122,033
122,033 is a prime, odd.
122,033 (one hundred twenty-two thousand thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DCB1.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 330,221
- Square (n²)
- 14,892,053,089
- Cube (n³)
- 1,817,321,914,609,937
- Divisor count
- 2
- σ(n) — sum of divisors
- 122,034
- φ(n) — Euler's totient
- 122,032
Primality
122,033 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,033 = [349; (3, 99, 2, 9, 1, 13, 2, 1, 4, 1, 3, 1, 1, 1, 2, 11, 2, 6, 3, 3, 2, 12, 24, 87, …)]
Representations
- In words
- one hundred twenty-two thousand thirty-three
- Ordinal
- 122033rd
- Binary
- 11101110010110001
- Octal
- 356261
- Hexadecimal
- 0x1DCB1
- Base64
- Adyx
- One's complement
- 4,294,845,262 (32-bit)
- Scientific notation
- 1.22033 × 10⁵
- As a duration
- 122,033 s = 1 day, 9 hours, 53 minutes, 53 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκβλγʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋡·𝋭
- Chinese
- 一十二萬二千零三十三
- Chinese (financial)
- 壹拾貳萬貳仟零參拾參
Also seen as
As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.177.
- Address
- 0.1.220.177
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.220.177
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 122,033 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 122033 first appears in π at position 83,104 of the decimal expansion (the 83,104ordinal-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.
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.