128,321
128,321 is a prime, odd.
128,321 (one hundred twenty-eight thousand three hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1F541.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 96
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 123,821
- Recamán's sequence
- a(32,926) = 128,321
- Square (n²)
- 16,466,279,041
- Cube (n³)
- 2,112,969,392,820,161
- Divisor count
- 2
- σ(n) — sum of divisors
- 128,322
- φ(n) — Euler's totient
- 128,320
Primality
128,321 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√128,321 = [358; (4, 1, 1, 3, 1, 1, 6, 89, 2, 2, 16, 3, 1, 4, 1, 43, 1, 19, 2, 30, 1, 1, 1, 21, …)]
Representations
- In words
- one hundred twenty-eight thousand three hundred twenty-one
- Ordinal
- 128321st
- Binary
- 11111010101000001
- Octal
- 372501
- Hexadecimal
- 0x1F541
- Base64
- AfVB
- One's complement
- 4,294,838,974 (32-bit)
- Scientific notation
- 1.28321 × 10⁵
- As a duration
- 128,321 s = 1 day, 11 hours, 38 minutes, 41 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺
- Greek (Milesian)
- ͵ρκητκαʹ
- Mayan (base 20)
- 𝋰·𝋠·𝋰·𝋡
- Chinese
- 一十二萬八千三百二十一
- Chinese (financial)
- 壹拾貳萬捌仟參佰貳拾壹
Also seen as
UTF-8 encoding: F0 9F 95 81 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.245.65.
- Address
- 0.1.245.65
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.245.65
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 128,321 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 128321 first appears in π at position 508,150 of the decimal expansion (the 508,150ordinal-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.