number.wiki
Number

110

110 is a composite number, even, a calendar year.

110 (one hundred ten) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 5 × 11. Written other ways, in Roman numerals it is CX and in binary, 1101110.

Arithmetic Number Cube-Free Deficient Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Preferred Number Pronic / Oblong Recamán's Sequence Self Number Sphenic Number Squarefree Year

Interestingness

11 notable facts · grade A
less more

Historical context — 110 AD

Calendar year

Year 110 (CX) was a common year starting on Tuesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 110 BC

Calendar year

Year 110 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Wednesday
January 1, 110
Ended on
Wednesday
December 31, 110
Friday the 13ths
1
One Friday the 13th this year.
Decade
110s
110–119
Century
2nd century
101–200
Millennium
1st millennium
1–1000
Years ago
1,916
1916 years before 2026.

In other calendars

Hebrew
3870 / 3871 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Metal zodiac:Dog
Sexagenary cycle position 47 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
653 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
102 / 103 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
32 / 31 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
2
Digit product
0
Digital root
2
Palindrome
No
Bit width
7 bits
Reversed
11
Flips to (rotate 180°)
11
Recamán's sequence
a(367) = 110
Square (n²)
12,100
Cube (n³)
1,331,000
Divisor count
8
σ(n) — sum of divisors
216
φ(n) — Euler's totient
40
Sum of prime factors
18

Primality

Prime factorization: 2 × 5 × 11

Nearest primes: 109 (−1) · 113 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 5 · 10 · 11 · 22 · 55 (half) · 110
Aliquot sum (sum of proper divisors): 106
Factor pairs (a × b = 110)
1 × 110
2 × 55
5 × 22
10 × 11
First multiples
110 · 220 (double) · 330 · 440 · 550 · 660 · 770 · 880 · 990 · 1,100

Sums & aliquot sequence

As consecutive integers: 26 + 27 + 28 + 29 20 + 21 + 22 + 23 + 24 5 + 6 + … + 15
Aliquot sequence: 110 106 56 64 63 41 1 0 — terminates at zero

Continued fraction of √n

√110 = [10; (2, 20)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred ten
Ordinal
110th
Roman numeral
CX
Binary
1101110
Octal
156
Hexadecimal
0x6E
Base64
bg==
One's complement
145 (8-bit)
Scientific notation
1.1 × 10²
As a duration
110 s = 1 minute, 50 seconds
In other bases
ternary (3) 11002
quaternary (4) 1232
quinary (5) 420
senary (6) 302
septenary (7) 215
nonary (9) 132
undecimal (11) a0
duodecimal (12) 92
tridecimal (13) 86
tetradecimal (14) 7c
pentadecimal (15) 75

As an angle

110°
110° ≈ 1.92 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓍢𓎆
Greek (Milesian)
ριʹ
Mayan (base 20)
𝋥·𝋪
Chinese
一百一十
Chinese (financial)
壹佰壹拾
In other modern scripts
Eastern Arabic ١١٠ Devanagari ११० Bengali ১১০ Tamil ௧௧௦ Thai ๑๑๐ Tibetan ༡༡༠ Khmer ១១០ Lao ໑໑໐ Burmese ၁၁၀

Digit at this position in famous constants

π — Pi (π)
Digit 110 = 5
e — Euler's number (e)
Digit 110 = 9
φ — Golden ratio (φ)
Digit 110 = 0
√2 — Pythagoras's (√2)
Digit 110 = 2
ln 2 — Natural log of 2
Digit 110 = 0
γ — Euler-Mascheroni (γ)
Digit 110 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110, here are decompositions:

  • 3 + 107 = 110
  • 7 + 103 = 110
  • 13 + 97 = 110
  • 31 + 79 = 110
  • 37 + 73 = 110
  • 43 + 67 = 110
ASCII character

As an ASCII codepoint, 110 is n. Printable ASCII character n.

Network port

TCP/UDP port 110 is the well-known port for POP3 — Post Office Protocol v3 — mail retrieval.

Hex color
#00006E
RGB(0, 0, 110)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.110.

Address
0.0.0.110
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.110

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 110 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A2 (110 Hz, exact)
  • Scientific pitch (C4 = 256 Hz): A2 (107.6 Hz, +38¢)
  • Baroque pitch (A4 = 415 Hz): A♯2 (109.9 Hz, +1¢)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 110 is D8 (4698.6 Hz at concert pitch).

Atomic number

On the periodic table, atomic number 110 is Darmstadtium (Ds) — period 7.

Food additive (E-number)

On an ingredients label, E110 is Sunset Yellow FCF, a food colour.

Related reading

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