1,116
1,116 is a composite number, even, a calendar year.
Historical context — 1116 AD
Calendar year
Year 1116 (MCXVI) was a leap year starting on Saturday of the Julian calendar.
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Year facts
- Year type
-
Leap year
Divisible by 4 and not by 100; February has 29 days.
- Days in year
- 366
- ISO weeks
- 52
- Started on
-
Saturday
January 1, 1116
- Ended on
-
Sunday
December 31, 1116
- 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
-
910
910 years before 2026.
In other calendars
- Hebrew
-
4876 / 4877 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
509 / 510 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1659 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
494 / 495 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1108 / 1109 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1038 / 1037 Saka
Indian national calendar; year starts in March.
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 9
- Digit product
- 6
- Digital root
- 9
- Palindrome
- No
- Bit width
- 11 bits
- Reversed
- 6,111
- Flips to (rotate 180°)
- 9,111
- Recamán's sequence
- a(1,940) = 1,116
- Square (n²)
- 1,245,456
- Cube (n³)
- 1,389,928,896
- Divisor count
- 18
- σ(n) — sum of divisors
- 2,912
- φ(n) — Euler's totient
- 360
- Sum of prime factors
- 41
Primality
Prime factorization: 2 2 × 3 2 × 31
Divisors & multiples
Sums & aliquot sequence
Representations
- In words
- one thousand one hundred sixteen
- Ordinal
- 1116th
- Roman numeral
- MCXVI
- Binary
- 10001011100
- Octal
- 2134
- Hexadecimal
- 0x45C
- Base64
- BFw=
- One's complement
- 64,419 (16-bit)
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αριϛʹ
- Mayan (base 20)
- 𝋢·𝋯·𝋰
- Chinese
- 一千一百一十六
- Chinese (financial)
- 壹仟壹佰壹拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,116 = 5
- e — Euler's number (e)
- Digit 1,116 = 1
- φ — Golden ratio (φ)
- Digit 1,116 = 6
- √2 — Pythagoras's (√2)
- Digit 1,116 = 2
- ln 2 — Natural log of 2
- Digit 1,116 = 2
- γ — Euler-Mascheroni (γ)
- Digit 1,116 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1116, here are decompositions:
- 7 + 1109 = 1116
- 13 + 1103 = 1116
- 19 + 1097 = 1116
- 23 + 1093 = 1116
- 29 + 1087 = 1116
- 47 + 1069 = 1116
- 53 + 1063 = 1116
- 67 + 1049 = 1116
Showing the first eight; more decompositions exist.
UTF-8 encoding: D1 9C (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.92.
- Address
- 0.0.4.92
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.92
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 1116 first appears in π at position 3,992 of the decimal expansion (the 3,992ordinal-suffix:nd 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.