135,135
135,135 is a composite number, odd.
135,135 (one hundred thirty-five thousand one hundred thirty-five) is an odd 6-digit number. It is a composite number with 64 divisors, and factors as 3³ × 5 × 7 × 11 × 13. Its proper divisors sum to 187,425, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20FDF.
Interestingness
Properties
Primality
Prime factorization: 3 3 × 5 × 7 × 11 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,135 = [367; (1, 1, 1, 1, 5, 81, 1, 1, 20, 1, 1, 81, 5, 1, 1, 1, 1, 734)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand one hundred thirty-five
- Ordinal
- 135135th
- Binary
- 100000111111011111
- Octal
- 407737
- Hexadecimal
- 0x20FDF
- Base64
- Ag/f
- One's complement
- 4,294,832,160 (32-bit)
- Scientific notation
- 1.35135 × 10⁵
- As a duration
- 135,135 s = 1 day, 13 hours, 32 minutes, 15 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλερλεʹ
- Mayan (base 20)
- 𝋰·𝋱·𝋰·𝋯
- Chinese
- 一十三萬五千一百三十五
- Chinese (financial)
- 壹拾參萬伍仟壹佰參拾伍
Also seen as
UTF-8 encoding: F0 A0 BF 9F (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.223.
- Address
- 0.2.15.223
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.15.223
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 135,135 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 135135 first appears in π at position 279,307 of the decimal expansion (the 279,307ordinal-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°.