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Number

1,112

1,112 is a composite number, even, a calendar year.

Deficient Number Evil Number Happy Number Recamán's Sequence Year Zuckerman Number

Historical context — 1112 AD

Calendar year

Year 1112 (MCXII) was a leap year starting on Monday 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
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Monday
January 1, 1112
Ended on
Tuesday
December 31, 1112
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
914
914 years before 2026.

In other calendars

Hebrew
4872 / 4873 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
505 / 506 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1655 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
490 / 491 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1104 / 1105 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1034 / 1033 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
5
Digit product
2
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
2,111
Recamán's sequence
a(1,948) = 1,112
Square (n²)
1,236,544
Cube (n³)
1,375,036,928
Divisor count
8
σ(n) — sum of divisors
2,100
φ(n) — Euler's totient
552
Sum of prime factors
145

Primality

Prime factorization: 2 3 × 139

Nearest primes: 1,109 (−3) · 1,117 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 139 · 278 · 556 (half) · 1112
Aliquot sum (sum of proper divisors): 988
Factor pairs (a × b = 1,112)
1 × 1112
2 × 556
4 × 278
8 × 139
First multiples
1,112 · 2,224 (double) · 3,336 · 4,448 · 5,560 · 6,672 · 7,784 · 8,896 · 10,008 · 11,120

Sums & aliquot sequence

As consecutive integers: 62 + 63 + … + 77
Aliquot sequence: 1,112 988 972 1,576 1,394 874 566 286 218 112 136 134 70 74 40 50 43 — unresolved within range

Representations

In words
one thousand one hundred twelve
Ordinal
1112th
Roman numeral
MCXII
Binary
10001011000
Octal
2130
Hexadecimal
0x458
Base64
BFg=
One's complement
64,423 (16-bit)
In other bases
ternary (3) 1112012
quaternary (4) 101120
quinary (5) 13422
senary (6) 5052
septenary (7) 3146
nonary (9) 1465
undecimal (11) 921
duodecimal (12) 788
tridecimal (13) 677
tetradecimal (14) 596
pentadecimal (15) 4e2

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓏺𓏺
Greek (Milesian)
͵αριβʹ
Mayan (base 20)
𝋢·𝋯·𝋬
Chinese
一千一百一十二
Chinese (financial)
壹仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ١١١٢ Devanagari १११२ Bengali ১১১২ Tamil ௧௧௧௨ Thai ๑๑๑๒ Tibetan ༡༡༡༢ Khmer ១១១២ Lao ໑໑໑໒ Burmese ၁၁၁၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,112 = 4
e — Euler's number (e)
Digit 1,112 = 5
φ — Golden ratio (φ)
Digit 1,112 = 4
√2 — Pythagoras's (√2)
Digit 1,112 = 9
ln 2 — Natural log of 2
Digit 1,112 = 6
γ — Euler-Mascheroni (γ)
Digit 1,112 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1112, here are decompositions:

  • 3 + 1109 = 1112
  • 19 + 1093 = 1112
  • 43 + 1069 = 1112
  • 61 + 1051 = 1112
  • 73 + 1039 = 1112
  • 79 + 1033 = 1112
  • 103 + 1009 = 1112
  • 193 + 919 = 1112

Showing the first eight; more decompositions exist.

Unicode codepoint
ј
Cyrillic Small Letter Je
U+0458
Lowercase letter (Ll)

UTF-8 encoding: D1 98 (2 bytes).

Hex color
#000458
RGB(0, 4, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.88.

Address
0.0.4.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.88

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

Position in π

The digit sequence 1112 first appears in π at position 12,701 of the decimal expansion (the 12,701ordinal-suffix:st 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.