133,320
133,320 is a composite number, even.
133,320 (one hundred thirty-three thousand three hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 11 × 101. Its proper divisors sum to 307,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208C8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 23,331
- Recamán's sequence
- a(35,300) = 133,320
- Square (n²)
- 17,774,222,400
- Cube (n³)
- 2,369,659,330,368,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 440,640
- φ(n) — Euler's totient
- 32,000
- Sum of prime factors
- 126
Primality
Prime factorization: 2 3 × 3 × 5 × 11 × 101
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,320 = [365; (7, 1, 2, 5, 1, 1, 5, 1, 1, 5, 2, 1, 7, 730)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand three hundred twenty
- Ordinal
- 133320th
- Binary
- 100000100011001000
- Octal
- 404310
- Hexadecimal
- 0x208C8
- Base64
- AgjI
- One's complement
- 4,294,833,975 (32-bit)
- Scientific notation
- 1.3332 × 10⁵
- As a duration
- 133,320 s = 1 day, 13 hours, 2 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλγτκʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋦·𝋠
- Chinese
- 一十三萬三千三百二十
- Chinese (financial)
- 壹拾參萬參仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133320, here are decompositions:
- 17 + 133303 = 133320
- 37 + 133283 = 133320
- 41 + 133279 = 133320
- 43 + 133277 = 133320
- 59 + 133261 = 133320
- 67 + 133253 = 133320
- 79 + 133241 = 133320
- 107 + 133213 = 133320
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A3 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.200.
- Address
- 0.2.8.200
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.8.200
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 133,320 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°.