1,131
1,131 is a composite number, odd, a calendar year.
1,131 (one thousand one hundred thirty-one) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 3 × 13 × 29. Written other ways, in Roman numerals it is MCXXXI and in binary, 10001101011.
Interestingness
Historical context — 1131 AD
Calendar year
Year 1131 (MCXXXI) was a common year starting on Thursday 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
-
53
Long year: contains 53 ISO weeks.
- Started on
-
Thursday
January 1, 1131
- Ended on
-
Thursday
December 31, 1131
- Friday the 13ths
-
3
3 Friday the 13ths this year.
- Decade
-
1130s
1130–1139
- Century
-
12th century
1101–1200
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
895
895 years before 2026.
In other calendars
- Hebrew
-
4891 / 4892 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
525 / 526 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Metal zodiac:Pig
Sexagenary cycle position 48 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1674 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
509 / 510 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1123 / 1124 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1053 / 1052 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 3 × 13 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,131 = [33; (1, 1, 1, 2, 2, 1, 1, 4, 1, 1, 2, 2, 1, 1, 1, 66)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one thousand one hundred thirty-one
- Ordinal
- 1131st
- Roman numeral
- MCXXXI
- Binary
- 10001101011
- Octal
- 2153
- Hexadecimal
- 0x46B
- Base64
- BGs=
- One's complement
- 64,404 (16-bit)
- Scientific notation
- 1.131 × 10³
- As a duration
- 1,131 s = 18 minutes, 51 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓎆𓎆𓎆𓏺
- Greek (Milesian)
- ͵αρλαʹ
- Mayan (base 20)
- 𝋢·𝋰·𝋫
- Chinese
- 一千一百三十一
- Chinese (financial)
- 壹仟壹佰參拾壹
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,131 = 1
- e — Euler's number (e)
- Digit 1,131 = 7
- φ — Golden ratio (φ)
- Digit 1,131 = 3
- √2 — Pythagoras's (√2)
- Digit 1,131 = 8
- ln 2 — Natural log of 2
- Digit 1,131 = 1
- γ — Euler-Mascheroni (γ)
- Digit 1,131 = 2
Also seen as
UTF-8 encoding: D1 AB (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.107.
- Address
- 0.0.4.107
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.107
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,131 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, +34¢)
- Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, -28¢)
- Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, +36¢)
The digit sequence 1131 first appears in π at position 20,843 of the decimal expansion (the 20,843ordinal-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.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.