,462,753,810,172,096
- Divisor count
- 24
- σ(n) — sum of divisors
- 223,440
- φ(n) — Euler's totient
- 50,112
- Sum of prime factors
- 113
Primality
Prime factorization: 2 2 × 13 × 37 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,516 = [336; (1, 11, 1, 2, 1, 1, 16, 3, 1, 1, 1, 26, 3, 6, 2, 2, 3, 1, 16, 13, 1, 2, 4, 168, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand five hundred sixteen
- Ordinal
- 113516th
- Binary
- 11011101101101100
- Octal
- 335554
- Hexadecimal
- 0x1BB6C
- Base64
- Abts
- One's complement
- 4,294,853,779 (32-bit)
- Scientific notation
- 1.13516 × 10⁵
- As a duration
- 113,516 s = 1 day, 7 hours, 31 minutes, 56 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριγφιϛʹ
- Mayan (base 20)
- 𝋮·𝋣·𝋯·𝋰
- Chinese
- 一十一萬三千五百一十六
- Chinese (financial)
- 壹拾壹萬參仟伍佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113516, here are decompositions:
- 3 + 113513 = 113516
- 19 + 113497 = 113516
- 79 + 113437 = 113516
- 157 + 113359 = 113516
- 229 + 113287 = 113516
- 283 + 113233 = 113516
- 307 + 113209 = 113516
- 349 + 113167 = 113516
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.108.
- Address
- 0.1.187.108
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.187.108
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 113,516 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 113516 first appears in π at position 419,477 of the decimal expansion (the 419,477ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.