1,151
1,151 is a prime, odd, a calendar year.
1,151 (one thousand one hundred fifty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MCLI and in binary, 10001111111.
Interestingness
Historical context — 1151 AD
Calendar year
Year 1151 (MCLI) 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, 1151
- Ended on
-
Monday
December 31, 1151
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1150s
1150–1159
- Century
-
12th century
1101–1200
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
875
875 years before 2026.
In other calendars
- Hebrew
-
4911 / 4912 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
545 / 546 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
-
1694 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
529 / 530 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1143 / 1144 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1073 / 1072 Saka
Indian national calendar; year starts in March.
Properties
Primality
1,151 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,151 = [33; (1, 12, 1, 1, 2, 2, 3, 6, 2, 33, 2, 6, 3, 2, 2, 1, 1, 12, 1, 66)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one thousand one hundred fifty-one
- Ordinal
- 1151st
- Roman numeral
- MCLI
- Binary
- 10001111111
- Octal
- 2177
- Hexadecimal
- 0x47F
- Base64
- BH8=
- One's complement
- 64,384 (16-bit)
- Scientific notation
- 1.151 × 10³
- As a duration
- 1,151 s = 19 minutes, 11 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺
- Greek (Milesian)
- ͵αρναʹ
- Mayan (base 20)
- 𝋢·𝋱·𝋫
- Chinese
- 一千一百五十一
- Chinese (financial)
- 壹仟壹佰伍拾壹
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,151 = 3
- e — Euler's number (e)
- Digit 1,151 = 6
- φ — Golden ratio (φ)
- Digit 1,151 = 4
- √2 — Pythagoras's (√2)
- Digit 1,151 = 8
- ln 2 — Natural log of 2
- Digit 1,151 = 8
- γ — Euler-Mascheroni (γ)
- Digit 1,151 = 3
Also seen as
UTF-8 encoding: D1 BF (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.127.
- Address
- 0.0.4.127
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.127
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,151 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, -35¢)
- Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, +2¢)
- Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, -34¢)
The digit sequence 1151 first appears in π at position 26,997 of the decimal expansion (the 26,997ordinal-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
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.