10,133
10,133 is a prime, odd.
10,133 (ten thousand one hundred thirty-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2795.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 5
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 33,101
- Recamán's sequence
- a(5,525) = 10,133
- Square (n²)
- 102,677,689
- Cube (n³)
- 1,040,433,022,637
- Divisor count
- 2
- σ(n) — sum of divisors
- 10,134
- φ(n) — Euler's totient
- 10,132
Primality
10,133 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√10,133 = [100; (1, 1, 1, 28, 10, 1, 1, 3, 1, 1, 2, 2, 3, 1, 6, 2, 2, 2, 49, 1, 10, 1, 6, 3, …)]
Period length 57 — the block in parentheses repeats forever.
Representations
- In words
- ten thousand one hundred thirty-three
- Ordinal
- 10133rd
- Binary
- 10011110010101
- Octal
- 23625
- Hexadecimal
- 0x2795
- Base64
- J5U=
- One's complement
- 55,402 (16-bit)
- Scientific notation
- 1.0133 × 10⁴
- As a duration
- 10,133 s = 2 hours, 48 minutes, 53 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓍢𓎆𓎆𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιρλγʹ
- Mayan (base 20)
- 𝋡·𝋥·𝋦·𝋭
- Chinese
- 一萬零一百三十三
- Chinese (financial)
- 壹萬零壹佰參拾參
Digit at this position in famous constants
- π — Pi (π)
- Digit 10,133 = 9
- e — Euler's number (e)
- Digit 10,133 = 6
- φ — Golden ratio (φ)
- Digit 10,133 = 5
- √2 — Pythagoras's (√2)
- Digit 10,133 = 2
- ln 2 — Natural log of 2
- Digit 10,133 = 3
- γ — Euler-Mascheroni (γ)
- Digit 10,133 = 6
Also seen as
UTF-8 encoding: E2 9E 95 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.149.
- Address
- 0.0.39.149
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.39.149
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 10,133 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +30¢)
- Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -32¢)
- Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +32¢)
The digit sequence 10133 first appears in π at position 17,382 of the decimal expansion (the 17,382ordinal-suffix:nd 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.
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.