13,112
13,112 is a composite number, even.
13,112 (thirteen thousand one hundred twelve) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 11 × 149. Its proper divisors sum to 13,888, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3338.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 8
- Digit product
- 6
- Digital root
- 8
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 21,131
- Recamán's sequence
- a(48,051) = 13,112
- Square (n²)
- 171,924,544
- Cube (n³)
- 2,254,274,620,928
- Divisor count
- 16
- σ(n) — sum of divisors
- 27,000
- φ(n) — Euler's totient
- 5,920
- Sum of prime factors
- 166
Primality
Prime factorization: 2 3 × 11 × 149
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,112 = [114; (1, 1, 32, 4, 1, 1, 1, 4, 32, 1, 1, 228)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand one hundred twelve
- Ordinal
- 13112th
- Binary
- 11001100111000
- Octal
- 31470
- Hexadecimal
- 0x3338
- Base64
- Mzg=
- One's complement
- 52,423 (16-bit)
- Scientific notation
- 1.3112 × 10⁴
- As a duration
- 13,112 s = 3 hours, 38 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ιγριβʹ
- Mayan (base 20)
- 𝋡·𝋬·𝋯·𝋬
- Chinese
- 一萬三千一百一十二
- Chinese (financial)
- 壹萬參仟壹佰壹拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,112 = 7
- e — Euler's number (e)
- Digit 13,112 = 7
- φ — Golden ratio (φ)
- Digit 13,112 = 2
- √2 — Pythagoras's (√2)
- Digit 13,112 = 6
- ln 2 — Natural log of 2
- Digit 13,112 = 4
- γ — Euler-Mascheroni (γ)
- Digit 13,112 = 3
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13112, here are decompositions:
- 3 + 13109 = 13112
- 13 + 13099 = 13112
- 19 + 13093 = 13112
- 79 + 13033 = 13112
- 103 + 13009 = 13112
- 109 + 13003 = 13112
- 139 + 12973 = 13112
- 193 + 12919 = 13112
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 8C B8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.56.
- Address
- 0.0.51.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.51.56
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,112 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -23¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +14¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -22¢)
The digit sequence 13112 first appears in π at position 237,572 of the decimal expansion (the 237,572ordinal-suffix:nd 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.