131,516
131,516 is a composite number, even.
131,516 (one hundred thirty-one thousand five hundred sixteen) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 7² × 11 × 61. Its proper divisors sum to 165,340, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x201BC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 90
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 615,131
- Recamán's sequence
- a(229,340) = 131,516
- Square (n²)
- 17,296,458,256
- Cube (n³)
- 2,274,761,003,996,096
- Divisor count
- 36
- σ(n) — sum of divisors
- 296,856
- φ(n) — Euler's totient
- 50,400
- Sum of prime factors
- 90
Primality
Prime factorization: 2 2 × 7 2 × 11 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,516 = [362; (1, 1, 1, 6, 1, 1, 2, 2, 1, 1, 3, 3, 2, 2, 1, 2, 3, 1, 37, 2, 2, 14, 2, 2, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand five hundred sixteen
- Ordinal
- 131516th
- Binary
- 100000000110111100
- Octal
- 400674
- Hexadecimal
- 0x201BC
- Base64
- AgG8
- One's complement
- 4,294,835,779 (32-bit)
- Scientific notation
- 1.31516 × 10⁵
- As a duration
- 131,516 s = 1 day, 12 hours, 31 minutes, 56 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλαφιϛʹ
- Mayan (base 20)
- 𝋰·𝋨·𝋯·𝋰
- Chinese
- 一十三萬一千五百一十六
- Chinese (financial)
- 壹拾參萬壹仟伍佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131516, here are decompositions:
- 19 + 131497 = 131516
- 37 + 131479 = 131516
- 67 + 131449 = 131516
- 79 + 131437 = 131516
- 103 + 131413 = 131516
- 199 + 131317 = 131516
- 223 + 131293 = 131516
- 313 + 131203 = 131516
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 86 BC (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.188.
- Address
- 0.2.1.188
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.1.188
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 131,516 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.