117,110
117,110 is a composite number, even.
117,110 (one hundred seventeen thousand one hundred ten) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 5 × 7² × 239. Its proper divisors sum to 129,130, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C976.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 11,711
- Square (n²)
- 13,714,752,100
- Cube (n³)
- 1,606,134,618,431,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 246,240
- φ(n) — Euler's totient
- 39,984
- Sum of prime factors
- 260
Primality
Prime factorization: 2 × 5 × 7 2 × 239
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√117,110 = [342; (4, 1, 2, 5, 3, 2, 1, 13, 3, 1, 2, 2, 3, 61, 1, 12, 1, 61, 3, 2, 2, 1, 3, 13, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seventeen thousand one hundred ten
- Ordinal
- 117110th
- Binary
- 11100100101110110
- Octal
- 344566
- Hexadecimal
- 0x1C976
- Base64
- Acl2
- One's complement
- 4,294,850,185 (32-bit)
- Scientific notation
- 1.1711 × 10⁵
- As a duration
- 117,110 s = 1 day, 8 hours, 31 minutes, 50 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆
- Greek (Milesian)
- ͵ριζριʹ
- Mayan (base 20)
- 𝋮·𝋬·𝋯·𝋪
- Chinese
- 一十一萬七千一百一十
- Chinese (financial)
- 壹拾壹萬柒仟壹佰壹拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117110, here are decompositions:
- 67 + 117043 = 117110
- 73 + 117037 = 117110
- 151 + 116959 = 117110
- 157 + 116953 = 117110
- 181 + 116929 = 117110
- 199 + 116911 = 117110
- 229 + 116881 = 117110
- 277 + 116833 = 117110
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.118.
- Address
- 0.1.201.118
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.201.118
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 117,110 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 117110 first appears in π at position 816,233 of the decimal expansion (the 816,233ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.