131,328
131,328 is a composite number, even.
131,328 (one hundred thirty-one thousand three hundred twenty-eight) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 3³ × 19. Its proper divisors sum to 277,472, more than the number itself, making it an abundant number. It is the 512th triangular number. Written other ways, in hexadecimal, 0x20100.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 144
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 823,131
- Square (n²)
- 17,247,043,584
- Cube (n³)
- 2,265,019,739,799,552
- Divisor count
- 72
- σ(n) — sum of divisors
- 408,800
- φ(n) — Euler's totient
- 41,472
- Sum of prime factors
- 44
Primality
Prime factorization: 2 8 × 3 3 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,328 = [362; (2, 1, 1, 4, 2, 3, 4, 19, 1, 8, 1, 44, 2, 1, 1, 79, 1, 13, 1, 4, 10, 181, 10, 4, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand three hundred twenty-eight
- Ordinal
- 131328th
- Binary
- 100000000100000000
- Octal
- 400400
- Hexadecimal
- 0x20100
- Base64
- AgEA
- One's complement
- 4,294,835,967 (32-bit)
- Scientific notation
- 1.31328 × 10⁵
- As a duration
- 131,328 s = 1 day, 12 hours, 28 minutes, 48 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλατκηʹ
- Mayan (base 20)
- 𝋰·𝋨·𝋦·𝋨
- Chinese
- 一十三萬一千三百二十八
- Chinese (financial)
- 壹拾參萬壹仟參佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131328, here are decompositions:
- 7 + 131321 = 131328
- 11 + 131317 = 131328
- 17 + 131311 = 131328
- 31 + 131297 = 131328
- 61 + 131267 = 131328
- 79 + 131249 = 131328
- 97 + 131231 = 131328
- 107 + 131221 = 131328
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 84 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.0.
- Address
- 0.2.1.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.1.0
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 131,328 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
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.