131,340
131,340 is a composite number, even.
131,340 (one hundred thirty-one thousand three hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 11 × 199. Its proper divisors sum to 271,860, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2010C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 43,131
- Square (n²)
- 17,250,195,600
- Cube (n³)
- 2,265,640,690,104,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 403,200
- φ(n) — Euler's totient
- 31,680
- Sum of prime factors
- 222
Primality
Prime factorization: 2 2 × 3 × 5 × 11 × 199
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,340 = [362; (2, 2, 4, 4, 16, 4, 4, 2, 2, 724)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand three hundred forty
- Ordinal
- 131340th
- Binary
- 100000000100001100
- Octal
- 400414
- Hexadecimal
- 0x2010C
- Base64
- AgEM
- One's complement
- 4,294,835,955 (32-bit)
- Scientific notation
- 1.3134 × 10⁵
- As a duration
- 131,340 s = 1 day, 12 hours, 29 minutes
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλατμʹ
- Mayan (base 20)
- 𝋰·𝋨·𝋧·𝋠
- Chinese
- 一十三萬一千三百四十
- Chinese (financial)
- 壹拾參萬壹仟參佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131340, here are decompositions:
- 19 + 131321 = 131340
- 23 + 131317 = 131340
- 29 + 131311 = 131340
- 37 + 131303 = 131340
- 43 + 131297 = 131340
- 47 + 131293 = 131340
- 73 + 131267 = 131340
- 89 + 131251 = 131340
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 84 8C (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.12.
- Address
- 0.2.1.12
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.1.12
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 131,340 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 131340 first appears in π at position 633,959 of the decimal expansion (the 633,959ordinal-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°.