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13,110

13,110 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.).
Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Pronic / Oblong Recamán's Sequence Semiperfect Number Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
1,131
Recamán's sequence
a(48,055) = 13,110
Square (n²)
171,872,100
Cube (n³)
2,253,243,231,000
Divisor count
32
σ(n) — sum of divisors
34,560
φ(n) — Euler's totient
3,168
Sum of prime factors
52

Primality

Prime factorization: 2 × 3 × 5 × 19 × 23

Nearest primes: 13,109 (−1) · 13,121 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 19 · 23 · 30 · 38 · 46 · 57 · 69 · 95 · 114 · 115 · 138 · 190 · 230 · 285 · 345 · 437 · 570 · 690 · 874 · 1311 · 2185 · 2622 · 4370 · 6555 (half) · 13110
Aliquot sum (sum of proper divisors): 21,450
Factor pairs (a × b = 13,110)
1 × 13110
2 × 6555
3 × 4370
5 × 2622
6 × 2185
10 × 1311
15 × 874
19 × 690
23 × 570
30 × 437
38 × 345
46 × 285
57 × 230
69 × 190
95 × 138
114 × 115
First multiples
13,110 · 26,220 (double) · 39,330 · 52,440 · 65,550 · 78,660 · 91,770 · 104,880 · 117,990 · 131,100

Sums & aliquot sequence

As consecutive integers: 4,369 + 4,370 + 4,371 3,276 + 3,277 + 3,278 + 3,279 2,620 + 2,621 + 2,622 + 2,623 + 2,624 1,087 + 1,088 + … + 1,098
Aliquot sequence: 13,110 21,450 41,046 41,058 47,940 97,212 129,644 97,240 174,920 218,740 240,656 269,914 156,326 78,166 65,474 37,966 20,498 — unresolved within range

Representations

In words
thirteen thousand one hundred ten
Ordinal
13110th
Binary
11001100110110
Octal
31466
Hexadecimal
0x3336
Base64
MzY=
One's complement
52,425 (16-bit)
In other bases
ternary (3) 122222120
quaternary (4) 3030312
quinary (5) 404420
senary (6) 140410
septenary (7) 53136
nonary (9) 18876
undecimal (11) 9939
duodecimal (12) 7706
tridecimal (13) 5c76
tetradecimal (14) 4ac6
pentadecimal (15) 3d40

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆
Greek (Milesian)
͵ιγριʹ
Mayan (base 20)
𝋡·𝋬·𝋯·𝋪
Chinese
一萬三千一百一十
Chinese (financial)
壹萬參仟壹佰壹拾
In other modern scripts
Eastern Arabic ١٣١١٠ Devanagari १३११० Bengali ১৩১১০ Tamil ௧௩௧௧௦ Thai ๑๓๑๑๐ Tibetan ༡༣༡༡༠ Khmer ១៣១១០ Lao ໑໓໑໑໐ Burmese ၁၃၁၁၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,110 = 8
e — Euler's number (e)
Digit 13,110 = 8
φ — Golden ratio (φ)
Digit 13,110 = 0
√2 — Pythagoras's (√2)
Digit 13,110 = 6
ln 2 — Natural log of 2
Digit 13,110 = 5
γ — Euler-Mascheroni (γ)
Digit 13,110 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13110, here are decompositions:

  • 7 + 13103 = 13110
  • 11 + 13099 = 13110
  • 17 + 13093 = 13110
  • 47 + 13063 = 13110
  • 61 + 13049 = 13110
  • 67 + 13043 = 13110
  • 73 + 13037 = 13110
  • 101 + 13009 = 13110

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Hekutaaru
U+3336
Other symbol (So)

UTF-8 encoding: E3 8C B6 (3 bytes).

Hex color
#003336
RGB(0, 51, 54)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.54.

Address
0.0.51.54
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.54

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000013110
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 13110 first appears in π at position 78,427 of the decimal expansion (the 78,427ordinal-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.