Number

1,012

1,012 is a composite number, even, a calendar year.

1,012 (one thousand twelve) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 11 × 23. Written other ways, in Roman numerals it is MXII and in binary, 1111110100.

Arithmetic Number Consecutive Digits Cube-Free Deficient Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,000 1,001 1,002 1,003 1,004 1,005 1,006 1,007 1,008 1,009 1,010 1,011 1,012 1,013 1,014 1,015 1,016 1,017 1,018 1,019 1,020 1,021 1,022 1,023 1,024

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Historical context — 1012 AD

Calendar year

Year 1012 (MXII) was a leap year starting on Tuesday of the Julian calendar.

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

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Wednesday
January 1, 1012
Ended on: Thursday
December 31, 1012
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: 1,014
1014 years before 2026.

In other calendars

Hebrew: 4772 / 4773 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 402 / 403 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Rat
Sexagenary cycle position 49 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1555 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 390 / 391 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1004 / 1005 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 934 / 933 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 10 bits
Reversed: 2,101
Recamán's sequence: a(4,395) = 1,012
Square (n²): 1,024,144
Cube (n³): 1,036,433,728
Divisor count: 12
σ(n) — sum of divisors: 2,016
φ(n) — Euler's totient: 440
Sum of prime factors: 38

Primality

Prime factorization: 2 ² × 11 × 23

Nearest primes: 1,009 (−3) · 1,013 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 11 · 22 · 23 · 44 · 46 · 92 · 253 · 506 (half) · 1012

Aliquot sum (sum of proper divisors): 1,004

Factor pairs (a × b = 1,012)

1 × 1012

2 × 506

4 × 253

11 × 92

22 × 46

23 × 44

First multiples

1,012 · 2,024 (double) · 3,036 · 4,048 · 5,060 · 6,072 · 7,084 · 8,096 · 9,108 · 10,120

Sums & aliquot sequence

As consecutive integers: 123 + 124 + … + 130 87 + 88 + … + 97 33 + 34 + … + 55

Aliquot sequence: 1,012 → 1,004 → 760 → 1,040 → 1,564 → 1,460 → 1,648 → 1,576 → 1,394 → 874 → 566 → 286 → 218 → 112 → 136 → 134 → 70 — unresolved within range

Continued fraction of √n

√1,012 = [31; (1, 4, 3, 6, 1, 3, 8, 1, 4, 1, 8, 3, 1, 6, 3, 4, 1, 62)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one thousand twelve
Ordinal: 1012th
Roman numeral: MXII
Binary: 1111110100
Octal: 1764
Hexadecimal: 0x3F4
Base64: A/Q=
One's complement: 64,523 (16-bit)
Scientific notation: 1.012 × 10³
As a duration: 1,012 s = 16 minutes, 52 seconds

In other bases

ternary (3) 1101111

quaternary (4) 33310

quinary (5) 13022

senary (6) 4404

septenary (7) 2644

nonary (9) 1344

undecimal (11) 840

duodecimal (12) 704

tridecimal (13) 5cb

tetradecimal (14) 524

pentadecimal (15) 477

As an angle

1,012° = 2 × 360° + 292°

292° ≈ 5.096 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓎆𓏺𓏺
Greek (Milesian): ͵αιβʹ
Mayan (base 20): 𝋢·𝋪·𝋬
Chinese: 一千零一十二
Chinese (financial): 壹仟零壹拾貳

In other modern scripts

Eastern Arabic ١٠١٢ Devanagari १०१२ Bengali ১০১২ Tamil ௧௦௧௨ Thai ๑๐๑๒ Tibetan ༡༠༡༢ Khmer ១០១២ Lao ໑໐໑໒ Burmese ၁၀၁၂

Digit at this position in famous constants

π — Pi (π): Digit 1,012 = 1
e — Euler's number (e): Digit 1,012 = 9
φ — Golden ratio (φ): Digit 1,012 = 6
√2 — Pythagoras's (√2): Digit 1,012 = 6
ln 2 — Natural log of 2: Digit 1,012 = 6
γ — Euler-Mascheroni (γ): Digit 1,012 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012, here are decompositions:

3 + 1009 = 1012
29 + 983 = 1012
41 + 971 = 1012
59 + 953 = 1012
71 + 941 = 1012
83 + 929 = 1012
101 + 911 = 1012
131 + 881 = 1012

Showing the first eight; more decompositions exist.

Unicode codepoint

Greek Capital Theta Symbol

U+03F4

Uppercase letter (Lu)

UTF-8 encoding: CF B4 (2 bytes).

Lookup U+03F4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003F4

RGB(0, 3, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.244.

Address: 0.0.3.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.244

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

Musical pitch

Heard as a frequency, 1,012 Hz is closest to:

Concert pitch (A4 = 440 Hz): B5 (987.8 Hz, +42¢)
Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, -20¢)
Baroque pitch (A4 = 415 Hz): C6 (987 Hz, +43¢)

Position in π

The digit sequence 1012 first appears in π at position 8,617 of the decimal expansion (the 8,617ordinal-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.

Look up 1012 on Pi Search ↗