Number

110

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

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

Historical context — 110 AD

Calendar year

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

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Historical context — 110 BC

Calendar year

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

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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

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)

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

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.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number

000000110

Federal Reserve

United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Look up on FedACH (official) ↗ Search Google for routing number 000000110 ↗