110,016
110,016 is a composite number, even.
110,016 (one hundred ten thousand sixteen) is an even 6-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 3² × 191. Its proper divisors sum to 206,976, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1ADC0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 610,011
- Flips to (rotate 180°)
- 910,011
- Recamán's sequence
- a(249,264) = 110,016
- Square (n²)
- 12,103,520,256
- Cube (n³)
- 1,331,580,884,484,096
- Divisor count
- 42
- σ(n) — sum of divisors
- 316,992
- φ(n) — Euler's totient
- 36,480
- Sum of prime factors
- 209
Primality
Prime factorization: 2 6 × 3 2 × 191
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√110,016 = [331; (1, 2, 5, 4, 6, 1, 2, 1, 9, 1, 3, 1, 2, 1, 2, 1, 2, 1, 3, 1, 9, 1, 2, 1, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- one hundred ten thousand sixteen
- Ordinal
- 110016th
- Binary
- 11010110111000000
- Octal
- 326700
- Hexadecimal
- 0x1ADC0
- Base64
- Aa3A
- One's complement
- 4,294,857,279 (32-bit)
- Scientific notation
- 1.10016 × 10⁵
- As a duration
- 110,016 s = 1 day, 6 hours, 33 minutes, 36 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριιϛʹ
- Mayan (base 20)
- 𝋭·𝋯·𝋠·𝋰
- Chinese
- 一十一萬零一十六
- Chinese (financial)
- 壹拾壹萬零壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110016, here are decompositions:
- 29 + 109987 = 110016
- 73 + 109943 = 110016
- 79 + 109937 = 110016
- 97 + 109919 = 110016
- 103 + 109913 = 110016
- 113 + 109903 = 110016
- 157 + 109859 = 110016
- 167 + 109849 = 110016
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.173.192.
- Address
- 0.1.173.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.173.192
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 110,016 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 110016 first appears in π at position 525,397 of the decimal expansion (the 525,397ordinal-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°.