112,100
112,100 is a composite number, even.
112,100 (one hundred twelve thousand one hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 19 × 59. Its proper divisors sum to 148,300, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B5E4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 5
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 1,211
- Recamán's sequence
- a(247,100) = 112,100
- Square (n²)
- 12,566,410,000
- Cube (n³)
- 1,408,694,561,000,000
- Divisor count
- 36
- σ(n) — sum of divisors
- 260,400
- φ(n) — Euler's totient
- 41,760
- Sum of prime factors
- 92
Primality
Prime factorization: 2 2 × 5 2 × 19 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√112,100 = [334; (1, 4, 2, 1, 3, 1, 2, 1, 20, 1, 6, 2, 2, 8, 2, 2, 6, 1, 20, 1, 2, 1, 3, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twelve thousand one hundred
- Ordinal
- 112100th
- Binary
- 11011010111100100
- Octal
- 332744
- Hexadecimal
- 0x1B5E4
- Base64
- AbXk
- One's complement
- 4,294,855,195 (32-bit)
- Scientific notation
- 1.121 × 10⁵
- As a duration
- 112,100 s = 1 day, 7 hours, 8 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓍢
- Greek (Milesian)
- ͵ριβρʹ
- Mayan (base 20)
- 𝋮·𝋠·𝋥·𝋠
- Chinese
- 一十一萬二千一百
- Chinese (financial)
- 壹拾壹萬貳仟壹佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112100, here are decompositions:
- 3 + 112097 = 112100
- 13 + 112087 = 112100
- 31 + 112069 = 112100
- 103 + 111997 = 112100
- 127 + 111973 = 112100
- 151 + 111949 = 112100
- 181 + 111919 = 112100
- 229 + 111871 = 112100
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.228.
- Address
- 0.1.181.228
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.181.228
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 112,100 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 112100 first appears in π at position 723,569 of the decimal expansion (the 723,569ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.