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111,008

111,008 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.).

111,008 (one hundred eleven thousand eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 3,469. Written other ways, in hexadecimal, 0x1B1A0.

Deficient Number Flippable Odious Number Pernicious Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
800,111
Flips to (rotate 180°)
800,111
Recamán's sequence
a(248,392) = 111,008
Square (n²)
12,322,776,064
Cube (n³)
1,367,926,725,312,512
Divisor count
12
σ(n) — sum of divisors
218,610
φ(n) — Euler's totient
55,488
Sum of prime factors
3,479

Primality

Prime factorization: 2 5 × 3469

Nearest primes: 110,989 (−19) · 111,029 (+21)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 3469 · 6938 · 13876 · 27752 · 55504 (half) · 111008
Aliquot sum (sum of proper divisors): 107,602
Factor pairs (a × b = 111,008)
1 × 111008
2 × 55504
4 × 27752
8 × 13876
16 × 6938
32 × 3469
First multiples
111,008 · 222,016 (double) · 333,024 · 444,032 · 555,040 · 666,048 · 777,056 · 888,064 · 999,072 · 1,110,080

Sums & aliquot sequence

As a sum of two squares: 28² + 332²
As consecutive integers: 1,703 + 1,704 + … + 1,766
Aliquot sequence: 111,008 107,602 73,550 63,346 36,734 18,370 17,918 11,554 6,266 3,898 1,952 1,954 980 1,414 1,034 694 350 — unresolved within range

Continued fraction of √n

√111,008 = [333; (5, 1, 1, 2, 21, 9, 1, 3, 23, 1, 1, 5, 2, 3, 1, 1, 1, 1, 7, 1, 4, 1, 2, 1, …)]

Representations

In words
one hundred eleven thousand eight
Ordinal
111008th
Binary
11011000110100000
Octal
330640
Hexadecimal
0x1B1A0
Base64
AbGg
One's complement
4,294,856,287 (32-bit)
Scientific notation
1.11008 × 10⁵
As a duration
111,008 s = 1 day, 6 hours, 50 minutes, 8 seconds
In other bases
ternary (3) 12122021102
quaternary (4) 123012200
quinary (5) 12023013
senary (6) 2213532
septenary (7) 641432
nonary (9) 178242
undecimal (11) 76447
duodecimal (12) 542a8
tridecimal (13) 3b6b1
tetradecimal (14) 2c652
pentadecimal (15) 22d58

As an angle

111,008° = 308 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριαηʹ
Mayan (base 20)
𝋭·𝋱·𝋪·𝋨
Chinese
一十一萬一千零八
Chinese (financial)
壹拾壹萬壹仟零捌
In other modern scripts
Eastern Arabic ١١١٠٠٨ Devanagari १११००८ Bengali ১১১০০৮ Tamil ௧௧௧௦௦௮ Thai ๑๑๑๐๐๘ Tibetan ༡༡༡༠༠༨ Khmer ១១១០០៨ Lao ໑໑໑໐໐໘ Burmese ၁၁၁၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 111008, here are decompositions:

  • 19 + 110989 = 111008
  • 31 + 110977 = 111008
  • 61 + 110947 = 111008
  • 109 + 110899 = 111008
  • 127 + 110881 = 111008
  • 277 + 110731 = 111008
  • 367 + 110641 = 111008
  • 379 + 110629 = 111008

Showing the first eight; more decompositions exist.

Unicode codepoint
𛆠
Nushu Character-1B1A0
U+1B1A0
Other letter (Lo)

UTF-8 encoding: F0 9B 86 A0 (4 bytes).

Hex color
#01B1A0
RGB(1, 177, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.177.160.

Address
0.1.177.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.177.160

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 111,008 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

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