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Number

1,091

1,091 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Emirp Evil Number Flippable Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime Year

Historical context — 1091 AD

Calendar year

Year 1091 (MXCI) was a common year starting on Wednesday 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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1091
Ended on
Thursday
December 31, 1091
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1090s
1090–1099
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
935
935 years before 2026.

In other calendars

Hebrew
4851 / 4852 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
483 / 484 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Goat
Sexagenary cycle position 8 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1634 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
469 / 470 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1083 / 1084 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1013 / 1012 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
1,901
Flips to (rotate 180°)
1,601
Recamán's sequence
a(290) = 1,091
Square (n²)
1,190,281
Cube (n³)
1,298,596,571
Divisor count
2
σ(n) — sum of divisors
1,092
φ(n) — Euler's totient
1,090

Primality

1,091 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1091
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,091)
1 × 1091
First multiples
1,091 · 2,182 (double) · 3,273 · 4,364 · 5,455 · 6,546 · 7,637 · 8,728 · 9,819 · 10,910

Sums & aliquot sequence

As consecutive integers: 545 + 546

Representations

In words
one thousand ninety-one
Ordinal
1091st
Roman numeral
MXCI
Binary
10001000011
Octal
2103
Hexadecimal
0x443
Base64
BEM=
One's complement
64,444 (16-bit)
In other bases
ternary (3) 1111102
quaternary (4) 101003
quinary (5) 13331
senary (6) 5015
septenary (7) 3116
nonary (9) 1442
undecimal (11) 902
duodecimal (12) 76b
tridecimal (13) 65c
tetradecimal (14) 57d
pentadecimal (15) 4cb

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵αϟαʹ
Mayan (base 20)
𝋢·𝋮·𝋫
Chinese
一千零九十一
Chinese (financial)
壹仟零玖拾壹
In other modern scripts
Eastern Arabic ١٠٩١ Devanagari १०९१ Bengali ১০৯১ Tamil ௧௦௯௧ Thai ๑๐๙๑ Tibetan ༡༠༩༡ Khmer ១០៩១ Lao ໑໐໙໑ Burmese ၁၀၉၁

Digit at this position in famous constants

π — Pi (π)
Digit 1,091 = 2
e — Euler's number (e)
Digit 1,091 = 3
φ — Golden ratio (φ)
Digit 1,091 = 4
√2 — Pythagoras's (√2)
Digit 1,091 = 2
ln 2 — Natural log of 2
Digit 1,091 = 3
γ — Euler-Mascheroni (γ)
Digit 1,091 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,087 (gap of 4)
  • Next prime: 1,093 (gap of 2)

Pair status: twin with 1093, cousin with 1087.

Unicode codepoint
у
Cyrillic Small Letter U
U+0443
Lowercase letter (Ll)

UTF-8 encoding: D1 83 (2 bytes).

Hex color
#000443
RGB(0, 4, 67)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.67.

Address
0.0.4.67
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.67

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

Position in π

The digit sequence 1091 first appears in π at position 6,123 of the decimal expansion (the 6,123ordinal-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.