131,381
131,381 is a prime, odd.
131,381 (one hundred thirty-one thousand three hundred eighty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20135.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 72
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 183,131
- Square (n²)
- 17,260,967,161
- Cube (n³)
- 2,267,763,126,579,341
- Divisor count
- 2
- σ(n) — sum of divisors
- 131,382
- φ(n) — Euler's totient
- 131,380
Primality
131,381 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,381 = [362; (2, 6, 1, 2, 9, 1, 1, 2, 1, 1, 3, 1, 2, 2, 2, 3, 144, 1, 2, 3, 1, 7, 2, 1, …)]
Representations
- In words
- one hundred thirty-one thousand three hundred eighty-one
- Ordinal
- 131381st
- Binary
- 100000000100110101
- Octal
- 400465
- Hexadecimal
- 0x20135
- Base64
- AgE1
- One's complement
- 4,294,835,914 (32-bit)
- Scientific notation
- 1.31381 × 10⁵
- As a duration
- 131,381 s = 1 day, 12 hours, 29 minutes, 41 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
- Greek (Milesian)
- ͵ρλατπαʹ
- Mayan (base 20)
- 𝋰·𝋨·𝋩·𝋡
- Chinese
- 一十三萬一千三百八十一
- Chinese (financial)
- 壹拾參萬壹仟參佰捌拾壹
Also seen as
UTF-8 encoding: F0 A0 84 B5 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.53.
- Address
- 0.2.1.53
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.1.53
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 131,381 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
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.