Number

1,111

1,111 is a composite number, odd, a calendar year.

1,111 (one thousand one hundred eleven) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 11 × 101. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is MCXI and in binary, 10001010111.

Arithmetic Number Cube-Free Deficient Number Evil Number Flippable Gapful Number Palindrome Recamán's Sequence Repdigit Repunit Self Number Semiprime Smith Number Squarefree Strobogrammatic Year Zuckerman Number

Interestingness

★ ★ ★ ★ ★

14 notable facts · grade A

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 1,113 1,114 1,115 1,116 1,117 1,118 1,119 1,120 1,121 1,122 1,123

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Historical context — 1111 AD

Calendar year

Year 1111 (MCXI) was a common year starting on Sunday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

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: Sunday
January 1, 1111
Ended on: Sunday
December 31, 1111
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1110s
1110–1119
Century: 12th century
1101–1200
Millennium: 2nd millennium
1001–2000
Years ago: 915
915 years before 2026.

In other calendars

Hebrew: 4871 / 4872 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 504 / 505 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Rabbit
Sexagenary cycle position 28 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1654 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 489 / 490 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1103 / 1104 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1033 / 1032 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 4
Digit product: 1
Digital root: 4
Palindrome: Yes
Bit width: 11 bits
Recamán's sequence: a(1,950) = 1,111
Square (n²): 1,234,321
Cube (n³): 1,371,330,631
Divisor count: 4
σ(n) — sum of divisors: 1,224
φ(n) — Euler's totient: 1,000
Sum of prime factors: 112

Primality

Prime factorization: 11 × 101

Nearest primes: 1,109 (−2) · 1,117 (+6)

Divisors & multiples

All divisors (4)

1 · 11 · 101 · 1111

Aliquot sum (sum of proper divisors): 113

Factor pairs (a × b = 1,111)

1 × 1111

11 × 101

First multiples

1,111 · 2,222 (double) · 3,333 · 4,444 · 5,555 · 6,666 · 7,777 · 8,888 · 9,999 · 11,110

Sums & aliquot sequence

As consecutive integers: 555 + 556 96 + 97 + … + 106 40 + 41 + … + 61

Aliquot sequence: 1,111 → 113 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,111 = [33; (3, 66)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred eleven
Ordinal: 1111th
Roman numeral: MCXI
Binary: 10001010111
Octal: 2127
Hexadecimal: 0x457
Base64: BFc=
One's complement: 64,424 (16-bit)
Scientific notation: 1.111 × 10³
As a duration: 1,111 s = 18 minutes, 31 seconds

In other bases

ternary (3) 1112011

quaternary (4) 101113

quinary (5) 13421

senary (6) 5051

septenary (7) 3145

nonary (9) 1464

undecimal (11) 920

duodecimal (12) 787

tridecimal (13) 676

tetradecimal (14) 595

pentadecimal (15) 4e1

Palindromic in base 12, base 13, base 14

As an angle

1,111° = 3 × 360° + 31°

31° ≈ 0.541 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓍢𓎆𓏺
Greek (Milesian): ͵αριαʹ
Mayan (base 20): 𝋢·𝋯·𝋫
Chinese: 一千一百一十一
Chinese (financial): 壹仟壹佰壹拾壹

In other modern scripts

Eastern Arabic ١١١١ Devanagari ११११ Bengali ১১১১ Tamil ௧௧௧௧ Thai ๑๑๑๑ Tibetan ༡༡༡༡ Khmer ១១១១ Lao ໑໑໑໑ Burmese ၁၁၁၁

Digit at this position in famous constants

π — Pi (π): Digit 1,111 = 2
e — Euler's number (e): Digit 1,111 = 5
φ — Golden ratio (φ): Digit 1,111 = 9
√2 — Pythagoras's (√2): Digit 1,111 = 6
ln 2 — Natural log of 2: Digit 1,111 = 9
γ — Euler-Mascheroni (γ): Digit 1,111 = 0

Also seen as

Unicode codepoint

Cyrillic Small Letter Yi

U+0457

Lowercase letter (Ll)

UTF-8 encoding: D1 97 (2 bytes).

Lookup U+0457 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000457

RGB(0, 4, 87)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.87.

Address: 0.0.4.87
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.87

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

Musical pitch

Heard as a frequency, 1,111 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, +4¢)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, +41¢)
Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, +5¢)

Position in π

The digit sequence 1111 first appears in π at position 12,700 of the decimal expansion (the 12,700ordinal-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 1111 on Pi Search ↗