1,011
1,011 is a composite number, odd, a calendar year.
1,011 (one thousand eleven) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 3 × 337. Written other ways, in Roman numerals it is MXI and in binary, 1111110011.
Interestingness
Historical context — 1011 AD
Calendar year
Year 1011 (MXI) 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
-
Tuesday
January 1, 1011
- Ended on
-
Tuesday
December 31, 1011
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1010s
1010–1019
- Century
-
11th century
1001–1100
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
1,015
1015 years before 2026.
In other calendars
- Hebrew
-
4771 / 4772 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
401 / 402 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
-
1554 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
389 / 390 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1003 / 1004 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
933 / 932 Saka
Indian national calendar; year starts in March.
Properties
- Parity
- Odd
- Digit count
- 4
- Digit sum
- 3
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 10 bits
- Reversed
- 1,101
- Flips to (rotate 180°)
- 1,101
- Recamán's sequence
- a(4,397) = 1,011
- Square (n²)
- 1,022,121
- Cube (n³)
- 1,033,364,331
- Divisor count
- 4
- σ(n) — sum of divisors
- 1,352
- φ(n) — Euler's totient
- 672
- Sum of prime factors
- 340
Primality
Prime factorization: 3 × 337
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,011 = [31; (1, 3, 1, 9, 1, 3, 1, 62)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one thousand eleven
- Ordinal
- 1011th
- Roman numeral
- MXI
- Binary
- 1111110011
- Octal
- 1763
- Hexadecimal
- 0x3F3
- Base64
- A/M=
- One's complement
- 64,524 (16-bit)
- Scientific notation
- 1.011 × 10³
- As a duration
- 1,011 s = 16 minutes, 51 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
- Egyptian hieroglyphic
- 𓆼𓎆𓏺
- Greek (Milesian)
- ͵αιαʹ
- Mayan (base 20)
- 𝋢·𝋪·𝋫
- Chinese
- 一千零一十一
- Chinese (financial)
- 壹仟零壹拾壹
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,011 = 0
- e — Euler's number (e)
- Digit 1,011 = 4
- φ — Golden ratio (φ)
- Digit 1,011 = 7
- √2 — Pythagoras's (√2)
- Digit 1,011 = 8
- ln 2 — Natural log of 2
- Digit 1,011 = 8
- γ — Euler-Mascheroni (γ)
- Digit 1,011 = 0
Also seen as
UTF-8 encoding: CF B3 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.243.
- Address
- 0.0.3.243
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.3.243
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,011 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B5 (987.8 Hz, +40¢)
- Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, -22¢)
- Baroque pitch (A4 = 415 Hz): C6 (987 Hz, +42¢)
The digit sequence 1011 first appears in π at position 3,845 of the decimal expansion (the 3,845ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.