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111,020

111,020 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.).

111,020 (one hundred eleven thousand twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 7 × 13 × 61. Its proper divisors sum to 180,628, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B1AC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
20,111
Recamán's sequence
a(248,368) = 111,020
Square (n²)
12,325,440,400
Cube (n³)
1,368,370,393,208,000
Divisor count
48
σ(n) — sum of divisors
291,648
φ(n) — Euler's totient
34,560
Sum of prime factors
90

Primality

Prime factorization: 2 2 × 5 × 7 × 13 × 61

Nearest primes: 110,989 (−31) · 111,029 (+9)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 7 · 10 · 13 · 14 · 20 · 26 · 28 · 35 · 52 · 61 · 65 · 70 · 91 · 122 · 130 · 140 · 182 · 244 · 260 · 305 · 364 · 427 · 455 · 610 · 793 · 854 · 910 · 1220 · 1586 · 1708 · 1820 · 2135 · 3172 · 3965 · 4270 · 5551 · 7930 · 8540 · 11102 · 15860 · 22204 · 27755 · 55510 (half) · 111020
Aliquot sum (sum of proper divisors): 180,628
Factor pairs (a × b = 111,020)
1 × 111020
2 × 55510
4 × 27755
5 × 22204
7 × 15860
10 × 11102
13 × 8540
14 × 7930
20 × 5551
26 × 4270
28 × 3965
35 × 3172
52 × 2135
61 × 1820
65 × 1708
70 × 1586
91 × 1220
122 × 910
130 × 854
140 × 793
182 × 610
244 × 455
260 × 427
305 × 364
First multiples
111,020 · 222,040 (double) · 333,060 · 444,080 · 555,100 · 666,120 · 777,140 · 888,160 · 999,180 · 1,110,200

Sums & aliquot sequence

As consecutive integers: 22,202 + 22,203 + 22,204 + 22,205 + 22,206 15,857 + 15,858 + … + 15,863 13,874 + 13,875 + … + 13,881 8,534 + 8,535 + … + 8,546
Aliquot sequence: 111,020 180,628 180,684 356,916 613,452 1,062,068 1,092,364 1,261,204 1,344,364 1,544,396 1,708,084 1,775,564 1,839,376 2,606,768 2,476,240 3,726,488 3,293,512 — unresolved within range

Continued fraction of √n

√111,020 = [333; (5, 11, 1, 2, 3, 166, 3, 2, 1, 11, 5, 666)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred eleven thousand twenty
Ordinal
111020th
Binary
11011000110101100
Octal
330654
Hexadecimal
0x1B1AC
Base64
AbGs
One's complement
4,294,856,275 (32-bit)
Scientific notation
1.1102 × 10⁵
As a duration
111,020 s = 1 day, 6 hours, 50 minutes, 20 seconds
In other bases
ternary (3) 12122021212
quaternary (4) 123012230
quinary (5) 12023040
senary (6) 2213552
septenary (7) 641450
nonary (9) 178255
undecimal (11) 76458
duodecimal (12) 542b8
tridecimal (13) 3b6c0
tetradecimal (14) 2c660
pentadecimal (15) 22d65

As an angle

111,020° = 308 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓎆𓎆
Greek (Milesian)
͵ριακʹ
Mayan (base 20)
𝋭·𝋱·𝋫·𝋠
Chinese
一十一萬一千零二十
Chinese (financial)
壹拾壹萬壹仟零貳拾
In other modern scripts
Eastern Arabic ١١١٠٢٠ Devanagari १११०२० Bengali ১১১০২০ Tamil ௧௧௧௦௨௦ Thai ๑๑๑๐๒๐ Tibetan ༡༡༡༠༢༠ Khmer ១១១០២០ Lao ໑໑໑໐໒໐ Burmese ၁၁၁၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 111020, here are decompositions:

  • 31 + 110989 = 111020
  • 43 + 110977 = 111020
  • 73 + 110947 = 111020
  • 97 + 110923 = 111020
  • 103 + 110917 = 111020
  • 139 + 110881 = 111020
  • 157 + 110863 = 111020
  • 199 + 110821 = 111020

Showing the first eight; more decompositions exist.

Unicode codepoint
𛆬
Nushu Character-1B1Ac
U+1B1AC
Other letter (Lo)

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

Hex color
#01B1AC
RGB(1, 177, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.177.172.

Address
0.1.177.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.177.172

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 111,020 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 111020 first appears in π at position 276,063 of the decimal expansion (the 276,063ordinal-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.