131,820
131,820 is a composite number, even.
131,820 (one hundred thirty-one thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 13³. Its proper divisors sum to 268,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x202EC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 28,131
- Recamán's sequence
- a(228,732) = 131,820
- Square (n²)
- 17,376,512,400
- Cube (n³)
- 2,290,571,864,568,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 399,840
- φ(n) — Euler's totient
- 32,448
- Sum of prime factors
- 51
Primality
Prime factorization: 2 2 × 3 × 5 × 13 3
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,820 = [363; (14, 4, 4, 2, 3, 1, 1, 1, 1, 3, 1, 2, 5, 5, 2, 3, 1, 5, 3, 1, 1, 1, 2, 3, …)]
Representations
- In words
- one hundred thirty-one thousand eight hundred twenty
- Ordinal
- 131820th
- Binary
- 100000001011101100
- Octal
- 401354
- Hexadecimal
- 0x202EC
- Base64
- AgLs
- One's complement
- 4,294,835,475 (32-bit)
- Scientific notation
- 1.3182 × 10⁵
- As a duration
- 131,820 s = 1 day, 12 hours, 37 minutes
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλαωκʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋫·𝋠
- Chinese
- 一十三萬一千八百二十
- Chinese (financial)
- 壹拾參萬壹仟捌佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131820, here are decompositions:
- 23 + 131797 = 131820
- 37 + 131783 = 131820
- 41 + 131779 = 131820
- 43 + 131777 = 131820
- 61 + 131759 = 131820
- 71 + 131749 = 131820
- 89 + 131731 = 131820
- 107 + 131713 = 131820
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 8B AC (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.236.
- Address
- 0.2.2.236
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.2.236
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 131,820 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.