122,320
122,320 is a composite number, even.
122,320 (one hundred twenty-two thousand three hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 11 × 139. Its proper divisors sum to 190,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DDD0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 23,221
- Square (n²)
- 14,962,182,400
- Cube (n³)
- 1,830,174,151,168,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 312,480
- φ(n) — Euler's totient
- 44,160
- Sum of prime factors
- 163
Primality
Prime factorization: 2 4 × 5 × 11 × 139
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,320 = [349; (1, 2, 1, 7, 1, 7, 1, 2, 1, 698)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand three hundred twenty
- Ordinal
- 122320th
- Binary
- 11101110111010000
- Octal
- 356720
- Hexadecimal
- 0x1DDD0
- Base64
- Ad3Q
- One's complement
- 4,294,844,975 (32-bit)
- Scientific notation
- 1.2232 × 10⁵
- As a duration
- 122,320 s = 1 day, 9 hours, 58 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρκβτκʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋰·𝋠
- Chinese
- 一十二萬二千三百二十
- Chinese (financial)
- 壹拾貳萬貳仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122320, here are decompositions:
- 41 + 122279 = 122320
- 47 + 122273 = 122320
- 53 + 122267 = 122320
- 89 + 122231 = 122320
- 101 + 122219 = 122320
- 113 + 122207 = 122320
- 173 + 122147 = 122320
- 239 + 122081 = 122320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.208.
- Address
- 0.1.221.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.221.208
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 122,320 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 122320 first appears in π at position 794,138 of the decimal expansion (the 794,138ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.