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Number

1,019

1,019 is a prime, odd, a calendar year.

1,019 (one thousand nineteen) 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 MXIX and in binary, 1111111011.

Arithmetic Number Chen Prime Cube-Free Deficient Number Flippable Odious Number Prime Recamán's Sequence Safe Prime Sexy Prime Sophie Germain Prime Squarefree Twin Prime Year

Interestingness

11 notable facts · grade A
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Historical context — 1019 AD

Calendar year

Year 1019 (MXIX) was a common year starting on Thursday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

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
Friday
January 1, 1019
Ended on
Friday
December 31, 1019
Friday the 13ths
1
One Friday the 13th this year.
Decade
1010s
1010–1019
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
1,007
1007 years before 2026.

In other calendars

Hebrew
4779 / 4780 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
409 / 410 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Goat
Sexagenary cycle position 56 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1562 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
397 / 398 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1011 / 1012 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
941 / 940 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
10 bits
Reversed
9,101
Flips to (rotate 180°)
6,101
Recamán's sequence
a(4,381) = 1,019
Square (n²)
1,038,361
Cube (n³)
1,058,089,859
Divisor count
2
σ(n) — sum of divisors
1,020
φ(n) — Euler's totient
1,018

Primality

1,019 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1019
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,019)
1 × 1019
First multiples
1,019 · 2,038 (double) · 3,057 · 4,076 · 5,095 · 6,114 · 7,133 · 8,152 · 9,171 · 10,190

Sums & aliquot sequence

As consecutive integers: 509 + 510

Continued fraction of √n

√1,019 = [31; (1, 11, 1, 3, 1, 1, 1, 3, 8, 1, 5, 2, 31, 2, 5, 1, 8, 3, 1, 1, 1, 3, 1, 11, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one thousand nineteen
Ordinal
1019th
Roman numeral
MXIX
Binary
1111111011
Octal
1773
Hexadecimal
0x3FB
Base64
A/s=
One's complement
64,516 (16-bit)
Scientific notation
1.019 × 10³
As a duration
1,019 s = 16 minutes, 59 seconds
In other bases
ternary (3) 1101202
quaternary (4) 33323
quinary (5) 13034
senary (6) 4415
septenary (7) 2654
nonary (9) 1352
undecimal (11) 847
duodecimal (12) 70b
tridecimal (13) 605
tetradecimal (14) 52b
pentadecimal (15) 47e

As an angle

1,019° = 2 × 360° + 299°
299° ≈ 5.219 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αιθʹ
Mayan (base 20)
𝋢·𝋪·𝋳
Chinese
一千零一十九
Chinese (financial)
壹仟零壹拾玖
In other modern scripts
Eastern Arabic ١٠١٩ Devanagari १०१९ Bengali ১০১৯ Tamil ௧௦௧௯ Thai ๑๐๑๙ Tibetan ༡༠༡༩ Khmer ១០១៩ Lao ໑໐໑໙ Burmese ၁၀၁၉

Digit at this position in famous constants

π — Pi (π)
Digit 1,019 = 8
e — Euler's number (e)
Digit 1,019 = 3
φ — Golden ratio (φ)
Digit 1,019 = 0
√2 — Pythagoras's (√2)
Digit 1,019 = 2
ln 2 — Natural log of 2
Digit 1,019 = 7
γ — Euler-Mascheroni (γ)
Digit 1,019 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,013 (gap of 6)
  • Next prime: 1,021 (gap of 2)

Pair status: twin with 1021, sexy with 1013.

Unicode codepoint
ϻ
Greek Small Letter San
U+03FB
Lowercase letter (Ll)

UTF-8 encoding: CF BB (2 bytes).

Hex color
#0003FB
RGB(0, 3, 251)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.251.

Address
0.0.3.251
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.251

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

Musical pitch

Heard as a frequency, 1,019 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, -46¢ — about midway to B5)
  • Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, -8¢)
  • Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, -45¢ — about midway to C6)
Position in π

The digit sequence 1019 first appears in π at position 15,482 of the decimal expansion (the 15,482ordinal-suffix:nd 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.