131,312
131,312 is a composite number, even.
131,312 (one hundred thirty-one thousand three hundred twelve) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 29 × 283. Its proper divisors sum to 132,808, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x200F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 18
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 213,131
- Square (n²)
- 17,242,841,344
- Cube (n³)
- 2,264,191,982,563,328
- Divisor count
- 20
- σ(n) — sum of divisors
- 264,120
- φ(n) — Euler's totient
- 63,168
- Sum of prime factors
- 320
Primality
Prime factorization: 2 4 × 29 × 283
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,312 = [362; (2, 1, 2, 2, 1, 2, 1, 3, 1, 1, 3, 1, 3, 1, 1, 3, 1, 2, 1, 2, 2, 1, 2, 724)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand three hundred twelve
- Ordinal
- 131312th
- Binary
- 100000000011110000
- Octal
- 400360
- Hexadecimal
- 0x200F0
- Base64
- AgDw
- One's complement
- 4,294,835,983 (32-bit)
- Scientific notation
- 1.31312 × 10⁵
- As a duration
- 131,312 s = 1 day, 12 hours, 28 minutes, 32 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλατιβʹ
- Mayan (base 20)
- 𝋰·𝋨·𝋥·𝋬
- Chinese
- 一十三萬一千三百一十二
- Chinese (financial)
- 壹拾參萬壹仟參佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131312, here are decompositions:
- 19 + 131293 = 131312
- 61 + 131251 = 131312
- 109 + 131203 = 131312
- 163 + 131149 = 131312
- 199 + 131113 = 131312
- 211 + 131101 = 131312
- 241 + 131071 = 131312
- 271 + 131041 = 131312
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 83 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.240.
- Address
- 0.2.0.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.0.240
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 131,312 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 131312 first appears in π at position 675,274 of the decimal expansion (the 675,274ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.