131,384
131,384 is a composite number, even.
131,384 (one hundred thirty-one thousand three hundred eighty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 11 × 1,493. Its proper divisors sum to 137,536, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20138.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 288
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 483,131
- Square (n²)
- 17,261,755,456
- Cube (n³)
- 2,267,918,478,831,104
- Divisor count
- 16
- σ(n) — sum of divisors
- 268,920
- φ(n) — Euler's totient
- 59,680
- Sum of prime factors
- 1,510
Primality
Prime factorization: 2 3 × 11 × 1493
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,384 = [362; (2, 7, 1, 1, 1, 4, 1, 1, 1, 3, 3, 1, 1, 1, 102, 1, 12, 5, 3, 1, 17, 2, 1, 3, …)]
Representations
- In words
- one hundred thirty-one thousand three hundred eighty-four
- Ordinal
- 131384th
- Binary
- 100000000100111000
- Octal
- 400470
- Hexadecimal
- 0x20138
- Base64
- AgE4
- One's complement
- 4,294,835,911 (32-bit)
- Scientific notation
- 1.31384 × 10⁵
- As a duration
- 131,384 s = 1 day, 12 hours, 29 minutes, 44 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλατπδʹ
- Mayan (base 20)
- 𝋰·𝋨·𝋩·𝋤
- Chinese
- 一十三萬一千三百八十四
- Chinese (financial)
- 壹拾參萬壹仟參佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131384, here are decompositions:
- 3 + 131381 = 131384
- 13 + 131371 = 131384
- 67 + 131317 = 131384
- 73 + 131311 = 131384
- 163 + 131221 = 131384
- 181 + 131203 = 131384
- 241 + 131143 = 131384
- 271 + 131113 = 131384
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 84 B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.56.
- Address
- 0.2.1.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.1.56
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 131,384 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 131384 first appears in π at position 371,834 of the decimal expansion (the 371,834ordinal-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.