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Number

1,151

1,151 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Emirp Evil Number Happy Number Prime Recamán's Sequence Squarefree Twin Prime Year

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

Parity
Odd
Digit count
4
Digit sum
8
Digit product
5
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
1,511
Recamán's sequence
a(1,870) = 1,151
Square (n²)
1,324,801
Cube (n³)
1,524,845,951
Divisor count
2
σ(n) — sum of divisors
1,152
φ(n) — Euler's totient
1,150

Primality

1,151 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1151
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,151)
1 × 1151
First multiples
1,151 · 2,302 (double) · 3,453 · 4,604 · 5,755 · 6,906 · 8,057 · 9,208 · 10,359 · 11,510

Sums & aliquot sequence

As consecutive integers: 575 + 576

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)
In other bases
ternary (3) 1120122
quaternary (4) 101333
quinary (5) 14101
senary (6) 5155
septenary (7) 3233
nonary (9) 1518
undecimal (11) 957
duodecimal (12) 7bb
tridecimal (13) 6a7
tetradecimal (14) 5c3
pentadecimal (15) 51b

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
In other modern scripts
Eastern Arabic ١١٥١ Devanagari ११५१ Bengali ১১৫১ Tamil ௧௧௫௧ Thai ๑๑๕๑ Tibetan ༡༡༥༡ Khmer ១១៥១ Lao ໑໑໕໑ Burmese ၁၁၅၁

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

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,129 (gap of 22)
  • Next prime: 1,153 (gap of 2)

Pair status: twin with 1153.

Unicode codepoint
ѿ
Cyrillic Small Letter Ot
U+047F
Lowercase letter (Ll)

UTF-8 encoding: D1 BF (2 bytes).

Hex color
#00047F
RGB(0, 4, 127)
IPv4 address

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.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001151
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

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.