110,110
110,110 is a composite number, even.
110,110 (one hundred ten thousand one hundred ten) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 5 × 7 × 11² × 13. Its proper divisors sum to 158,018, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AE1E.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 4
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 11,011
- Flips to (rotate 180°)
- 11,011
- Recamán's sequence
- a(249,076) = 110,110
- Square (n²)
- 12,124,212,100
- Cube (n³)
- 1,334,996,994,331,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 268,128
- φ(n) — Euler's totient
- 31,680
- Sum of prime factors
- 49
Primality
Prime factorization: 2 × 5 × 7 × 11 2 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√110,110 = [331; (1, 4, 1, 4, 1, 1, 1, 6, 1, 1, 1, 4, 1, 4, 1, 662)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred ten thousand one hundred ten
- Ordinal
- 110110th
- Binary
- 11010111000011110
- Octal
- 327036
- Hexadecimal
- 0x1AE1E
- Base64
- Aa4e
- One's complement
- 4,294,857,185 (32-bit)
- Scientific notation
- 1.1011 × 10⁵
- As a duration
- 110,110 s = 1 day, 6 hours, 35 minutes, 10 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓍢𓎆
- Greek (Milesian)
- ͵ριριʹ
- Mayan (base 20)
- 𝋭·𝋯·𝋥·𝋪
- Chinese
- 一十一萬零一百一十
- Chinese (financial)
- 壹拾壹萬零壹佰壹拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110110, here are decompositions:
- 41 + 110069 = 110110
- 47 + 110063 = 110110
- 59 + 110051 = 110110
- 71 + 110039 = 110110
- 149 + 109961 = 110110
- 167 + 109943 = 110110
- 173 + 109937 = 110110
- 191 + 109919 = 110110
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.30.
- Address
- 0.1.174.30
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.174.30
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 110,110 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 110110 first appears in π at position 3,844 of the decimal expansion (the 3,844ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.