133,200
133,200 is a composite number, even.
133,200 (one hundred thirty-three thousand two hundred) is an even 6-digit number. It is a composite number with 90 divisors, and factors as 2⁴ × 3² × 5² × 37. Its proper divisors sum to 341,534, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20850.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 2,331
- Square (n²)
- 17,742,240,000
- Cube (n³)
- 2,363,266,368,000,000
- Divisor count
- 90
- σ(n) — sum of divisors
- 474,734
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 61
Primality
Prime factorization: 2 4 × 3 2 × 5 2 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,200 = [364; (1, 28, 5, 28, 1, 728)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand two hundred
- Ordinal
- 133200th
- Binary
- 100000100001010000
- Octal
- 404120
- Hexadecimal
- 0x20850
- Base64
- AghQ
- One's complement
- 4,294,834,095 (32-bit)
- Scientific notation
- 1.332 × 10⁵
- As a duration
- 133,200 s = 1 day, 13 hours
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢
- Greek (Milesian)
- ͵ρλγσʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋠·𝋠
- Chinese
- 一十三萬三千二百
- Chinese (financial)
- 壹拾參萬參仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133200, here are decompositions:
- 13 + 133187 = 133200
- 17 + 133183 = 133200
- 31 + 133169 = 133200
- 43 + 133157 = 133200
- 47 + 133153 = 133200
- 79 + 133121 = 133200
- 83 + 133117 = 133200
- 97 + 133103 = 133200
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A1 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.80.
- Address
- 0.2.8.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.8.80
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 133,200 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.