130,130
130,130 is a composite number, even.
130,130 (one hundred thirty thousand one hundred thirty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 5 × 7 × 11 × 13². Its proper divisors sum to 186,094, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FC52.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 31,031
- Square (n²)
- 16,933,816,900
- Cube (n³)
- 2,203,597,593,197,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 316,224
- φ(n) — Euler's totient
- 37,440
- Sum of prime factors
- 51
Primality
Prime factorization: 2 × 5 × 7 × 11 × 13 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√130,130 = [360; (1, 2, 1, 3, 1, 1, 12, 1, 1, 3, 1, 2, 1, 720)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty thousand one hundred thirty
- Ordinal
- 130130th
- Binary
- 11111110001010010
- Octal
- 376122
- Hexadecimal
- 0x1FC52
- Base64
- AfxS
- One's complement
- 4,294,837,165 (32-bit)
- Scientific notation
- 1.3013 × 10⁵
- As a duration
- 130,130 s = 1 day, 12 hours, 8 minutes, 50 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓍢𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλρλʹ
- Mayan (base 20)
- 𝋰·𝋥·𝋦·𝋪
- Chinese
- 一十三萬零一百三十
- Chinese (financial)
- 壹拾參萬零壹佰參拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130130, here are decompositions:
- 3 + 130127 = 130130
- 31 + 130099 = 130130
- 43 + 130087 = 130130
- 61 + 130069 = 130130
- 73 + 130057 = 130130
- 79 + 130051 = 130130
- 103 + 130027 = 130130
- 109 + 130021 = 130130
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.252.82.
- Address
- 0.1.252.82
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.252.82
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 130,130 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 130130 first appears in π at position 398,441 of the decimal expansion (the 398,441ordinal-suffix:st 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.