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109,120

109,120 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 Evil Number Gapful Number Practical Number Self Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
21,901
Square (n²)
11,907,174,400
Cube (n³)
1,299,310,870,528,000
Divisor count
56
σ(n) — sum of divisors
292,608
φ(n) — Euler's totient
38,400
Sum of prime factors
59

Primality

Prime factorization: 2 6 × 5 × 11 × 31

Nearest primes: 109,111 (−9) · 109,121 (+1)

Divisors & multiples

All divisors (56)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 31 · 32 · 40 · 44 · 55 · 62 · 64 · 80 · 88 · 110 · 124 · 155 · 160 · 176 · 220 · 248 · 310 · 320 · 341 · 352 · 440 · 496 · 620 · 682 · 704 · 880 · 992 · 1240 · 1364 · 1705 · 1760 · 1984 · 2480 · 2728 · 3410 · 3520 · 4960 · 5456 · 6820 · 9920 · 10912 · 13640 · 21824 · 27280 · 54560 (half) · 109120
Aliquot sum (sum of proper divisors): 183,488
Factor pairs (a × b = 109,120)
1 × 109120
2 × 54560
4 × 27280
5 × 21824
8 × 13640
10 × 10912
11 × 9920
16 × 6820
20 × 5456
22 × 4960
31 × 3520
32 × 3410
40 × 2728
44 × 2480
55 × 1984
62 × 1760
64 × 1705
80 × 1364
88 × 1240
110 × 992
124 × 880
155 × 704
160 × 682
176 × 620
220 × 496
248 × 440
310 × 352
320 × 341
First multiples
109,120 · 218,240 (double) · 327,360 · 436,480 · 545,600 · 654,720 · 763,840 · 872,960 · 982,080 · 1,091,200

Sums & aliquot sequence

As consecutive integers: 21,822 + 21,823 + 21,824 + 21,825 + 21,826 9,915 + 9,916 + … + 9,925 3,505 + 3,506 + … + 3,535 1,957 + 1,958 + … + 2,011
Aliquot sequence: 109,120 183,488 194,464 198,656 202,654 117,386 58,696 70,904 62,056 54,314 33,466 18,554 9,280 13,580 19,348 19,404 42,840 — unresolved within range

Continued fraction of √n

√109,120 = [330; (3, 660)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred nine thousand one hundred twenty
Ordinal
109120th
Binary
11010101001000000
Octal
325100
Hexadecimal
0x1AA40
Base64
AapA
One's complement
4,294,858,175 (32-bit)
Scientific notation
1.0912 × 10⁵
In other bases
ternary (3) 12112200111
quaternary (4) 122221000
quinary (5) 11442440
senary (6) 2201104
septenary (7) 633064
nonary (9) 175614
undecimal (11) 74a90
duodecimal (12) 53194
tridecimal (13) 3a88b
tetradecimal (14) 2baa4
pentadecimal (15) 224ea

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ρθρκʹ
Mayan (base 20)
𝋭·𝋬·𝋰·𝋠
Chinese
一十萬九千一百二十
Chinese (financial)
壹拾萬玖仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٠٩١٢٠ Devanagari १०९१२० Bengali ১০৯১২০ Tamil ௧௦௯௧௨௦ Thai ๑๐๙๑๒๐ Tibetan ༡༠༩༡༢༠ Khmer ១០៩១២០ Lao ໑໐໙໑໒໐ Burmese ၁၀၉၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 109120, here are decompositions:

  • 17 + 109103 = 109120
  • 23 + 109097 = 109120
  • 47 + 109073 = 109120
  • 71 + 109049 = 109120
  • 83 + 109037 = 109120
  • 107 + 109013 = 109120
  • 149 + 108971 = 109120
  • 173 + 108947 = 109120

Showing the first eight; more decompositions exist.

Hex color
#01AA40
RGB(1, 170, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.170.64.

Address
0.1.170.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.170.64

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 109,120 and was likely granted around 1871.

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