122,180
122,180 is a composite number, even.
122,180 (one hundred twenty-two thousand one hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 41 × 149. Its proper divisors sum to 142,420, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD44.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 81,221
- Square (n²)
- 14,927,952,400
- Cube (n³)
- 1,823,897,224,232,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 264,600
- φ(n) — Euler's totient
- 47,360
- Sum of prime factors
- 199
Primality
Prime factorization: 2 2 × 5 × 41 × 149
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,180 = [349; (1, 1, 5, 2, 1, 2, 22, 5, 1, 1, 2, 5, 2, 1, 1, 2, 174, 2, 1, 1, 2, 5, 2, 1, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand one hundred eighty
- Ordinal
- 122180th
- Binary
- 11101110101000100
- Octal
- 356504
- Hexadecimal
- 0x1DD44
- Base64
- Ad1E
- One's complement
- 4,294,845,115 (32-bit)
- Scientific notation
- 1.2218 × 10⁵
- As a duration
- 122,180 s = 1 day, 9 hours, 56 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκβρπʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋩·𝋠
- Chinese
- 一十二萬二千一百八十
- Chinese (financial)
- 壹拾貳萬貳仟壹佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122180, here are decompositions:
- 7 + 122173 = 122180
- 13 + 122167 = 122180
- 31 + 122149 = 122180
- 127 + 122053 = 122180
- 139 + 122041 = 122180
- 151 + 122029 = 122180
- 229 + 121951 = 122180
- 271 + 121909 = 122180
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.68.
- Address
- 0.1.221.68
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.221.68
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 122,180 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 122180 first appears in π at position 64,967 of the decimal expansion (the 64,967ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.