133,020
133,020 is a composite number, even.
133,020 (one hundred thirty-three thousand twenty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 5 × 739. Its proper divisors sum to 271,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2079C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 20,331
- Square (n²)
- 17,694,320,400
- Cube (n³)
- 2,353,698,499,608,000
- Divisor count
- 36
- σ(n) — sum of divisors
- 404,040
- φ(n) — Euler's totient
- 35,424
- Sum of prime factors
- 754
Primality
Prime factorization: 2 2 × 3 2 × 5 × 739
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,020 = [364; (1, 2, 1, 1, 3, 1, 2, 3, 1, 2, 3, 1, 9, 1, 1, 80, 1, 1, 9, 1, 3, 2, 1, 3, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand twenty
- Ordinal
- 133020th
- Binary
- 100000011110011100
- Octal
- 403634
- Hexadecimal
- 0x2079C
- Base64
- Agec
- One's complement
- 4,294,834,275 (32-bit)
- Scientific notation
- 1.3302 × 10⁵
- As a duration
- 133,020 s = 1 day, 12 hours, 57 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆
- Greek (Milesian)
- ͵ρλγκʹ
- Mayan (base 20)
- 𝋰·𝋬·𝋫·𝋠
- Chinese
- 一十三萬三千零二十
- Chinese (financial)
- 壹拾參萬參仟零貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133020, here are decompositions:
- 7 + 133013 = 133020
- 31 + 132989 = 133020
- 53 + 132967 = 133020
- 59 + 132961 = 133020
- 67 + 132953 = 133020
- 71 + 132949 = 133020
- 73 + 132947 = 133020
- 109 + 132911 = 133020
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 9E 9C (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.156.
- Address
- 0.2.7.156
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.7.156
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 133,020 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 133020 first appears in π at position 523,370 of the decimal expansion (the 523,370ordinal-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°.