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110,124

110,124 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.).

110,124 (one hundred ten thousand one hundred twenty-four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 7 × 19 × 23. Its proper divisors sum to 239,316, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AE2C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
421,011
Recamán's sequence
a(249,048) = 110,124
Square (n²)
12,127,295,376
Cube (n³)
1,335,506,275,986,624
Divisor count
72
σ(n) — sum of divisors
349,440
φ(n) — Euler's totient
28,512
Sum of prime factors
59

Primality

Prime factorization: 2 2 × 3 2 × 7 × 19 × 23

Nearest primes: 110,119 (−5) · 110,129 (+5)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 19 · 21 · 23 · 28 · 36 · 38 · 42 · 46 · 57 · 63 · 69 · 76 · 84 · 92 · 114 · 126 · 133 · 138 · 161 · 171 · 207 · 228 · 252 · 266 · 276 · 322 · 342 · 399 · 414 · 437 · 483 · 532 · 644 · 684 · 798 · 828 · 874 · 966 · 1197 · 1311 · 1449 · 1596 · 1748 · 1932 · 2394 · 2622 · 2898 · 3059 · 3933 · 4788 · 5244 · 5796 · 6118 · 7866 · 9177 · 12236 · 15732 · 18354 · 27531 · 36708 · 55062 (half) · 110124
Aliquot sum (sum of proper divisors): 239,316
Factor pairs (a × b = 110,124)
1 × 110124
2 × 55062
3 × 36708
4 × 27531
6 × 18354
7 × 15732
9 × 12236
12 × 9177
14 × 7866
18 × 6118
19 × 5796
21 × 5244
23 × 4788
28 × 3933
36 × 3059
38 × 2898
42 × 2622
46 × 2394
57 × 1932
63 × 1748
69 × 1596
76 × 1449
84 × 1311
92 × 1197
114 × 966
126 × 874
133 × 828
138 × 798
161 × 684
171 × 644
207 × 532
228 × 483
252 × 437
266 × 414
276 × 399
322 × 342
First multiples
110,124 · 220,248 (double) · 330,372 · 440,496 · 550,620 · 660,744 · 770,868 · 880,992 · 991,116 · 1,101,240

Sums & aliquot sequence

As consecutive integers: 36,707 + 36,708 + 36,709 15,729 + 15,730 + … + 15,735 13,762 + 13,763 + … + 13,769 12,232 + 12,233 + … + 12,240
Aliquot sequence: 110,124 239,316 488,460 1,075,956 1,793,484 3,867,444 7,489,356 13,348,020 30,149,196 59,049,396 111,538,476 211,693,524 362,904,780 921,581,556 1,535,969,484 2,980,517,400 8,459,040,600 — unresolved within range

Continued fraction of √n

√110,124 = [331; (1, 5, 1, 1, 1, 3, 3, 1, 1, 1, 1, 4, 1, 6, 1, 72, 1, 6, 1, 4, 1, 1, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand one hundred twenty-four
Ordinal
110124th
Binary
11010111000101100
Octal
327054
Hexadecimal
0x1AE2C
Base64
Aa4s
One's complement
4,294,857,171 (32-bit)
Scientific notation
1.10124 × 10⁵
As a duration
110,124 s = 1 day, 6 hours, 35 minutes, 24 seconds
In other bases
ternary (3) 12121001200
quaternary (4) 122320230
quinary (5) 12010444
senary (6) 2205500
septenary (7) 636030
nonary (9) 177050
undecimal (11) 75813
duodecimal (12) 53890
tridecimal (13) 3b181
tetradecimal (14) 2c1c0
pentadecimal (15) 22969

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριρκδʹ
Mayan (base 20)
𝋭·𝋯·𝋦·𝋤
Chinese
一十一萬零一百二十四
Chinese (financial)
壹拾壹萬零壹佰貳拾肆
In other modern scripts
Eastern Arabic ١١٠١٢٤ Devanagari ११०१२४ Bengali ১১০১২৪ Tamil ௧௧௦௧௨௪ Thai ๑๑๐๑๒๔ Tibetan ༡༡༠༡༢༤ Khmer ១១០១២៤ Lao ໑໑໐໑໒໔ Burmese ၁၁၀၁၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110124, here are decompositions:

  • 5 + 110119 = 110124
  • 41 + 110083 = 110124
  • 61 + 110063 = 110124
  • 73 + 110051 = 110124
  • 101 + 110023 = 110124
  • 107 + 110017 = 110124
  • 137 + 109987 = 110124
  • 163 + 109961 = 110124

Showing the first eight; more decompositions exist.

Hex color
#01AE2C
RGB(1, 174, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.44.

Address
0.1.174.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.174.44

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 110,124 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.