number.wiki
Number

1,113

1,113 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year Zuckerman Number

Historical context — 1113 AD

Calendar year

Year 1113 (MCXIII) was a common year starting on Wednesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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
Wednesday
January 1, 1113
Ended on
Wednesday
December 31, 1113
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
913
913 years before 2026.

In other calendars

Hebrew
4873 / 4874 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
506 / 507 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Snake
Sexagenary cycle position 30 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1656 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
491 / 492 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1105 / 1106 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1035 / 1034 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
6
Digit product
3
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
3,111
Recamán's sequence
a(1,946) = 1,113
Square (n²)
1,238,769
Cube (n³)
1,378,749,897
Divisor count
8
σ(n) — sum of divisors
1,728
φ(n) — Euler's totient
624
Sum of prime factors
63

Primality

Prime factorization: 3 × 7 × 53

Nearest primes: 1,109 (−4) · 1,117 (+4)

Divisors & multiples

All divisors (8)
1 · 3 · 7 · 21 · 53 · 159 · 371 · 1113
Aliquot sum (sum of proper divisors): 615
Factor pairs (a × b = 1,113)
1 × 1113
3 × 371
7 × 159
21 × 53
First multiples
1,113 · 2,226 (double) · 3,339 · 4,452 · 5,565 · 6,678 · 7,791 · 8,904 · 10,017 · 11,130

Sums & aliquot sequence

As consecutive integers: 556 + 557 370 + 371 + 372 183 + 184 + 185 + 186 + 187 + 188 156 + 157 + … + 162
Aliquot sequence: 1,113 615 393 135 105 87 33 15 9 4 3 1 0 — terminates at zero

Representations

In words
one thousand one hundred thirteen
Ordinal
1113th
Roman numeral
MCXIII
Binary
10001011001
Octal
2131
Hexadecimal
0x459
Base64
BFk=
One's complement
64,422 (16-bit)
In other bases
ternary (3) 1112020
quaternary (4) 101121
quinary (5) 13423
senary (6) 5053
septenary (7) 3150
nonary (9) 1466
undecimal (11) 922
duodecimal (12) 789
tridecimal (13) 678
tetradecimal (14) 597
pentadecimal (15) 4e3

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵αριγʹ
Mayan (base 20)
𝋢·𝋯·𝋭
Chinese
一千一百一十三
Chinese (financial)
壹仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١١١٣ Devanagari १११३ Bengali ১১১৩ Tamil ௧௧௧௩ Thai ๑๑๑๓ Tibetan ༡༡༡༣ Khmer ១១១៣ Lao ໑໑໑໓ Burmese ၁၁၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,113 = 5
e — Euler's number (e)
Digit 1,113 = 7
φ — Golden ratio (φ)
Digit 1,113 = 9
√2 — Pythagoras's (√2)
Digit 1,113 = 4
ln 2 — Natural log of 2
Digit 1,113 = 5
γ — Euler-Mascheroni (γ)
Digit 1,113 = 6

Also seen as

Unicode codepoint
љ
Cyrillic Small Letter Lje
U+0459
Lowercase letter (Ll)

UTF-8 encoding: D1 99 (2 bytes).

Hex color
#000459
RGB(0, 4, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.89.

Address
0.0.4.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.89

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

Position in π

The digit sequence 1113 first appears in π at position 3,503 of the decimal expansion (the 3,503ordinal-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.