110,120
110,120 is a composite number, even.
110,120 (one hundred ten thousand one hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 2,753. Its proper divisors sum to 137,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AE28.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 5
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 21,011
- Recamán's sequence
- a(249,056) = 110,120
- Square (n²)
- 12,126,414,400
- Cube (n³)
- 1,335,360,753,728,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 247,860
- φ(n) — Euler's totient
- 44,032
- Sum of prime factors
- 2,764
Primality
Prime factorization: 2 3 × 5 × 2753
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√110,120 = [331; (1, 5, 2, 1, 1, 1, 1, 3, 3, 5, 21, 4, 1, 1, 7, 1, 5, 2, 165, 2, 5, 1, 7, 1, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- one hundred ten thousand one hundred twenty
- Ordinal
- 110120th
- Binary
- 11010111000101000
- Octal
- 327050
- Hexadecimal
- 0x1AE28
- Base64
- Aa4o
- One's complement
- 4,294,857,175 (32-bit)
- Scientific notation
- 1.1012 × 10⁵
- As a duration
- 110,120 s = 1 day, 6 hours, 35 minutes, 20 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓍢𓎆𓎆
- Greek (Milesian)
- ͵ριρκʹ
- Mayan (base 20)
- 𝋭·𝋯·𝋦·𝋠
- Chinese
- 一十一萬零一百二十
- Chinese (financial)
- 壹拾壹萬零壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110120, here are decompositions:
- 37 + 110083 = 110120
- 61 + 110059 = 110120
- 97 + 110023 = 110120
- 103 + 110017 = 110120
- 223 + 109897 = 110120
- 229 + 109891 = 110120
- 271 + 109849 = 110120
- 277 + 109843 = 110120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.40.
- Address
- 0.1.174.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.174.40
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 110,120 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 110120 first appears in π at position 903,462 of the decimal expansion (the 903,462ordinal-suffix:nd 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.