111,112
111,112 is a composite number, even.
111,112 (one hundred eleven thousand one hundred twelve) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 17 × 19 × 43. Its proper divisors sum to 126,488, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B208.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 7
- Digit product
- 2
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 211,111
- Recamán's sequence
- a(248,184) = 111,112
- Square (n²)
- 12,345,876,544
- Cube (n³)
- 1,371,775,034,556,928
- Divisor count
- 32
- σ(n) — sum of divisors
- 237,600
- φ(n) — Euler's totient
- 48,384
- Sum of prime factors
- 85
Primality
Prime factorization: 2 3 × 17 × 19 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√111,112 = [333; (2, 1, 82, 1, 2, 666)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- one hundred eleven thousand one hundred twelve
- Ordinal
- 111112th
- Binary
- 11011001000001000
- Octal
- 331010
- Hexadecimal
- 0x1B208
- Base64
- AbII
- One's complement
- 4,294,856,183 (32-bit)
- Scientific notation
- 1.11112 × 10⁵
- As a duration
- 111,112 s = 1 day, 6 hours, 51 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ριαριβʹ
- Mayan (base 20)
- 𝋭·𝋱·𝋯·𝋬
- Chinese
- 一十一萬一千一百一十二
- Chinese (financial)
- 壹拾壹萬壹仟壹佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 111112, here are decompositions:
- 3 + 111109 = 111112
- 59 + 111053 = 111112
- 83 + 111029 = 111112
- 173 + 110939 = 111112
- 179 + 110933 = 111112
- 191 + 110921 = 111112
- 233 + 110879 = 111112
- 263 + 110849 = 111112
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9B 88 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.178.8.
- Address
- 0.1.178.8
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.178.8
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 111,112 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 111112 first appears in π at position 378,301 of the decimal expansion (the 378,301ordinal-suffix:st 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.