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21,110

21,110 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.).

21,110 (twenty-one thousand one hundred ten) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 5 × 2,111. Written other ways, in hexadecimal, 0x5276.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Harshad / Niven Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
1,112
Recamán's sequence
a(41,619) = 21,110
Square (n²)
445,632,100
Cube (n³)
9,407,293,631,000
Divisor count
8
σ(n) — sum of divisors
38,016
φ(n) — Euler's totient
8,440
Sum of prime factors
2,118

Primality

Prime factorization: 2 × 5 × 2111

Nearest primes: 21,107 (−3) · 21,121 (+11)

Divisors & multiples

All divisors (8)
1 · 2 · 5 · 10 · 2111 · 4222 · 10555 (half) · 21110
Aliquot sum (sum of proper divisors): 16,906
Factor pairs (a × b = 21,110)
1 × 21110
2 × 10555
5 × 4222
10 × 2111
First multiples
21,110 · 42,220 (double) · 63,330 · 84,440 · 105,550 · 126,660 · 147,770 · 168,880 · 189,990 · 211,100

Sums & aliquot sequence

As consecutive integers: 5,276 + 5,277 + 5,278 + 5,279 4,220 + 4,221 + 4,222 + 4,223 + 4,224 1,046 + 1,047 + … + 1,065
Aliquot sequence: 21,110 16,906 9,014 4,510 4,562 2,284 1,720 2,240 3,856 3,646 1,826 1,198 602 454 230 202 104 — unresolved within range

Continued fraction of √n

√21,110 = [145; (3, 2, 2, 2, 4, 2, 1, 6, 2, 1, 1, 14, 1, 2, 3, 26, 8, 1, 1, 28, 1, 1, 8, 26, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
twenty-one thousand one hundred ten
Ordinal
21110th
Binary
101001001110110
Octal
51166
Hexadecimal
0x5276
Base64
UnY=
One's complement
44,425 (16-bit)
Scientific notation
2.111 × 10⁴
As a duration
21,110 s = 5 hours, 51 minutes, 50 seconds
In other bases
ternary (3) 1001221212
quaternary (4) 11021312
quinary (5) 1133420
senary (6) 241422
septenary (7) 115355
nonary (9) 31855
undecimal (11) 14951
duodecimal (12) 10272
tridecimal (13) 97bb
tetradecimal (14) 799c
pentadecimal (15) 63c5

As an angle

21,110° = 58 × 360° + 230°
230° ≈ 4.014 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓎆
Greek (Milesian)
͵καριʹ
Mayan (base 20)
𝋢·𝋬·𝋯·𝋪
Chinese
二萬一千一百一十
Chinese (financial)
貳萬壹仟壹佰壹拾
In other modern scripts
Eastern Arabic ٢١١١٠ Devanagari २१११० Bengali ২১১১০ Tamil ௨௧௧௧௦ Thai ๒๑๑๑๐ Tibetan ༢༡༡༡༠ Khmer ២១១១០ Lao ໒໑໑໑໐ Burmese ၂၁၁၁၀

Digit at this position in famous constants

π — Pi (π)
Digit 21,110 = 0
e — Euler's number (e)
Digit 21,110 = 5
φ — Golden ratio (φ)
Digit 21,110 = 6
√2 — Pythagoras's (√2)
Digit 21,110 = 6
ln 2 — Natural log of 2
Digit 21,110 = 2
γ — Euler-Mascheroni (γ)
Digit 21,110 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21110, here are decompositions:

  • 3 + 21107 = 21110
  • 43 + 21067 = 21110
  • 79 + 21031 = 21110
  • 97 + 21013 = 21110
  • 109 + 21001 = 21110
  • 127 + 20983 = 21110
  • 151 + 20959 = 21110
  • 163 + 20947 = 21110

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5276
U+5276
Other letter (Lo)

UTF-8 encoding: E5 89 B6 (3 bytes).

Hex color
#005276
RGB(0, 82, 118)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.118.

Address
0.0.82.118
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.118

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

Position in π

The digit sequence 21110 first appears in π at position 55,543 of the decimal expansion (the 55,543ordinal-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.