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110,090

110,090 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.).

110,090 (one hundred ten thousand ninety) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 101 × 109. Written other ways, in hexadecimal, 0x1AE0A.

Cube-Free Deficient Number Evil Number Flippable Gapful Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
90,011
Flips to (rotate 180°)
60,011
Recamán's sequence
a(249,116) = 110,090
Square (n²)
12,119,808,100
Cube (n³)
1,334,269,673,729,000
Divisor count
16
σ(n) — sum of divisors
201,960
φ(n) — Euler's totient
43,200
Sum of prime factors
217

Primality

Prime factorization: 2 × 5 × 101 × 109

Nearest primes: 110,083 (−7) · 110,119 (+29)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 101 · 109 · 202 · 218 · 505 · 545 · 1010 · 1090 · 11009 · 22018 · 55045 (half) · 110090
Aliquot sum (sum of proper divisors): 91,870
Factor pairs (a × b = 110,090)
1 × 110090
2 × 55045
5 × 22018
10 × 11009
101 × 1090
109 × 1010
202 × 545
218 × 505
First multiples
110,090 · 220,180 (double) · 330,270 · 440,360 · 550,450 · 660,540 · 770,630 · 880,720 · 990,810 · 1,100,900

Sums & aliquot sequence

As a sum of two squares: 23² + 331² = 43² + 329² = 163² + 289² = 217² + 251²
As consecutive integers: 27,521 + 27,522 + 27,523 + 27,524 22,016 + 22,017 + 22,018 + 22,019 + 22,020 5,495 + 5,496 + … + 5,514 1,040 + 1,041 + … + 1,140
Aliquot sequence: 110,090 91,870 73,514 56,086 31,034 16,486 8,246 7,114 3,560 4,540 5,036 3,784 4,136 4,504 3,956 3,436 2,584 — unresolved within range

Continued fraction of √n

√110,090 = [331; (1, 3, 1, 20, 1, 1, 1, 1, 5, 1, 1, 1, 12, 1, 8, 2, 2, 1, 1, 1, 1, 2, 2, 8, …)]

Period length 39 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand ninety
Ordinal
110090th
Binary
11010111000001010
Octal
327012
Hexadecimal
0x1AE0A
Base64
Aa4K
One's complement
4,294,857,205 (32-bit)
Scientific notation
1.1009 × 10⁵
As a duration
110,090 s = 1 day, 6 hours, 34 minutes, 50 seconds
In other bases
ternary (3) 12121000102
quaternary (4) 122320022
quinary (5) 12010330
senary (6) 2205402
septenary (7) 635651
nonary (9) 177012
undecimal (11) 75792
duodecimal (12) 53862
tridecimal (13) 3b156
tetradecimal (14) 2c198
pentadecimal (15) 22945

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριϟʹ
Mayan (base 20)
𝋭·𝋯·𝋤·𝋪
Chinese
一十一萬零九十
Chinese (financial)
壹拾壹萬零玖拾
In other modern scripts
Eastern Arabic ١١٠٠٩٠ Devanagari ११००९० Bengali ১১০০৯০ Tamil ௧௧௦௦௯௦ Thai ๑๑๐๐๙๐ Tibetan ༡༡༠༠༩༠ Khmer ១១០០៩០ Lao ໑໑໐໐໙໐ Burmese ၁၁၀၀၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110090, here are decompositions:

  • 7 + 110083 = 110090
  • 31 + 110059 = 110090
  • 67 + 110023 = 110090
  • 73 + 110017 = 110090
  • 103 + 109987 = 110090
  • 193 + 109897 = 110090
  • 199 + 109891 = 110090
  • 241 + 109849 = 110090

Showing the first eight; more decompositions exist.

Hex color
#01AE0A
RGB(1, 174, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.10.

Address
0.1.174.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.174.10

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 110,090 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 110090 first appears in π at position 769,663 of the decimal expansion (the 769,663ordinal-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.