number.wiki
Number

1,012

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

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

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 · English fallback 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

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)
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

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
ϴ
Greek Capital Theta Symbol
U+03F4
Uppercase letter (Lu)

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

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.

Possible US bank routing number

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

Routing number
000001012
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 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.