Number

1,100

1,100 is a composite number, even, a calendar year.

1,100 (one thousand one hundred) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 11. Its proper divisors sum to 1,504, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MC and in binary, 10001001100.

Abundant Number Cube-Free Evil Number Flippable Gapful Number Harshad / Niven Practical Number Preferred Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,088 1,089 1,090 1,091 1,092 1,093 1,094 1,095 1,096 1,097 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

less more

Notable events — 1100 AD

Aug 5 Henry I is crowned king of England.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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: Monday
January 1, 1100
Ended on: Monday
December 31, 1100
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1100s
1100–1109
Century: 11th century
1001–1100
Millennium: 2nd millennium
1001–2000
Years ago: 926
926 years before 2026.

In other calendars

Hebrew: 4860 / 4861 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 493 / 494 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Dragon
Sexagenary cycle position 17 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1643 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 478 / 479 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1092 / 1093 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1022 / 1021 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 2
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 11 bits
Reversed: 11
Flips to (rotate 180°): 11
Recamán's sequence: a(1,972) = 1,100
Square (n²): 1,210,000
Cube (n³): 1,331,000,000
Divisor count: 18
σ(n) — sum of divisors: 2,604
φ(n) — Euler's totient: 400
Sum of prime factors: 25

Primality

Prime factorization: 2 ² × 5 ² × 11

Nearest primes: 1,097 (−3) · 1,103 (+3)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 25 · 44 · 50 · 55 · 100 · 110 · 220 · 275 · 550 (half) · 1100

Aliquot sum (sum of proper divisors): 1,504

Factor pairs (a × b = 1,100)

1 × 1100

2 × 550

4 × 275

5 × 220

10 × 110

11 × 100

20 × 55

22 × 50

25 × 44

First multiples

1,100 · 2,200 (double) · 3,300 · 4,400 · 5,500 · 6,600 · 7,700 · 8,800 · 9,900 · 11,000

Sums & aliquot sequence

As consecutive integers: 218 + 219 + 220 + 221 + 222 134 + 135 + … + 141 95 + 96 + … + 105 32 + 33 + … + 56

Aliquot sequence: 1,100 → 1,504 → 1,520 → 2,200 → 3,380 → 4,306 → 2,156 → 2,632 → 3,128 → 3,352 → 2,948 → 2,764 → 2,080 → 3,212 → 3,004 → 2,260 → 2,528 — unresolved within range

Continued fraction of √n

√1,100 = [33; (6, 66)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred
Ordinal: 1100th
Roman numeral: MC
Binary: 10001001100
Octal: 2114
Hexadecimal: 0x44C
Base64: BEw=
One's complement: 64,435 (16-bit)
Scientific notation: 1.1 × 10³
As a duration: 1,100 s = 18 minutes, 20 seconds

In other bases

ternary (3) 1111202

quaternary (4) 101030

quinary (5) 13400

senary (6) 5032

septenary (7) 3131

nonary (9) 1452

undecimal (11) 910

duodecimal (12) 778

tridecimal (13) 668

tetradecimal (14) 588

pentadecimal (15) 4d5

As an angle

1,100° = 3 × 360° + 20°

20° ≈ 0.349 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢
Greek (Milesian): ͵αρʹ
Mayan (base 20): 𝋢·𝋯·𝋠
Chinese: 一千一百
Chinese (financial): 壹仟壹佰

In other modern scripts

Eastern Arabic ١١٠٠ Devanagari ११०० Bengali ১১০০ Tamil ௧௧௦௦ Thai ๑๑๐๐ Tibetan ༡༡༠༠ Khmer ១១០០ Lao ໑໑໐໐ Burmese ၁၁၀၀

Digit at this position in famous constants

π — Pi (π): Digit 1,100 = 5
e — Euler's number (e): Digit 1,100 = 6
φ — Golden ratio (φ): Digit 1,100 = 9
√2 — Pythagoras's (√2): Digit 1,100 = 7
ln 2 — Natural log of 2: Digit 1,100 = 8
γ — Euler-Mascheroni (γ): Digit 1,100 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1100, here are decompositions:

3 + 1097 = 1100
7 + 1093 = 1100
13 + 1087 = 1100
31 + 1069 = 1100
37 + 1063 = 1100
61 + 1039 = 1100
67 + 1033 = 1100
79 + 1021 = 1100

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Small Letter Soft Sign

U+044C

Lowercase letter (Ll)

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

Lookup U+044C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00044C

RGB(0, 4, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.76.

Address: 0.0.4.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.76

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

Musical pitch

Heard as a frequency, 1,100 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, -14¢)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, +24¢)
Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, -12¢)

Position in π

The digit sequence 1100 first appears in π at position 3,847 of the decimal expansion (the 3,847ordinal-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 1100 on Pi Search ↗