131,720
131,720 is a composite number, even.
131,720 (one hundred thirty-one thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 37 × 89. Its proper divisors sum to 176,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20288.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 27,131
- Recamán's sequence
- a(228,932) = 131,720
- Square (n²)
- 17,350,158,400
- Cube (n³)
- 2,285,362,864,448,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 307,800
- φ(n) — Euler's totient
- 50,688
- Sum of prime factors
- 137
Primality
Prime factorization: 2 3 × 5 × 37 × 89
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,720 = [362; (1, 13, 1, 4, 2, 2, 9, 1, 4, 2, 3, 4, 181, 4, 3, 2, 4, 1, 9, 2, 2, 4, 1, 13, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand seven hundred twenty
- Ordinal
- 131720th
- Binary
- 100000001010001000
- Octal
- 401210
- Hexadecimal
- 0x20288
- Base64
- AgKI
- One's complement
- 4,294,835,575 (32-bit)
- Scientific notation
- 1.3172 × 10⁵
- As a duration
- 131,720 s = 1 day, 12 hours, 35 minutes, 20 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλαψκʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋦·𝋠
- Chinese
- 一十三萬一千七百二十
- Chinese (financial)
- 壹拾參萬壹仟柒佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131720, here are decompositions:
- 7 + 131713 = 131720
- 13 + 131707 = 131720
- 19 + 131701 = 131720
- 79 + 131641 = 131720
- 103 + 131617 = 131720
- 109 + 131611 = 131720
- 139 + 131581 = 131720
- 223 + 131497 = 131720
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 8A 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.136.
- Address
- 0.2.2.136
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.2.136
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 131,720 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 131720 first appears in π at position 173,211 of the decimal expansion (the 173,211ordinal-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.