Number

1,110

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

1,110 (one thousand one hundred ten) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 37. Its proper divisors sum to 1,626, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCX and in binary, 10001010110.

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

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

1,098 1,099 1,100 1,101 1,102 1,103 1,104 1,105 1,106 1,107 1,108 1,109 1,110 1,111 1,112 1,113 1,114 1,115 1,116 1,117 1,118 1,119 1,120 1,121 1,122

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Historical context — 1110 AD

Calendar year

Year 1110 (MCX) was a common year starting on Saturday of the Julian 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: 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

Continued fraction of √n

√1,110 = [33; (3, 6, 3, 66)]

Period length 4 — the block in parentheses repeats forever.

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)
Scientific notation: 1.11 × 10³
As a duration: 1,110 s = 18 minutes, 30 seconds

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

As an angle

1,110° = 3 × 360° + 30°

30° ≈ 0.524 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

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

Cyrillic Small Letter Byelorussian-Ukrainian I

U+0456

Lowercase letter (Ll)

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

Lookup U+0456 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,110 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, +2¢)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, +40¢)
Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, +3¢)

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.

Look up 1110 on Pi Search ↗