157,013
157,013 is a prime, odd.
157,013 (one hundred fifty-seven thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x26555.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 310,751
- Recamán's sequence
- a(203,838) = 157,013
- Square (n²)
- 24,653,082,169
- Cube (n³)
- 3,870,854,390,601,197
- Divisor count
- 2
- σ(n) — sum of divisors
- 157,014
- φ(n) — Euler's totient
- 157,012
Primality
157,013 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√157,013 = [396; (4, 46, 2, 1, 2, 1, 1, 2, 1, 2, 46, 4, 792)]
Period length 13 — the block in parentheses repeats forever.
Representations
- In words
- one hundred fifty-seven thousand thirteen
- Ordinal
- 157013th
- Binary
- 100110010101010101
- Octal
- 462525
- Hexadecimal
- 0x26555
- Base64
- AmVV
- One's complement
- 4,294,810,282 (32-bit)
- Scientific notation
- 1.57013 × 10⁵
- As a duration
- 157,013 s = 1 day, 19 hours, 36 minutes, 53 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρνζιγʹ
- Mayan (base 20)
- 𝋳·𝋬·𝋪·𝋭
- Chinese
- 一十五萬七千零一十三
- Chinese (financial)
- 壹拾伍萬柒仟零壹拾參
Also seen as
UTF-8 encoding: F0 A6 95 95 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.101.85.
- Address
- 0.2.101.85
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.101.85
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 157,013 and was likely granted around 1873.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 157013 first appears in π at position 523,120 of the decimal expansion (the 523,120ordinal-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.