133,213
133,213 is a prime, odd.
133,213 (one hundred thirty-three thousand two hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2085D.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 13
- Digit product
- 54
- Digital root
- 4
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 312,331
- Square (n²)
- 17,745,703,369
- Cube (n³)
- 2,363,958,382,894,597
- Divisor count
- 2
- σ(n) — sum of divisors
- 133,214
- φ(n) — Euler's totient
- 133,212
Primality
133,213 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,213 = [364; (1, 59, 1, 4, 1, 19, 2, 3, 1, 26, 3, 1, 6, 2, 9, 1, 1, 6, 1, 5, 1, 1, 2, 5, …)]
Representations
- In words
- one hundred thirty-three thousand two hundred thirteen
- Ordinal
- 133213th
- Binary
- 100000100001011101
- Octal
- 404135
- Hexadecimal
- 0x2085D
- Base64
- Aghd
- One's complement
- 4,294,834,082 (32-bit)
- Scientific notation
- 1.33213 × 10⁵
- As a duration
- 133,213 s = 1 day, 13 hours, 13 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγσιγʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋠·𝋭
- Chinese
- 一十三萬三千二百一十三
- Chinese (financial)
- 壹拾參萬參仟貳佰壹拾參
Also seen as
UTF-8 encoding: F0 A0 A1 9D (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.93.
- Address
- 0.2.8.93
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.8.93
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 133,213 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 133213 first appears in π at position 662,874 of the decimal expansion (the 662,874ordinal-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.