112,112
112,112 is a composite number, even.
112,112 (one hundred twelve thousand one hundred twelve) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 7² × 11 × 13. Its proper divisors sum to 184,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B5F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 8
- Digit product
- 4
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 211,211
- Recamán's sequence
- a(247,076) = 112,112
- Square (n²)
- 12,569,100,544
- Cube (n³)
- 1,409,147,000,188,928
- Divisor count
- 60
- σ(n) — sum of divisors
- 296,856
- φ(n) — Euler's totient
- 40,320
- Sum of prime factors
- 46
Primality
Prime factorization: 2 4 × 7 2 × 11 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√112,112 = [334; (1, 4, 1, 12, 1, 4, 1, 668)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twelve thousand one hundred twelve
- Ordinal
- 112112th
- Binary
- 11011010111110000
- Octal
- 332760
- Hexadecimal
- 0x1B5F0
- Base64
- AbXw
- One's complement
- 4,294,855,183 (32-bit)
- Scientific notation
- 1.12112 × 10⁵
- As a duration
- 112,112 s = 1 day, 7 hours, 8 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ριβριβʹ
- Mayan (base 20)
- 𝋮·𝋠·𝋥·𝋬
- Chinese
- 一十一萬二千一百一十二
- Chinese (financial)
- 壹拾壹萬貳仟壹佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112112, here are decompositions:
- 43 + 112069 = 112112
- 139 + 111973 = 112112
- 163 + 111949 = 112112
- 193 + 111919 = 112112
- 199 + 111913 = 112112
- 241 + 111871 = 112112
- 283 + 111829 = 112112
- 313 + 111799 = 112112
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.240.
- Address
- 0.1.181.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.181.240
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 112,112 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.