107,112
107,112 is a composite number, even.
107,112 (one hundred seven thousand one hundred twelve) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 4,463. Its proper divisors sum to 160,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A268.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 211,701
- Recamán's sequence
- a(82,279) = 107,112
- Square (n²)
- 11,472,980,544
- Cube (n³)
- 1,228,893,892,028,928
- Divisor count
- 16
- σ(n) — sum of divisors
- 267,840
- φ(n) — Euler's totient
- 35,696
- Sum of prime factors
- 4,472
Primality
Prime factorization: 2 3 × 3 × 4463
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,112 = [327; (3, 1, 1, 2, 1, 4, 1, 1, 3, 1, 3, 7, 5, 1, 3, 6, 2, 19, 2, 1, 2, 5, 28, 3, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand one hundred twelve
- Ordinal
- 107112th
- Binary
- 11010001001101000
- Octal
- 321150
- Hexadecimal
- 0x1A268
- Base64
- AaJo
- One's complement
- 4,294,860,183 (32-bit)
- Scientific notation
- 1.07112 × 10⁵
- As a duration
- 107,112 s = 1 day, 5 hours, 45 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρζριβʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋯·𝋬
- Chinese
- 十萬七千一百一十二
- Chinese (financial)
- 壹拾萬柒仟壹佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107112, here are decompositions:
- 11 + 107101 = 107112
- 13 + 107099 = 107112
- 23 + 107089 = 107112
- 41 + 107071 = 107112
- 43 + 107069 = 107112
- 59 + 107053 = 107112
- 79 + 107033 = 107112
- 149 + 106963 = 107112
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.104.
- Address
- 0.1.162.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.162.104
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 107,112 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 107112 first appears in π at position 875,665 of the decimal expansion (the 875,665ordinal-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°.