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110,116

110,116 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

110,116 (one hundred ten thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 27,529. Written other ways, in hexadecimal, 0x1AE24.

Cube-Free Deficient Number Evil Number Flippable Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
611,011
Flips to (rotate 180°)
911,011
Recamán's sequence
a(249,064) = 110,116
Square (n²)
12,125,533,456
Cube (n³)
1,335,215,242,040,896
Divisor count
6
σ(n) — sum of divisors
192,710
φ(n) — Euler's totient
55,056
Sum of prime factors
27,533

Primality

Prime factorization: 2 2 × 27529

Nearest primes: 110,083 (−33) · 110,119 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 27529 · 55058 (half) · 110116
Aliquot sum (sum of proper divisors): 82,594
Factor pairs (a × b = 110,116)
1 × 110116
2 × 55058
4 × 27529
First multiples
110,116 · 220,232 (double) · 330,348 · 440,464 · 550,580 · 660,696 · 770,812 · 880,928 · 991,044 · 1,101,160

Sums & aliquot sequence

As a sum of two squares: 150² + 296²
As consecutive integers: 13,761 + 13,762 + … + 13,768
Aliquot sequence: 110,116 82,594 43,514 21,760 33,428 26,464 25,700 30,286 17,594 10,246 5,594 2,800 4,888 5,192 5,608 4,922 2,854 — unresolved within range

Continued fraction of √n

√110,116 = [331; (1, 5, 6, 1, 4, 1, 1, 6, 1, 1, 2, 3, 2, 6, 2, 10, 1, 1, 2, 14, 2, 1, 5, 3, …)]

Representations

In words
one hundred ten thousand one hundred sixteen
Ordinal
110116th
Binary
11010111000100100
Octal
327044
Hexadecimal
0x1AE24
Base64
Aa4k
One's complement
4,294,857,179 (32-bit)
Scientific notation
1.10116 × 10⁵
As a duration
110,116 s = 1 day, 6 hours, 35 minutes, 16 seconds
In other bases
ternary (3) 12121001101
quaternary (4) 122320210
quinary (5) 12010431
senary (6) 2205444
septenary (7) 636016
nonary (9) 177041
undecimal (11) 75806
duodecimal (12) 53884
tridecimal (13) 3b176
tetradecimal (14) 2c1b6
pentadecimal (15) 22961

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριριϛʹ
Mayan (base 20)
𝋭·𝋯·𝋥·𝋰
Chinese
一十一萬零一百一十六
Chinese (financial)
壹拾壹萬零壹佰壹拾陸
In other modern scripts
Eastern Arabic ١١٠١١٦ Devanagari ११०११६ Bengali ১১০১১৬ Tamil ௧௧௦௧௧௬ Thai ๑๑๐๑๑๖ Tibetan ༡༡༠༡༡༦ Khmer ១១០១១៦ Lao ໑໑໐໑໑໖ Burmese ၁၁၀၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110116, here are decompositions:

  • 47 + 110069 = 110116
  • 53 + 110063 = 110116
  • 173 + 109943 = 110116
  • 179 + 109937 = 110116
  • 197 + 109919 = 110116
  • 233 + 109883 = 110116
  • 257 + 109859 = 110116
  • 269 + 109847 = 110116

Showing the first eight; more decompositions exist.

Hex color
#01AE24
RGB(1, 174, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.36.

Address
0.1.174.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.174.36

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 110,116 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 110116 first appears in π at position 825,374 of the decimal expansion (the 825,374ordinal-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