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Number

1,109

1,109 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Emirp Flippable Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree Year

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

Parity
Odd
Digit count
4
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
9,011
Flips to (rotate 180°)
6,011
Recamán's sequence
a(1,954) = 1,109
Square (n²)
1,229,881
Cube (n³)
1,363,938,029
Divisor count
2
σ(n) — sum of divisors
1,110
φ(n) — Euler's totient
1,108

Primality

1,109 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1109
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,109)
1 × 1109
First multiples
1,109 · 2,218 (double) · 3,327 · 4,436 · 5,545 · 6,654 · 7,763 · 8,872 · 9,981 · 11,090

Sums & aliquot sequence

As a sum of two squares: 22² + 25²
As consecutive integers: 554 + 555

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)
In other bases
ternary (3) 1112002
quaternary (4) 101111
quinary (5) 13414
senary (6) 5045
septenary (7) 3143
nonary (9) 1462
undecimal (11) 919
duodecimal (12) 785
tridecimal (13) 674
tetradecimal (14) 593
pentadecimal (15) 4de

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
In other modern scripts
Eastern Arabic ١١٠٩ Devanagari ११०९ Bengali ১১০৯ Tamil ௧௧௦௯ Thai ๑๑๐๙ Tibetan ༡༡༠༩ Khmer ១១០៩ Lao ໑໑໐໙ Burmese ၁၁၀၉

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

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,103 (gap of 6)
  • Next prime: 1,117 (gap of 8)

Pair status: sexy with 1103.

Unicode codepoint
ѕ
Cyrillic Small Letter Dze
U+0455
Lowercase letter (Ll)

UTF-8 encoding: D1 95 (2 bytes).

Hex color
#000455
RGB(0, 4, 85)
IPv4 address

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.

Position in π

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.