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120,110

120,110 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.).

120,110 (one hundred twenty thousand one hundred ten) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 5 × 12,011. Written other ways, in hexadecimal, 0x1D52E.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Happy Number Harshad / Niven Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
11,021
Recamán's sequence
a(239,876) = 120,110
Square (n²)
14,426,412,100
Cube (n³)
1,732,756,357,331,000
Divisor count
8
σ(n) — sum of divisors
216,216
φ(n) — Euler's totient
48,040
Sum of prime factors
12,018

Primality

Prime factorization: 2 × 5 × 12011

Nearest primes: 120,103 (−7) · 120,121 (+11)

Divisors & multiples

All divisors (8)
1 · 2 · 5 · 10 · 12011 · 24022 · 60055 (half) · 120110
Aliquot sum (sum of proper divisors): 96,106
Factor pairs (a × b = 120,110)
1 × 120110
2 × 60055
5 × 24022
10 × 12011
First multiples
120,110 · 240,220 (double) · 360,330 · 480,440 · 600,550 · 720,660 · 840,770 · 960,880 · 1,080,990 · 1,201,100

Sums & aliquot sequence

As consecutive integers: 30,026 + 30,027 + 30,028 + 30,029 24,020 + 24,021 + 24,022 + 24,023 + 24,024 5,996 + 5,997 + … + 6,015
Aliquot sequence: 120,110 96,106 53,114 26,560 37,448 35,512 34,328 39,352 34,448 32,326 23,114 19,894 16,106 8,056 8,144 7,666 3,836 — unresolved within range

Continued fraction of √n

√120,110 = [346; (1, 1, 3, 7, 1, 3, 2, 2, 1, 6, 1, 9, 1, 3, 1, 5, 4, 3, 22, 19, 1, 3, 6, 1, …)]

Representations

In words
one hundred twenty thousand one hundred ten
Ordinal
120110th
Binary
11101010100101110
Octal
352456
Hexadecimal
0x1D52E
Base64
AdUu
One's complement
4,294,847,185 (32-bit)
Scientific notation
1.2011 × 10⁵
As a duration
120,110 s = 1 day, 9 hours, 21 minutes, 50 seconds
In other bases
ternary (3) 20002202112
quaternary (4) 131110232
quinary (5) 12320420
senary (6) 2324022
septenary (7) 1010114
nonary (9) 202675
undecimal (11) 82271
duodecimal (12) 59612
tridecimal (13) 42893
tetradecimal (14) 31ab4
pentadecimal (15) 258c5

As an angle

120,110° = 333 × 360° + 230°
230° ≈ 4.014 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓎆
Greek (Milesian)
͵ρκριʹ
Mayan (base 20)
𝋯·𝋠·𝋥·𝋪
Chinese
一十二萬零一百一十
Chinese (financial)
壹拾貳萬零壹佰壹拾
In other modern scripts
Eastern Arabic ١٢٠١١٠ Devanagari १२०११० Bengali ১২০১১০ Tamil ௧௨௦௧௧௦ Thai ๑๒๐๑๑๐ Tibetan ༡༢༠༡༡༠ Khmer ១២០១១០ Lao ໑໒໐໑໑໐ Burmese ၁၂၀၁၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120110, here are decompositions:

  • 7 + 120103 = 120110
  • 13 + 120097 = 120110
  • 19 + 120091 = 120110
  • 31 + 120079 = 120110
  • 43 + 120067 = 120110
  • 61 + 120049 = 120110
  • 127 + 119983 = 120110
  • 139 + 119971 = 120110

Showing the first eight; more decompositions exist.

Unicode codepoint
𝔮
Mathematical Fraktur Small Q
U+1D52E
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 94 AE (4 bytes).

Hex color
#01D52E
RGB(1, 213, 46)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.46.

Address
0.1.213.46
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.46

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 120,110 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 120110 first appears in π at position 392,623 of the decimal expansion (the 392,623ordinal-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.