101,824
101,824 is a composite number, even.
101,824 (one hundred one thousand eight hundred twenty-four) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 37 × 43. Its proper divisors sum to 110,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x18DC0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 428,101
- Square (n²)
- 10,368,126,976
- Cube (n³)
- 1,055,724,161,204,224
- Divisor count
- 28
- σ(n) — sum of divisors
- 212,344
- φ(n) — Euler's totient
- 48,384
- Sum of prime factors
- 92
Primality
Prime factorization: 2 6 × 37 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√101,824 = [319; (10, 7, 1, 3, 1, 1, 9, 1, 1, 2, 1, 12, 3, 4, 13, 15, 2, 25, 22, 1, 3, 17, 2, 9, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- one hundred one thousand eight hundred twenty-four
- Ordinal
- 101824th
- Binary
- 11000110111000000
- Octal
- 306700
- Hexadecimal
- 0x18DC0
- Base64
- AY3A
- One's complement
- 4,294,865,471 (32-bit)
- Scientific notation
- 1.01824 × 10⁵
- As a duration
- 101,824 s = 1 day, 4 hours, 17 minutes, 4 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ραωκδʹ
- Mayan (base 20)
- 𝋬·𝋮·𝋫·𝋤
- Chinese
- 一十萬一千八百二十四
- Chinese (financial)
- 壹拾萬壹仟捌佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101824, here are decompositions:
- 17 + 101807 = 101824
- 53 + 101771 = 101824
- 83 + 101741 = 101824
- 101 + 101723 = 101824
- 131 + 101693 = 101824
- 197 + 101627 = 101824
- 251 + 101573 = 101824
- 263 + 101561 = 101824
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.141.192.
- Address
- 0.1.141.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.141.192
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 101,824 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.