113,120
113,120 is a composite number, even.
113,120 (one hundred thirteen thousand one hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 7 × 101. Its proper divisors sum to 195,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B9E0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 21,311
- Recamán's sequence
- a(246,336) = 113,120
- Square (n²)
- 12,796,134,400
- Cube (n³)
- 1,447,498,723,328,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 308,448
- φ(n) — Euler's totient
- 38,400
- Sum of prime factors
- 123
Primality
Prime factorization: 2 5 × 5 × 7 × 101
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,120 = [336; (3, 672)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand one hundred twenty
- Ordinal
- 113120th
- Binary
- 11011100111100000
- Octal
- 334740
- Hexadecimal
- 0x1B9E0
- Base64
- Abng
- One's complement
- 4,294,854,175 (32-bit)
- Scientific notation
- 1.1312 × 10⁵
- As a duration
- 113,120 s = 1 day, 7 hours, 25 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ριγρκʹ
- Mayan (base 20)
- 𝋮·𝋢·𝋰·𝋠
- Chinese
- 一十一萬三千一百二十
- Chinese (financial)
- 壹拾壹萬參仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113120, here are decompositions:
- 3 + 113117 = 113120
- 31 + 113089 = 113120
- 37 + 113083 = 113120
- 79 + 113041 = 113120
- 97 + 113023 = 113120
- 103 + 113017 = 113120
- 109 + 113011 = 113120
- 181 + 112939 = 113120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.224.
- Address
- 0.1.185.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.185.224
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 113,120 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 113120 first appears in π at position 430,583 of the decimal expansion (the 430,583ordinal-suffix:rd 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.