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110,816

110,816 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.).

110,816 (one hundred ten thousand eight hundred sixteen) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 3,463. Written other ways, in hexadecimal, 0x1B0E0.

Arithmetic Number Deficient Number Flippable Gapful Number Happy Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
618,011
Flips to (rotate 180°)
918,011
Recamán's sequence
a(49,607) = 110,816
Square (n²)
12,280,185,856
Cube (n³)
1,360,841,075,818,496
Divisor count
12
σ(n) — sum of divisors
218,232
φ(n) — Euler's totient
55,392
Sum of prime factors
3,473

Primality

Prime factorization: 2 5 × 3463

Nearest primes: 110,813 (−3) · 110,819 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 3463 · 6926 · 13852 · 27704 · 55408 (half) · 110816
Aliquot sum (sum of proper divisors): 107,416
Factor pairs (a × b = 110,816)
1 × 110816
2 × 55408
4 × 27704
8 × 13852
16 × 6926
32 × 3463
First multiples
110,816 · 221,632 (double) · 332,448 · 443,264 · 554,080 · 664,896 · 775,712 · 886,528 · 997,344 · 1,108,160

Sums & aliquot sequence

As consecutive integers: 1,700 + 1,701 + … + 1,763
Aliquot sequence: 110,816 107,416 101,384 114,616 100,304 94,066 67,214 48,034 37,214 21,106 11,258 6,970 6,638 3,322 2,150 1,942 974 — unresolved within range

Continued fraction of √n

√110,816 = [332; (1, 8, 8, 4, 1, 2, 1, 3, 1, 5, 1, 6, 1, 1, 1, 2, 4, 1, 6, 2, 2, 1, 2, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand eight hundred sixteen
Ordinal
110816th
Binary
11011000011100000
Octal
330340
Hexadecimal
0x1B0E0
Base64
AbDg
One's complement
4,294,856,479 (32-bit)
Scientific notation
1.10816 × 10⁵
As a duration
110,816 s = 1 day, 6 hours, 46 minutes, 56 seconds
In other bases
ternary (3) 12122000022
quaternary (4) 123003200
quinary (5) 12021231
senary (6) 2213012
septenary (7) 641036
nonary (9) 178008
undecimal (11) 76292
duodecimal (12) 54168
tridecimal (13) 3b594
tetradecimal (14) 2c556
pentadecimal (15) 22c7b

As an angle

110,816° = 307 × 360° + 296°
296° ≈ 5.166 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριωιϛʹ
Mayan (base 20)
𝋭·𝋱·𝋠·𝋰
Chinese
一十一萬零八百一十六
Chinese (financial)
壹拾壹萬零捌佰壹拾陸
In other modern scripts
Eastern Arabic ١١٠٨١٦ Devanagari ११०८१६ Bengali ১১০৮১৬ Tamil ௧௧௦௮௧௬ Thai ๑๑๐๘๑๖ Tibetan ༡༡༠༨༡༦ Khmer ១១០៨១៦ Lao ໑໑໐໘໑໖ Burmese ၁၁၀၈၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110816, here are decompositions:

  • 3 + 110813 = 110816
  • 67 + 110749 = 110816
  • 193 + 110623 = 110816
  • 229 + 110587 = 110816
  • 283 + 110533 = 110816
  • 313 + 110503 = 110816
  • 337 + 110479 = 110816
  • 379 + 110437 = 110816

Showing the first eight; more decompositions exist.

Unicode codepoint
𛃠
Hentaigana Letter Ya-4
U+1B0E0
Other letter (Lo)

UTF-8 encoding: F0 9B 83 A0 (4 bytes).

Hex color
#01B0E0
RGB(1, 176, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.176.224.

Address
0.1.176.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.176.224

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 110,816 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 110816 first appears in π at position 988,667 of the decimal expansion (the 988,667ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.