131,970
131,970 is a composite number, even.
131,970 (one hundred thirty-one thousand nine hundred seventy) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 53 × 83. Its proper divisors sum to 194,622, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20382.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 79,131
- Recamán's sequence
- a(228,432) = 131,970
- Square (n²)
- 17,416,080,900
- Cube (n³)
- 2,298,400,196,373,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 326,592
- φ(n) — Euler's totient
- 34,112
- Sum of prime factors
- 146
Primality
Prime factorization: 2 × 3 × 5 × 53 × 83
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,970 = [363; (3, 1, 1, 1, 1, 2, 2, 2, 10, 1, 1, 2, 7, 1, 3, 3, 2, 1, 1, 5, 2, 2, 2, 5, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand nine hundred seventy
- Ordinal
- 131970th
- Binary
- 100000001110000010
- Octal
- 401602
- Hexadecimal
- 0x20382
- Base64
- AgOC
- One's complement
- 4,294,835,325 (32-bit)
- Scientific notation
- 1.3197 × 10⁵
- As a duration
- 131,970 s = 1 day, 12 hours, 39 minutes, 30 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλαϡοʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋲·𝋪
- Chinese
- 一十三萬一千九百七十
- Chinese (financial)
- 壹拾參萬壹仟玖佰柒拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131970, here are decompositions:
- 11 + 131959 = 131970
- 23 + 131947 = 131970
- 29 + 131941 = 131970
- 31 + 131939 = 131970
- 37 + 131933 = 131970
- 43 + 131927 = 131970
- 61 + 131909 = 131970
- 71 + 131899 = 131970
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 8E 82 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.130.
- Address
- 0.2.3.130
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.3.130
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 131,970 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 131970 first appears in π at position 780,319 of the decimal expansion (the 780,319ordinal-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°.