131,072
131,072 is a composite number, even.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 270,131
- Square (n²)
- 17,179,869,184
- Cube (n³)
- 2,251,799,813,685,248
- Divisor count
- 18
- σ(n) — sum of divisors
- 262,143
- φ(n) — Euler's totient
- 65,536
- Sum of prime factors
- 34
Primality
Prime factorization: 2 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,072 = [362; (25, 1, 6, 14, 1, 1, 1, 2, 1, 2, 9, 1, 4, 1, 14, 1, 1, 2, 1, 4, 1, 1, 3, 11, …)]
Representations
- In words
- one hundred thirty-one thousand seventy-two
- Ordinal
- 131072nd
- Binary
- 100000000000000000
- Octal
- 400000
- Hexadecimal
- 0x20000
- Base64
- AgAA
- One's complement
- 4,294,836,223 (32-bit)
- Scientific notation
- 1.31072 × 10⁵
- As a duration
- 131,072 s = 1 day, 12 hours, 24 minutes, 32 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλαοβʹ
- Mayan (base 20)
- 𝋰·𝋧·𝋭·𝋬
- Chinese
- 一十三萬一千零七十二
- Chinese (financial)
- 壹拾參萬壹仟零柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131072, here are decompositions:
- 13 + 131059 = 131072
- 31 + 131041 = 131072
- 61 + 131011 = 131072
- 103 + 130969 = 131072
- 199 + 130873 = 131072
- 229 + 130843 = 131072
- 373 + 130699 = 131072
- 379 + 130693 = 131072
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 80 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.0.
- Address
- 0.2.0.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.0.0
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 131,072 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 131072 first appears in π at position 820,238 of the decimal expansion (the 820,238ordinal-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.