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Number

1,110

1,110 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree Year

Historical context — 1110 AD

Calendar year

Year 1110 (MCX) was a common year starting on Saturday of the Julian 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
Saturday
January 1, 1110
Ended on
Saturday
December 31, 1110
Friday the 13ths
1
One Friday the 13th this year.
Decade
1110s
1110–1119
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
916
916 years before 2026.

In other calendars

Hebrew
4870 / 4871 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
503 / 504 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Tiger
Sexagenary cycle position 27 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1653 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
488 / 489 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1102 / 1103 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1032 / 1031 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
3
Digit product
0
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
111
Flips to (rotate 180°)
111
Recamán's sequence
a(1,952) = 1,110
Square (n²)
1,232,100
Cube (n³)
1,367,631,000
Divisor count
16
σ(n) — sum of divisors
2,736
φ(n) — Euler's totient
288
Sum of prime factors
47

Primality

Prime factorization: 2 × 3 × 5 × 37

Nearest primes: 1,109 (−1) · 1,117 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 37 · 74 · 111 · 185 · 222 · 370 · 555 (half) · 1110
Aliquot sum (sum of proper divisors): 1,626
Factor pairs (a × b = 1,110)
1 × 1110
2 × 555
3 × 370
5 × 222
6 × 185
10 × 111
15 × 74
30 × 37
First multiples
1,110 · 2,220 (double) · 3,330 · 4,440 · 5,550 · 6,660 · 7,770 · 8,880 · 9,990 · 11,100

Sums & aliquot sequence

As consecutive integers: 369 + 370 + 371 276 + 277 + 278 + 279 220 + 221 + 222 + 223 + 224 87 + 88 + … + 98
Aliquot sequence: 1,110 1,626 1,638 2,730 5,334 6,954 7,926 7,938 12,753 7,267 785 163 1 0 — terminates at zero

Representations

In words
one thousand one hundred ten
Ordinal
1110th
Roman numeral
MCX
Binary
10001010110
Octal
2126
Hexadecimal
0x456
Base64
BFY=
One's complement
64,425 (16-bit)
In other bases
ternary (3) 1112010
quaternary (4) 101112
quinary (5) 13420
senary (6) 5050
septenary (7) 3144
nonary (9) 1463
undecimal (11) 91a
duodecimal (12) 786
tridecimal (13) 675
tetradecimal (14) 594
pentadecimal (15) 4e0

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆼𓍢𓎆
Greek (Milesian)
͵αριʹ
Mayan (base 20)
𝋢·𝋯·𝋪
Chinese
一千一百一十
Chinese (financial)
壹仟壹佰壹拾
In other modern scripts
Eastern Arabic ١١١٠ Devanagari १११० Bengali ১১১০ Tamil ௧௧௧௦ Thai ๑๑๑๐ Tibetan ༡༡༡༠ Khmer ១១១០ Lao ໑໑໑໐ Burmese ၁၁၁၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,110 = 4
e — Euler's number (e)
Digit 1,110 = 5
φ — Golden ratio (φ)
Digit 1,110 = 4
√2 — Pythagoras's (√2)
Digit 1,110 = 9
ln 2 — Natural log of 2
Digit 1,110 = 3
γ — Euler-Mascheroni (γ)
Digit 1,110 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1110, here are decompositions:

  • 7 + 1103 = 1110
  • 13 + 1097 = 1110
  • 17 + 1093 = 1110
  • 19 + 1091 = 1110
  • 23 + 1087 = 1110
  • 41 + 1069 = 1110
  • 47 + 1063 = 1110
  • 59 + 1051 = 1110

Showing the first eight; more decompositions exist.

Unicode codepoint
і
Cyrillic Small Letter Byelorussian-Ukrainian I
U+0456
Lowercase letter (Ll)

UTF-8 encoding: D1 96 (2 bytes).

Hex color
#000456
RGB(0, 4, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.86.

Address
0.0.4.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.86

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

Position in π

The digit sequence 1110 first appears in π at position 22,897 of the decimal expansion (the 22,897ordinal-suffix:th 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.