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Number

1,153

1,153 is a prime, odd, a calendar year.

Arithmetic Number Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime Year

Historical context — 1153 AD

Calendar year

Year 1153 (MCLIII) 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, 1153
Ended on
Thursday
December 31, 1153
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1150s
1150–1159
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
873
873 years before 2026.

In other calendars

Hebrew
4913 / 4914 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
547 / 548 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Rooster
Sexagenary cycle position 10 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1696 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
531 / 532 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1145 / 1146 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1075 / 1074 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
10
Digit product
15
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
3,511
Recamán's sequence
a(1,866) = 1,153
Square (n²)
1,329,409
Cube (n³)
1,532,808,577
Divisor count
2
σ(n) — sum of divisors
1,154
φ(n) — Euler's totient
1,152

Primality

1,153 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1153
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,153)
1 × 1153
First multiples
1,153 · 2,306 (double) · 3,459 · 4,612 · 5,765 · 6,918 · 8,071 · 9,224 · 10,377 · 11,530

Sums & aliquot sequence

As a sum of two squares: 8² + 33²
As consecutive integers: 576 + 577

Representations

In words
one thousand one hundred fifty-three
Ordinal
1153rd
Roman numeral
MCLIII
Binary
10010000001
Octal
2201
Hexadecimal
0x481
Base64
BIE=
One's complement
64,382 (16-bit)
In other bases
ternary (3) 1120201
quaternary (4) 102001
quinary (5) 14103
senary (6) 5201
septenary (7) 3235
nonary (9) 1521
undecimal (11) 959
duodecimal (12) 801
tridecimal (13) 6a9
tetradecimal (14) 5c5
pentadecimal (15) 51d

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵αρνγʹ
Mayan (base 20)
𝋢·𝋱·𝋭
Chinese
一千一百五十三
Chinese (financial)
壹仟壹佰伍拾參
In other modern scripts
Eastern Arabic ١١٥٣ Devanagari ११५३ Bengali ১১৫৩ Tamil ௧௧௫௩ Thai ๑๑๕๓ Tibetan ༡༡༥༣ Khmer ១១៥៣ Lao ໑໑໕໓ Burmese ၁၁၅၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,153 = 1
e — Euler's number (e)
Digit 1,153 = 5
φ — Golden ratio (φ)
Digit 1,153 = 3
√2 — Pythagoras's (√2)
Digit 1,153 = 0
ln 2 — Natural log of 2
Digit 1,153 = 5
γ — Euler-Mascheroni (γ)
Digit 1,153 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,151 (gap of 2)
  • Next prime: 1,163 (gap of 10)

Pair status: twin with 1151.

Unicode codepoint
ҁ
Cyrillic Small Letter Koppa
U+0481
Lowercase letter (Ll)

UTF-8 encoding: D2 81 (2 bytes).

Hex color
#000481
RGB(0, 4, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.129.

Address
0.0.4.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.129

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 1153 first appears in π at position 33,525 of the decimal expansion (the 33,525ordinal-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.