100,800
100,800 is a composite number, even.
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 8,001
- Flips to (rotate 180°)
- 8,001
- Recamán's sequence
- a(255,116) = 100,800
- Square (n²)
- 10,160,640,000
- Cube (n³)
- 1,024,192,512,000,000
- Divisor count
- 126
- σ(n) — sum of divisors
- 409,448
- φ(n) — Euler's totient
- 23,040
- Sum of prime factors
- 35
Primality
Prime factorization: 2 6 × 3 2 × 5 2 × 7
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√100,800 = [317; (2, 24, 1, 8, 1, 24, 2, 634)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thousand eight hundred
- Ordinal
- 100800th
- Binary
- 11000100111000000
- Octal
- 304700
- Hexadecimal
- 0x189C0
- Base64
- AYnA
- One's complement
- 4,294,866,495 (32-bit)
- Scientific notation
- 1.008 × 10⁵
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · ·
- Egyptian hieroglyphic
- 𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρωʹ
- Mayan (base 20)
- 𝋬·𝋬·𝋠·𝋠
- Chinese
- 一十萬零八百
- Chinese (financial)
- 壹拾萬零捌佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100800, here are decompositions:
- 13 + 100787 = 100800
- 31 + 100769 = 100800
- 53 + 100747 = 100800
- 59 + 100741 = 100800
- 67 + 100733 = 100800
- 97 + 100703 = 100800
- 101 + 100699 = 100800
- 107 + 100693 = 100800
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 98 A7 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.137.192.
- Address
- 0.1.137.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.137.192
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 100,800 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 100800 first appears in π at position 642,471 of the decimal expansion (the 642,471ordinal-suffix:st 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.