110,106
110,106 is a composite number, even.
110,106 (one hundred ten thousand one hundred six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 2,039. Its proper divisors sum to 134,694, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AE1A.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 601,011
- Flips to (rotate 180°)
- 901,011
- Recamán's sequence
- a(249,084) = 110,106
- Square (n²)
- 12,123,331,236
- Cube (n³)
- 1,334,851,509,071,016
- Divisor count
- 16
- σ(n) — sum of divisors
- 244,800
- φ(n) — Euler's totient
- 36,684
- Sum of prime factors
- 2,050
Primality
Prime factorization: 2 × 3 3 × 2039
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√110,106 = [331; (1, 4, 1, 1, 1, 2, 25, 6, 1, 4, 17, 3, 1, 6, 1, 1, 1, 1, 1, 2, 1, 1, 1, 25, …)]
Representations
- In words
- one hundred ten thousand one hundred six
- Ordinal
- 110106th
- Binary
- 11010111000011010
- Octal
- 327032
- Hexadecimal
- 0x1AE1A
- Base64
- Aa4a
- One's complement
- 4,294,857,189 (32-bit)
- Scientific notation
- 1.10106 × 10⁵
- As a duration
- 110,106 s = 1 day, 6 hours, 35 minutes, 6 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓍢𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριρϛʹ
- Mayan (base 20)
- 𝋭·𝋯·𝋥·𝋦
- Chinese
- 一十一萬零一百零六
- Chinese (financial)
- 壹拾壹萬零壹佰零陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110106, here are decompositions:
- 23 + 110083 = 110106
- 37 + 110069 = 110106
- 43 + 110063 = 110106
- 47 + 110059 = 110106
- 67 + 110039 = 110106
- 83 + 110023 = 110106
- 89 + 110017 = 110106
- 163 + 109943 = 110106
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.26.
- Address
- 0.1.174.26
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.174.26
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 110,106 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 110106 first appears in π at position 95,238 of the decimal expansion (the 95,238ordinal-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°.