133,813
133,813 is a prime, odd.
133,813 (one hundred thirty-three thousand eight hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20AB5.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 216
- Digital root
- 1
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 318,331
- Square (n²)
- 17,905,918,969
- Cube (n³)
- 2,396,044,734,998,797
- Divisor count
- 2
- σ(n) — sum of divisors
- 133,814
- φ(n) — Euler's totient
- 133,812
Primality
133,813 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,813 = [365; (1, 4, 8, 1, 1, 25, 1, 1, 1, 1, 243, 3, 1, 2, 1, 2, 5, 1, 7, 1, 6, 1, 1, 80, …)]
Representations
- In words
- one hundred thirty-three thousand eight hundred thirteen
- Ordinal
- 133813th
- Binary
- 100000101010110101
- Octal
- 405265
- Hexadecimal
- 0x20AB5
- Base64
- Agq1
- One's complement
- 4,294,833,482 (32-bit)
- Scientific notation
- 1.33813 × 10⁵
- As a duration
- 133,813 s = 1 day, 13 hours, 10 minutes, 13 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγωιγʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋪·𝋭
- Chinese
- 一十三萬三千八百一十三
- Chinese (financial)
- 壹拾參萬參仟捌佰壹拾參
Also seen as
UTF-8 encoding: F0 A0 AA B5 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.181.
- Address
- 0.2.10.181
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.10.181
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 133,813 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 133813 first appears in π at position 935,287 of the decimal expansion (the 935,287ordinal-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
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.