131,880
131,880 is a composite number, even.
131,880 (one hundred thirty-one thousand eight hundred eighty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 7 × 157. Its proper divisors sum to 323,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20328.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 88,131
- Recamán's sequence
- a(228,612) = 131,880
- Square (n²)
- 17,392,334,400
- Cube (n³)
- 2,293,701,060,672,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 455,040
- φ(n) — Euler's totient
- 29,952
- Sum of prime factors
- 178
Primality
Prime factorization: 2 3 × 3 × 5 × 7 × 157
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,880 = [363; (6, 1, 1, 5, 2, 6, 2, 5, 1, 1, 6, 726)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand eight hundred eighty
- Ordinal
- 131880th
- Binary
- 100000001100101000
- Octal
- 401450
- Hexadecimal
- 0x20328
- Base64
- AgMo
- One's complement
- 4,294,835,415 (32-bit)
- Scientific notation
- 1.3188 × 10⁵
- As a duration
- 131,880 s = 1 day, 12 hours, 38 minutes
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλαωπʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋮·𝋠
- Chinese
- 一十三萬一千八百八十
- Chinese (financial)
- 壹拾參萬壹仟捌佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131880, here are decompositions:
- 19 + 131861 = 131880
- 31 + 131849 = 131880
- 41 + 131839 = 131880
- 43 + 131837 = 131880
- 83 + 131797 = 131880
- 97 + 131783 = 131880
- 101 + 131779 = 131880
- 103 + 131777 = 131880
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 8C A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.40.
- Address
- 0.2.3.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.3.40
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 131,880 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 131880 first appears in π at position 744,866 of the decimal expansion (the 744,866ordinal-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°.