1,331
1,331 is a composite number, odd, a calendar year.
1,331 (one thousand three hundred thirty-one) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 11³. It is a perfect cube (11³). Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is MCCCXXXI and in binary, 10100110011.
Interestingness
Historical context — 1331 AD
Calendar year
Year 1331 (MCCCXXXI) was a common year starting on Tuesday 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, 1331
- Ended on
-
Monday
December 31, 1331
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1330s
1330–1339
- Century
-
14th century
1301–1400
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
695
695 years before 2026.
In other calendars
- Hebrew
-
5091 / 5092 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
731 / 732 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Metal zodiac:Goat
Sexagenary cycle position 8 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1874 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
709 / 710 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1323 / 1324 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1253 / 1252 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 11 3
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,331 = [36; (2, 14, 10, 2, 1, 4, 1, 1, 6, 1, 2, 1, 35, 1, 2, 1, 6, 1, 1, 4, 1, 2, 10, 14, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one thousand three hundred thirty-one
- Ordinal
- 1331st
- Roman numeral
- MCCCXXXI
- Binary
- 10100110011
- Octal
- 2463
- Hexadecimal
- 0x533
- Base64
- BTM=
- One's complement
- 64,204 (16-bit)
- Scientific notation
- 1.331 × 10³
- As a duration
- 1,331 s = 22 minutes, 11 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹 𒌋𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺
- Greek (Milesian)
- ͵ατλαʹ
- Mayan (base 20)
- 𝋣·𝋦·𝋫
- Chinese
- 一千三百三十一
- Chinese (financial)
- 壹仟參佰參拾壹
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,331 = 9
- e — Euler's number (e)
- Digit 1,331 = 2
- φ — Golden ratio (φ)
- Digit 1,331 = 0
- √2 — Pythagoras's (√2)
- Digit 1,331 = 2
- ln 2 — Natural log of 2
- Digit 1,331 = 6
- γ — Euler-Mascheroni (γ)
- Digit 1,331 = 5
Also seen as
UTF-8 encoding: D4 B3 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.51.
- Address
- 0.0.5.51
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.5.51
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,331 Hz is closest to:
- Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, +16¢)
- Scientific pitch (C4 = 256 Hz): F6 (1366.9 Hz, -46¢ — about midway to E6)
- Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, +18¢)
The digit sequence 1331 first appears in π at position 16,019 of the decimal expansion (the 16,019ordinal-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.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.