133,188
133,188 is a composite number, even.
133,188 (one hundred thirty-three thousand one hundred eighty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 11 × 1,009. Its proper divisors sum to 206,172, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20844.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 576
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 881,331
- Square (n²)
- 17,739,043,344
- Cube (n³)
- 2,362,627,704,900,672
- Divisor count
- 24
- σ(n) — sum of divisors
- 339,360
- φ(n) — Euler's totient
- 40,320
- Sum of prime factors
- 1,027
Primality
Prime factorization: 2 2 × 3 × 11 × 1009
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,188 = [364; (1, 18, 1, 2, 1, 2, 7, 4, 5, 2, 5, 1, 5, 11, 4, 3, 1, 1, 3, 1, 7, 1, 1, 1, …)]
Representations
- In words
- one hundred thirty-three thousand one hundred eighty-eight
- Ordinal
- 133188th
- Binary
- 100000100001000100
- Octal
- 404104
- Hexadecimal
- 0x20844
- Base64
- AghE
- One's complement
- 4,294,834,107 (32-bit)
- Scientific notation
- 1.33188 × 10⁵
- As a duration
- 133,188 s = 1 day, 12 hours, 59 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγρπηʹ
- Mayan (base 20)
- 𝋰·𝋬·𝋳·𝋨
- Chinese
- 一十三萬三千一百八十八
- Chinese (financial)
- 壹拾參萬參仟壹佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133188, here are decompositions:
- 5 + 133183 = 133188
- 19 + 133169 = 133188
- 31 + 133157 = 133188
- 67 + 133121 = 133188
- 71 + 133117 = 133188
- 79 + 133109 = 133188
- 101 + 133087 = 133188
- 137 + 133051 = 133188
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A1 84 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.68.
- Address
- 0.2.8.68
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.8.68
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 133,188 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 133188 first appears in π at position 475,202 of the decimal expansion (the 475,202ordinal-suffix:nd 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°.