137,131
137,131 is a prime, odd.
137,131 (one hundred thirty-seven thousand one hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x217AB.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 63
- Digital root
- 7
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 131,731
- Square (n²)
- 18,804,911,161
- Cube (n³)
- 2,578,736,272,419,091
- Divisor count
- 2
- σ(n) — sum of divisors
- 137,132
- φ(n) — Euler's totient
- 137,130
Primality
137,131 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,131 = [370; (3, 4, 1, 7, 1, 1, 26, 1, 9, 22, 2, 1, 11, 11, 1, 6, 7, 2, 1, 34, 1, 1, 2, 2, …)]
Representations
- In words
- one hundred thirty-seven thousand one hundred thirty-one
- Ordinal
- 137131st
- Binary
- 100001011110101011
- Octal
- 413653
- Hexadecimal
- 0x217AB
- Base64
- Aher
- One's complement
- 4,294,830,164 (32-bit)
- Scientific notation
- 1.37131 × 10⁵
- As a duration
- 137,131 s = 1 day, 14 hours, 5 minutes, 31 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺
- Greek (Milesian)
- ͵ρλζρλαʹ
- Mayan (base 20)
- 𝋱·𝋢·𝋰·𝋫
- Chinese
- 一十三萬七千一百三十一
- Chinese (financial)
- 壹拾參萬柒仟壹佰參拾壹
Also seen as
UTF-8 encoding: F0 A1 9E AB (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.171.
- Address
- 0.2.23.171
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.23.171
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 137,131 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.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.