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Number

1,117

1,117 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Year

Historical context — 1117 AD

Calendar year

Year 1117 (MCXVII) was a common year starting on Monday 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
Monday
January 1, 1117
Ended on
Monday
December 31, 1117
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
909
909 years before 2026.

In other calendars

Hebrew
4877 / 4878 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
510 / 511 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Rooster
Sexagenary cycle position 34 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1660 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
495 / 496 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1109 / 1110 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1039 / 1038 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
10
Digit product
7
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
7,111
Recamán's sequence
a(1,938) = 1,117
Square (n²)
1,247,689
Cube (n³)
1,393,668,613
Divisor count
2
σ(n) — sum of divisors
1,118
φ(n) — Euler's totient
1,116

Primality

1,117 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1117
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,117)
1 × 1117
First multiples
1,117 · 2,234 (double) · 3,351 · 4,468 · 5,585 · 6,702 · 7,819 · 8,936 · 10,053 · 11,170

Sums & aliquot sequence

As a sum of two squares: 21² + 26²
As consecutive integers: 558 + 559

Representations

In words
one thousand one hundred seventeen
Ordinal
1117th
Roman numeral
MCXVII
Binary
10001011101
Octal
2135
Hexadecimal
0x45D
Base64
BF0=
One's complement
64,418 (16-bit)
In other bases
ternary (3) 1112101
quaternary (4) 101131
quinary (5) 13432
senary (6) 5101
septenary (7) 3154
nonary (9) 1471
undecimal (11) 926
duodecimal (12) 791
tridecimal (13) 67c
tetradecimal (14) 59b
pentadecimal (15) 4e7

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αριζʹ
Mayan (base 20)
𝋢·𝋯·𝋱
Chinese
一千一百一十七
Chinese (financial)
壹仟壹佰壹拾柒
In other modern scripts
Eastern Arabic ١١١٧ Devanagari १११७ Bengali ১১১৭ Tamil ௧௧௧௭ Thai ๑๑๑๗ Tibetan ༡༡༡༧ Khmer ១១១៧ Lao ໑໑໑໗ Burmese ၁၁၁၇

Digit at this position in famous constants

π — Pi (π)
Digit 1,117 = 0
e — Euler's number (e)
Digit 1,117 = 6
φ — Golden ratio (φ)
Digit 1,117 = 5
√2 — Pythagoras's (√2)
Digit 1,117 = 4
ln 2 — Natural log of 2
Digit 1,117 = 5
γ — Euler-Mascheroni (γ)
Digit 1,117 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,109 (gap of 8)
  • Next prime: 1,123 (gap of 6)

Pair status: sexy with 1123.

Unicode codepoint
ѝ
Cyrillic Small Letter I With Grave
U+045D
Lowercase letter (Ll)

UTF-8 encoding: D1 9D (2 bytes).

Hex color
#00045D
RGB(0, 4, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.93.

Address
0.0.4.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.93

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

Position in π

The digit sequence 1117 first appears in π at position 153 of the decimal expansion (the 153ordinal-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.