137,201
137,201 is a prime, odd.
137,201 (one hundred thirty-seven thousand two hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x217F1.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 102,731
- Square (n²)
- 18,824,114,401
- Cube (n³)
- 2,582,687,319,931,601
- Divisor count
- 2
- σ(n) — sum of divisors
- 137,202
- φ(n) — Euler's totient
- 137,200
Primality
137,201 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,201 = [370; (2, 2, 5, 1, 2, 1, 1, 1, 1, 20, 1, 1, 4, 11, 5, 1, 2, 3, 6, 3, 6, 7, 1, 56, …)]
Representations
- In words
- one hundred thirty-seven thousand two hundred one
- Ordinal
- 137201st
- Binary
- 100001011111110001
- Octal
- 413761
- Hexadecimal
- 0x217F1
- Base64
- Ahfx
- One's complement
- 4,294,830,094 (32-bit)
- Scientific notation
- 1.37201 × 10⁵
- As a duration
- 137,201 s = 1 day, 14 hours, 6 minutes, 41 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺
- Greek (Milesian)
- ͵ρλζσαʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋠·𝋡
- Chinese
- 一十三萬七千二百零一
- Chinese (financial)
- 壹拾參萬柒仟貳佰零壹
Also seen as
UTF-8 encoding: F0 A1 9F B1 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.241.
- Address
- 0.2.23.241
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.23.241
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 137,201 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.