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Number

1,102

1,102 is a composite number, even, a calendar year.

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

Historical context — 1102 AD

Calendar year

Year 1102 (MCII) 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
52
Started on
Wednesday
January 1, 1102
Ended on
Wednesday
December 31, 1102
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
924
924 years before 2026.

In other calendars

Hebrew
4862 / 4863 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
495 / 496 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Horse
Sexagenary cycle position 19 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1645 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
480 / 481 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1094 / 1095 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1024 / 1023 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
4
Digit product
0
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
2,011
Recamán's sequence
a(1,968) = 1,102
Square (n²)
1,214,404
Cube (n³)
1,338,273,208
Divisor count
8
σ(n) — sum of divisors
1,800
φ(n) — Euler's totient
504
Sum of prime factors
50

Primality

Prime factorization: 2 × 19 × 29

Nearest primes: 1,097 (−5) · 1,103 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 19 · 29 · 38 · 58 · 551 (half) · 1102
Aliquot sum (sum of proper divisors): 698
Factor pairs (a × b = 1,102)
1 × 1102
2 × 551
19 × 58
29 × 38
First multiples
1,102 · 2,204 (double) · 3,306 · 4,408 · 5,510 · 6,612 · 7,714 · 8,816 · 9,918 · 11,020

Sums & aliquot sequence

As consecutive integers: 274 + 275 + 276 + 277 49 + 50 + … + 67 24 + 25 + … + 52
Aliquot sequence: 1,102 698 352 404 310 266 214 110 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
one thousand one hundred two
Ordinal
1102nd
Roman numeral
MCII
Binary
10001001110
Octal
2116
Hexadecimal
0x44E
Base64
BE4=
One's complement
64,433 (16-bit)
In other bases
ternary (3) 1111211
quaternary (4) 101032
quinary (5) 13402
senary (6) 5034
septenary (7) 3133
nonary (9) 1454
undecimal (11) 912
duodecimal (12) 77a
tridecimal (13) 66a
tetradecimal (14) 58a
pentadecimal (15) 4d7

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓏺𓏺
Greek (Milesian)
͵αρβʹ
Mayan (base 20)
𝋢·𝋯·𝋢
Chinese
一千一百零二
Chinese (financial)
壹仟壹佰零貳
In other modern scripts
Eastern Arabic ١١٠٢ Devanagari ११०२ Bengali ১১০২ Tamil ௧௧௦௨ Thai ๑๑๐๒ Tibetan ༡༡༠༢ Khmer ១១០២ Lao ໑໑໐໒ Burmese ၁၁၀၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,102 = 5
e — Euler's number (e)
Digit 1,102 = 7
φ — Golden ratio (φ)
Digit 1,102 = 6
√2 — Pythagoras's (√2)
Digit 1,102 = 2
ln 2 — Natural log of 2
Digit 1,102 = 0
γ — Euler-Mascheroni (γ)
Digit 1,102 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1102, here are decompositions:

  • 5 + 1097 = 1102
  • 11 + 1091 = 1102
  • 41 + 1061 = 1102
  • 53 + 1049 = 1102
  • 71 + 1031 = 1102
  • 83 + 1019 = 1102
  • 89 + 1013 = 1102
  • 131 + 971 = 1102

Showing the first eight; more decompositions exist.

Unicode codepoint
ю
Cyrillic Small Letter Yu
U+044E
Lowercase letter (Ll)

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

Hex color
#00044E
RGB(0, 4, 78)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.78.

Address
0.0.4.78
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.78

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

Position in π

The digit sequence 1102 first appears in π at position 12,720 of the decimal expansion (the 12,720ordinal-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.