1,109
1,109 is a prime, odd, a calendar year.
1,109 (one thousand one hundred nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MCIX and in binary, 10001010101.
Interestingness
Historical context — 1109 AD
Calendar year
Year 1109 (MCIX) was a common year starting on Friday 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
-
Friday
January 1, 1109
- Ended on
-
Friday
December 31, 1109
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
1100s
1100–1109
- Century
-
12th century
1101–1200
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
917
917 years before 2026.
In other calendars
- Hebrew
-
4869 / 4870 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
502 / 503 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Earth zodiac:Ox
Sexagenary cycle position 26 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1652 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
487 / 488 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1101 / 1102 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1031 / 1030 Saka
Indian national calendar; year starts in March.
Properties
Primality
1,109 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,109 = [33; (3, 3, 5, 1, 3, 13, 16, 1, 1, 2, 1, 4, 2, 2, 4, 1, 2, 1, 1, 16, 13, 3, 1, 5, …)]
Period length 27 — the block in parentheses repeats forever.
Representations
- In words
- one thousand one hundred nine
- Ordinal
- 1109th
- Roman numeral
- MCIX
- Binary
- 10001010101
- Octal
- 2125
- Hexadecimal
- 0x455
- Base64
- BFU=
- One's complement
- 64,426 (16-bit)
- Scientific notation
- 1.109 × 10³
- As a duration
- 1,109 s = 18 minutes, 29 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αρθʹ
- Mayan (base 20)
- 𝋢·𝋯·𝋩
- Chinese
- 一千一百零九
- Chinese (financial)
- 壹仟壹佰零玖
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,109 = 2
- e — Euler's number (e)
- Digit 1,109 = 3
- φ — Golden ratio (φ)
- Digit 1,109 = 9
- √2 — Pythagoras's (√2)
- Digit 1,109 = 3
- ln 2 — Natural log of 2
- Digit 1,109 = 4
- γ — Euler-Mascheroni (γ)
- Digit 1,109 = 4
Also seen as
UTF-8 encoding: D1 95 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.85.
- Address
- 0.0.4.85
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.85
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,109 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, exact)
- Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, +38¢)
- Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, +2¢)
The digit sequence 1109 first appears in π at position 3,253 of the decimal expansion (the 3,253ordinal-suffix:rd 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.
Related reading
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.