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118,118

118,118 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.).

118,118 (one hundred eighteen thousand one hundred eighteen) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 7 × 11 × 13 × 59. Its proper divisors sum to 123,802, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CD66.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Self Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
64
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
811,811
Flips to (rotate 180°)
811,811
Square (n²)
13,951,861,924
Cube (n³)
1,647,966,026,739,032
Divisor count
32
σ(n) — sum of divisors
241,920
φ(n) — Euler's totient
41,760
Sum of prime factors
92

Primality

Prime factorization: 2 × 7 × 11 × 13 × 59

Nearest primes: 118,093 (−25) · 118,127 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 7 · 11 · 13 · 14 · 22 · 26 · 59 · 77 · 91 · 118 · 143 · 154 · 182 · 286 · 413 · 649 · 767 · 826 · 1001 · 1298 · 1534 · 2002 · 4543 · 5369 · 8437 · 9086 · 10738 · 16874 · 59059 (half) · 118118
Aliquot sum (sum of proper divisors): 123,802
Factor pairs (a × b = 118,118)
1 × 118118
2 × 59059
7 × 16874
11 × 10738
13 × 9086
14 × 8437
22 × 5369
26 × 4543
59 × 2002
77 × 1534
91 × 1298
118 × 1001
143 × 826
154 × 767
182 × 649
286 × 413
First multiples
118,118 · 236,236 (double) · 354,354 · 472,472 · 590,590 · 708,708 · 826,826 · 944,944 · 1,063,062 · 1,181,180

Sums & aliquot sequence

As consecutive integers: 29,528 + 29,529 + 29,530 + 29,531 16,871 + 16,872 + … + 16,877 10,733 + 10,734 + … + 10,743 9,080 + 9,081 + … + 9,092
Aliquot sequence: 118,118 123,802 95,078 48,994 36,542 24,106 14,234 9,094 4,550 5,866 4,214 3,310 2,666 1,558 962 634 320 — unresolved within range

Continued fraction of √n

√118,118 = [343; (1, 2, 6, 2, 8, 2, 6, 2, 1, 686)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred eighteen thousand one hundred eighteen
Ordinal
118118th
Binary
11100110101100110
Octal
346546
Hexadecimal
0x1CD66
Base64
Ac1m
One's complement
4,294,849,177 (32-bit)
Scientific notation
1.18118 × 10⁵
As a duration
118,118 s = 1 day, 8 hours, 48 minutes, 38 seconds
In other bases
ternary (3) 20000000202
quaternary (4) 130311212
quinary (5) 12234433
senary (6) 2310502
septenary (7) 1001240
nonary (9) 200022
undecimal (11) 80820
duodecimal (12) 58432
tridecimal (13) 419c0
tetradecimal (14) 31090
pentadecimal (15) 24ee8

As an angle

118,118° = 328 × 360° + 38°
38° ≈ 0.663 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριηριηʹ
Mayan (base 20)
𝋮·𝋯·𝋥·𝋲
Chinese
一十一萬八千一百一十八
Chinese (financial)
壹拾壹萬捌仟壹佰壹拾捌
In other modern scripts
Eastern Arabic ١١٨١١٨ Devanagari ११८११८ Bengali ১১৮১১৮ Tamil ௧௧௮௧௧௮ Thai ๑๑๘๑๑๘ Tibetan ༡༡༨༡༡༨ Khmer ១១៨១១៨ Lao ໑໑໘໑໑໘ Burmese ၁၁၈၁၁၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 118118, here are decompositions:

  • 37 + 118081 = 118118
  • 61 + 118057 = 118118
  • 67 + 118051 = 118118
  • 127 + 117991 = 118118
  • 139 + 117979 = 118118
  • 181 + 117937 = 118118
  • 229 + 117889 = 118118
  • 241 + 117877 = 118118

Showing the first eight; more decompositions exist.

Unicode codepoint
𜵦
Block Octant-13567
U+1CD66
Other symbol (So)

UTF-8 encoding: F0 9C B5 A6 (4 bytes).

Hex color
#01CD66
RGB(1, 205, 102)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.205.102.

Address
0.1.205.102
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.205.102

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 118,118 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.