131,648
131,648 is a composite number, even.
131,648 (one hundred thirty-one thousand six hundred forty-eight) is an even 6-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 11² × 17. Its proper divisors sum to 172,390, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20240.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 576
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 846,131
- Recamán's sequence
- a(229,076) = 131,648
- Square (n²)
- 17,331,195,904
- Cube (n³)
- 2,281,617,278,369,792
- Divisor count
- 42
- σ(n) — sum of divisors
- 304,038
- φ(n) — Euler's totient
- 56,320
- Sum of prime factors
- 51
Primality
Prime factorization: 2 6 × 11 2 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,648 = [362; (1, 4, 1, 724)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand six hundred forty-eight
- Ordinal
- 131648th
- Binary
- 100000001001000000
- Octal
- 401100
- Hexadecimal
- 0x20240
- Base64
- AgJA
- One's complement
- 4,294,835,647 (32-bit)
- Scientific notation
- 1.31648 × 10⁵
- As a duration
- 131,648 s = 1 day, 12 hours, 34 minutes, 8 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλαχμηʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋢·𝋨
- Chinese
- 一十三萬一千六百四十八
- Chinese (financial)
- 壹拾參萬壹仟陸佰肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131648, here are decompositions:
- 7 + 131641 = 131648
- 31 + 131617 = 131648
- 37 + 131611 = 131648
- 67 + 131581 = 131648
- 151 + 131497 = 131648
- 199 + 131449 = 131648
- 211 + 131437 = 131648
- 277 + 131371 = 131648
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 89 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.64.
- Address
- 0.2.2.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.2.64
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 131,648 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.