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110,968

110,968 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.).

110,968 (one hundred ten thousand nine hundred sixty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 13 × 97. Its proper divisors sum to 135,992, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B178.

Abundant Number Flippable Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
869,011
Flips to (rotate 180°)
896,011
Recamán's sequence
a(49,303) = 110,968
Square (n²)
12,313,897,024
Cube (n³)
1,366,448,524,959,232
Divisor count
32
σ(n) — sum of divisors
246,960
φ(n) — Euler's totient
46,080
Sum of prime factors
127

Primality

Prime factorization: 2 3 × 11 × 13 × 97

Nearest primes: 110,951 (−17) · 110,969 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 11 · 13 · 22 · 26 · 44 · 52 · 88 · 97 · 104 · 143 · 194 · 286 · 388 · 572 · 776 · 1067 · 1144 · 1261 · 2134 · 2522 · 4268 · 5044 · 8536 · 10088 · 13871 · 27742 · 55484 (half) · 110968
Aliquot sum (sum of proper divisors): 135,992
Factor pairs (a × b = 110,968)
1 × 110968
2 × 55484
4 × 27742
8 × 13871
11 × 10088
13 × 8536
22 × 5044
26 × 4268
44 × 2522
52 × 2134
88 × 1261
97 × 1144
104 × 1067
143 × 776
194 × 572
286 × 388
First multiples
110,968 · 221,936 (double) · 332,904 · 443,872 · 554,840 · 665,808 · 776,776 · 887,744 · 998,712 · 1,109,680

Sums & aliquot sequence

As consecutive integers: 10,083 + 10,084 + … + 10,093 8,530 + 8,531 + … + 8,542 6,928 + 6,929 + … + 6,943 1,096 + 1,097 + … + 1,192
Aliquot sequence: 110,968 135,992 123,208 107,822 89,818 44,912 54,784 55,700 65,386 32,696 30,544 31,952 29,986 21,854 16,450 19,262 9,634 — unresolved within range

Continued fraction of √n

√110,968 = [333; (8, 2, 3, 5, 1, 7, 2, 1, 1, 1, 1, 12, 1, 54, 1, 1, 2, 5, 2, 73, 1, 1, 3, 7, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand nine hundred sixty-eight
Ordinal
110968th
Binary
11011000101111000
Octal
330570
Hexadecimal
0x1B178
Base64
AbF4
One's complement
4,294,856,327 (32-bit)
Scientific notation
1.10968 × 10⁵
As a duration
110,968 s = 1 day, 6 hours, 49 minutes, 28 seconds
In other bases
ternary (3) 12122012221
quaternary (4) 123011320
quinary (5) 12022333
senary (6) 2213424
septenary (7) 641344
nonary (9) 178187
undecimal (11) 76410
duodecimal (12) 54274
tridecimal (13) 3b680
tetradecimal (14) 2c624
pentadecimal (15) 22d2d

As an angle

110,968° = 308 × 360° + 88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριϡξηʹ
Mayan (base 20)
𝋭·𝋱·𝋨·𝋨
Chinese
一十一萬零九百六十八
Chinese (financial)
壹拾壹萬零玖佰陸拾捌
In other modern scripts
Eastern Arabic ١١٠٩٦٨ Devanagari ११०९६८ Bengali ১১০৯৬৮ Tamil ௧௧௦௯௬௮ Thai ๑๑๐๙๖๘ Tibetan ༡༡༠༩༦༨ Khmer ១១០៩៦៨ Lao ໑໑໐໙໖໘ Burmese ၁၁၀၉၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110968, here are decompositions:

  • 17 + 110951 = 110968
  • 29 + 110939 = 110968
  • 41 + 110927 = 110968
  • 47 + 110921 = 110968
  • 59 + 110909 = 110968
  • 89 + 110879 = 110968
  • 149 + 110819 = 110968
  • 191 + 110777 = 110968

Showing the first eight; more decompositions exist.

Unicode codepoint
𛅸
Nushu Character-1B178
U+1B178
Other letter (Lo)

UTF-8 encoding: F0 9B 85 B8 (4 bytes).

Hex color
#01B178
RGB(1, 177, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.177.120.

Address
0.1.177.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.177.120

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 110,968 and was likely granted around 1871.

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

Related reading