133,500
133,500 is a composite number, even.
133,500 (one hundred thirty-three thousand five hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5³ × 89. Its proper divisors sum to 259,620, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2097C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 5,331
- Square (n²)
- 17,822,250,000
- Cube (n³)
- 2,379,270,375,000,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 393,120
- φ(n) — Euler's totient
- 35,200
- Sum of prime factors
- 111
Primality
Prime factorization: 2 2 × 3 × 5 3 × 89
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,500 = [365; (2, 1, 1, 1, 9, 1, 2, 182, 2, 1, 9, 1, 1, 1, 2, 730)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand five hundred
- Ordinal
- 133500th
- Binary
- 100000100101111100
- Octal
- 404574
- Hexadecimal
- 0x2097C
- Base64
- Agl8
- One's complement
- 4,294,833,795 (32-bit)
- Scientific notation
- 1.335 × 10⁵
- As a duration
- 133,500 s = 1 day, 13 hours, 5 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρλγφʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋯·𝋠
- Chinese
- 一十三萬三千五百
- Chinese (financial)
- 壹拾參萬參仟伍佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133500, here are decompositions:
- 7 + 133493 = 133500
- 19 + 133481 = 133500
- 53 + 133447 = 133500
- 61 + 133439 = 133500
- 83 + 133417 = 133500
- 97 + 133403 = 133500
- 109 + 133391 = 133500
- 113 + 133387 = 133500
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A5 BC (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.124.
- Address
- 0.2.9.124
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.9.124
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 133,500 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 133500 first appears in π at position 516,769 of the decimal expansion (the 516,769ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.