110,112
110,112 is a composite number, even.
110,112 (one hundred ten thousand one hundred twelve) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 31 × 37. Its proper divisors sum to 196,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AE20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 6
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 211,011
- Recamán's sequence
- a(249,072) = 110,112
- Square (n²)
- 12,124,652,544
- Cube (n³)
- 1,335,069,740,924,928
- Divisor count
- 48
- σ(n) — sum of divisors
- 306,432
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 81
Primality
Prime factorization: 2 5 × 3 × 31 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√110,112 = [331; (1, 4, 1, 12, 1, 2, 2, 5, 2, 165, 2, 5, 2, 2, 1, 12, 1, 4, 1, 662)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred ten thousand one hundred twelve
- Ordinal
- 110112th
- Binary
- 11010111000100000
- Octal
- 327040
- Hexadecimal
- 0x1AE20
- Base64
- Aa4g
- One's complement
- 4,294,857,183 (32-bit)
- Scientific notation
- 1.10112 × 10⁵
- As a duration
- 110,112 s = 1 day, 6 hours, 35 minutes, 12 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ριριβʹ
- Mayan (base 20)
- 𝋭·𝋯·𝋥·𝋬
- Chinese
- 一十一萬零一百一十二
- Chinese (financial)
- 壹拾壹萬零壹佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110112, here are decompositions:
- 29 + 110083 = 110112
- 43 + 110069 = 110112
- 53 + 110059 = 110112
- 61 + 110051 = 110112
- 73 + 110039 = 110112
- 89 + 110023 = 110112
- 151 + 109961 = 110112
- 193 + 109919 = 110112
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.32.
- Address
- 0.1.174.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.174.32
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 110,112 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°.