131,520
131,520 is a composite number, even.
131,520 (one hundred thirty-one thousand five hundred twenty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 5 × 137. Its proper divisors sum to 289,104, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x201C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 25,131
- Recamán's sequence
- a(229,332) = 131,520
- Square (n²)
- 17,297,510,400
- Cube (n³)
- 2,274,968,567,808,000
- Divisor count
- 56
- σ(n) — sum of divisors
- 420,624
- φ(n) — Euler's totient
- 34,816
- Sum of prime factors
- 157
Primality
Prime factorization: 2 6 × 3 × 5 × 137
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,520 = [362; (1, 1, 1, 10, 1, 1, 1, 724)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand five hundred twenty
- Ordinal
- 131520th
- Binary
- 100000000111000000
- Octal
- 400700
- Hexadecimal
- 0x201C0
- Base64
- AgHA
- One's complement
- 4,294,835,775 (32-bit)
- Scientific notation
- 1.3152 × 10⁵
- As a duration
- 131,520 s = 1 day, 12 hours, 32 minutes
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλαφκʹ
- Mayan (base 20)
- 𝋰·𝋨·𝋰·𝋠
- Chinese
- 一十三萬一千五百二十
- Chinese (financial)
- 壹拾參萬壹仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131520, here are decompositions:
- 13 + 131507 = 131520
- 19 + 131501 = 131520
- 23 + 131497 = 131520
- 31 + 131489 = 131520
- 41 + 131479 = 131520
- 43 + 131477 = 131520
- 71 + 131449 = 131520
- 73 + 131447 = 131520
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 87 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.192.
- Address
- 0.2.1.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.1.192
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 131,520 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 131520 first appears in π at position 980,857 of the decimal expansion (the 980,857ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.