133,210
133,210 is a composite number, even.
133,210 (one hundred thirty-three thousand two hundred ten) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 7 × 11 × 173. Its proper divisors sum to 167,462, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2085A.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 12,331
- Square (n²)
- 17,744,904,100
- Cube (n³)
- 2,363,798,675,161,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 300,672
- φ(n) — Euler's totient
- 41,280
- Sum of prime factors
- 198
Primality
Prime factorization: 2 × 5 × 7 × 11 × 173
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,210 = [364; (1, 47, 1, 1, 1, 80, 2, 3, 1, 4, 1, 1, 1, 2, 3, 8, 1, 2, 1, 1, 12, 1, 16, 1, …)]
Period length 58 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand two hundred ten
- Ordinal
- 133210th
- Binary
- 100000100001011010
- Octal
- 404132
- Hexadecimal
- 0x2085A
- Base64
- Agha
- One's complement
- 4,294,834,085 (32-bit)
- Scientific notation
- 1.3321 × 10⁵
- As a duration
- 133,210 s = 1 day, 13 hours, 10 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆
- Greek (Milesian)
- ͵ρλγσιʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋠·𝋪
- Chinese
- 一十三萬三千二百一十
- Chinese (financial)
- 壹拾參萬參仟貳佰壹拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133210, here are decompositions:
- 23 + 133187 = 133210
- 41 + 133169 = 133210
- 53 + 133157 = 133210
- 89 + 133121 = 133210
- 101 + 133109 = 133210
- 107 + 133103 = 133210
- 113 + 133097 = 133210
- 137 + 133073 = 133210
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A1 9A (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.90.
- Address
- 0.2.8.90
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.8.90
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 133,210 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 133210 first appears in π at position 784,673 of the decimal expansion (the 784,673ordinal-suffix:rd 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.