113,021
113,021 is a prime, odd.
113,021 (one hundred thirteen thousand twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B97D.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 120,311
- Square (n²)
- 12,773,746,441
- Cube (n³)
- 1,443,701,596,508,261
- Divisor count
- 2
- σ(n) — sum of divisors
- 113,022
- φ(n) — Euler's totient
- 113,020
Primality
113,021 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,021 = [336; (5, 2, 1, 1, 1, 5, 1, 1, 1, 9, 1, 2, 3, 1, 1, 3, 2, 1, 9, 1, 1, 1, 5, 1, …)]
Period length 29 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand twenty-one
- Ordinal
- 113021st
- Binary
- 11011100101111101
- Octal
- 334575
- Hexadecimal
- 0x1B97D
- Base64
- Abl9
- One's complement
- 4,294,854,274 (32-bit)
- Scientific notation
- 1.13021 × 10⁵
- As a duration
- 113,021 s = 1 day, 7 hours, 23 minutes, 41 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓏺
- Greek (Milesian)
- ͵ριγκαʹ
- Mayan (base 20)
- 𝋮·𝋢·𝋫·𝋡
- Chinese
- 一十一萬三千零二十一
- Chinese (financial)
- 壹拾壹萬參仟零貳拾壹
Also seen as
As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.125.
- Address
- 0.1.185.125
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.185.125
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 113,021 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 113021 first appears in π at position 105,219 of the decimal expansion (the 105,219ordinal-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
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.