131,071
131,071 is a prime, odd.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 13
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 170,131
- Square (n²)
- 17,179,607,041
- Cube (n³)
- 2,251,748,274,470,911
- Divisor count
- 2
- σ(n) — sum of divisors
- 131,072
- φ(n) — Euler's totient
- 131,070
Primality
131,071 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,071 = [362; (26, 1, 4, 2, 3, 1, 2, 2, 2, 2, 2, 2, 7, 1, 9, 1, 12, 1, 1, 361, 1, 1, 12, 1, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand seventy-one
- Ordinal
- 131071st
- Binary
- 11111111111111111
- Octal
- 377777
- Hexadecimal
- 0x1FFFF
- Base64
- Af//
- One's complement
- 4,294,836,224 (32-bit)
- Scientific notation
- 1.31071 × 10⁵
- As a duration
- 131,071 s = 1 day, 12 hours, 24 minutes, 31 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
- Greek (Milesian)
- ͵ρλαοαʹ
- Mayan (base 20)
- 𝋰·𝋧·𝋭·𝋫
- Chinese
- 一十三萬一千零七十一
- Chinese (financial)
- 壹拾參萬壹仟零柒拾壹
Also seen as
As an unsigned 32-bit integer, this is the IPv4 address 0.1.255.255.
- Address
- 0.1.255.255
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.255.255
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 131,071 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 131071 first appears in π at position 932,448 of the decimal expansion (the 932,448ordinal-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.