100,116
100,116 is a composite number, even.
100,116 (one hundred thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3⁵ × 103. Its proper divisors sum to 164,876, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x18714.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 611,001
- Flips to (rotate 180°)
- 911,001
- Square (n²)
- 10,023,213,456
- Cube (n³)
- 1,003,484,038,360,896
- Divisor count
- 36
- σ(n) — sum of divisors
- 264,992
- φ(n) — Euler's totient
- 33,048
- Sum of prime factors
- 122
Primality
Prime factorization: 2 2 × 3 5 × 103
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√100,116 = [316; (2, 2, 3, 5, 8, 1, 2, 1, 1, 1, 1, 1, 31, 48, 1, 1, 1, 4, 1, 69, 2, 24, 1, 4, …)]
Period length 58 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thousand one hundred sixteen
- Ordinal
- 100116th
- Binary
- 11000011100010100
- Octal
- 303424
- Hexadecimal
- 0x18714
- Base64
- AYcU
- One's complement
- 4,294,867,179 (32-bit)
- Scientific notation
- 1.00116 × 10⁵
- As a duration
- 100,116 s = 1 day, 3 hours, 48 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρριϛʹ
- Mayan (base 20)
- 𝋬·𝋪·𝋥·𝋰
- Chinese
- 一十萬零一百一十六
- Chinese (financial)
- 壹拾萬零壹佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100116, here are decompositions:
- 7 + 100109 = 100116
- 13 + 100103 = 100116
- 47 + 100069 = 100116
- 59 + 100057 = 100116
- 67 + 100049 = 100116
- 73 + 100043 = 100116
- 97 + 100019 = 100116
- 113 + 100003 = 100116
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 98 9C 94 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.135.20.
- Address
- 0.1.135.20
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.135.20
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 100,116 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 100116 first appears in π at position 173,493 of the decimal expansion (the 173,493ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.