131,920
131,920 is a composite number, even.
131,920 (one hundred thirty-one thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 17 × 97. Its proper divisors sum to 196,184, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20350.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 29,131
- Recamán's sequence
- a(228,532) = 131,920
- Square (n²)
- 17,402,886,400
- Cube (n³)
- 2,295,788,773,888,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 328,104
- φ(n) — Euler's totient
- 49,152
- Sum of prime factors
- 127
Primality
Prime factorization: 2 4 × 5 × 17 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,920 = [363; (4, 1, 4, 4, 11, 8, 1, 7, 3, 1, 2, 10, 1, 79, 1, 4, 45, 4, 1, 79, 1, 10, 2, 1, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand nine hundred twenty
- Ordinal
- 131920th
- Binary
- 100000001101010000
- Octal
- 401520
- Hexadecimal
- 0x20350
- Base64
- AgNQ
- One's complement
- 4,294,835,375 (32-bit)
- Scientific notation
- 1.3192 × 10⁵
- As a duration
- 131,920 s = 1 day, 12 hours, 38 minutes, 40 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλαϡκʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋰·𝋠
- Chinese
- 一十三萬一千九百二十
- Chinese (financial)
- 壹拾參萬壹仟玖佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131920, here are decompositions:
- 11 + 131909 = 131920
- 29 + 131891 = 131920
- 59 + 131861 = 131920
- 71 + 131849 = 131920
- 83 + 131837 = 131920
- 137 + 131783 = 131920
- 149 + 131771 = 131920
- 233 + 131687 = 131920
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 8D 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.80.
- Address
- 0.2.3.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.3.80
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 131,920 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 131920 first appears in π at position 710,493 of the decimal expansion (the 710,493ordinal-suffix:rd 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.