122,136
122,136 is a composite number, even.
122,136 (one hundred twenty-two thousand one hundred thirty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 7 × 727. Its proper divisors sum to 227,304, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD18.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 72
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 631,221
- Square (n²)
- 14,917,202,496
- Cube (n³)
- 1,821,927,444,051,456
- Divisor count
- 32
- σ(n) — sum of divisors
- 349,440
- φ(n) — Euler's totient
- 34,848
- Sum of prime factors
- 743
Primality
Prime factorization: 2 3 × 3 × 7 × 727
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,136 = [349; (2, 11, 1, 3, 4, 1, 1, 1, 2, 1, 1, 1, 1, 5, 4, 1, 2, 2, 3, 1, 34, 5, 1, 2, …)]
Representations
- In words
- one hundred twenty-two thousand one hundred thirty-six
- Ordinal
- 122136th
- Binary
- 11101110100011000
- Octal
- 356430
- Hexadecimal
- 0x1DD18
- Base64
- Ad0Y
- One's complement
- 4,294,845,159 (32-bit)
- Scientific notation
- 1.22136 × 10⁵
- As a duration
- 122,136 s = 1 day, 9 hours, 55 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκβρλϛʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋦·𝋰
- Chinese
- 一十二萬二千一百三十六
- Chinese (financial)
- 壹拾貳萬貳仟壹佰參拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122136, here are decompositions:
- 5 + 122131 = 122136
- 19 + 122117 = 122136
- 37 + 122099 = 122136
- 67 + 122069 = 122136
- 83 + 122053 = 122136
- 97 + 122039 = 122136
- 103 + 122033 = 122136
- 107 + 122029 = 122136
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.24.
- Address
- 0.1.221.24
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.221.24
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 122,136 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 122136 first appears in π at position 667,031 of the decimal expansion (the 667,031ordinal-suffix:st 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.