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Number

1,010

1,010 is a composite number, even, a calendar year.

Consecutive Digits Deficient Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 1010 AD

Calendar year

Year 1010 (MX) was a common year starting on Sunday 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
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, 1010
Ended on
Monday
December 31, 1010
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
1,016
1016 years before 2026.

In other calendars

Hebrew
4770 / 4771 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
400 / 401 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Dog
Sexagenary cycle position 47 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1553 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
388 / 389 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1002 / 1003 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
932 / 931 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
2
Digit product
0
Digital root
2
Palindrome
No
Bit width
10 bits
Reversed
101
Flips to (rotate 180°)
101
Recamán's sequence
a(4,399) = 1,010
Square (n²)
1,020,100
Cube (n³)
1,030,301,000
Divisor count
8
σ(n) — sum of divisors
1,836
φ(n) — Euler's totient
400
Sum of prime factors
108

Primality

Prime factorization: 2 × 5 × 101

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

Divisors & multiples

All divisors (8)
1 · 2 · 5 · 10 · 101 · 202 · 505 (half) · 1010
Aliquot sum (sum of proper divisors): 826
Factor pairs (a × b = 1,010)
1 × 1010
2 × 505
5 × 202
10 × 101
First multiples
1,010 · 2,020 (double) · 3,030 · 4,040 · 5,050 · 6,060 · 7,070 · 8,080 · 9,090 · 10,100

Sums & aliquot sequence

As a sum of two squares: 7² + 31² = 13² + 29²
As consecutive integers: 251 + 252 + 253 + 254 200 + 201 + 202 + 203 + 204 41 + 42 + … + 60
Aliquot sequence: 1,010 826 614 310 266 214 110 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
one thousand ten
Ordinal
1010th
Roman numeral
MX
Binary
1111110010
Octal
1762
Hexadecimal
0x3F2
Base64
A/I=
One's complement
64,525 (16-bit)
In other bases
ternary (3) 1101102
quaternary (4) 33302
quinary (5) 13020
senary (6) 4402
septenary (7) 2642
nonary (9) 1342
undecimal (11) 839
duodecimal (12) 702
tridecimal (13) 5c9
tetradecimal (14) 522
pentadecimal (15) 475

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆼𓎆
Greek (Milesian)
͵αιʹ
Mayan (base 20)
𝋢·𝋪·𝋪
Chinese
一千零一十
Chinese (financial)
壹仟零壹拾
In other modern scripts
Eastern Arabic ١٠١٠ Devanagari १०१० Bengali ১০১০ Tamil ௧௦௧௦ Thai ๑๐๑๐ Tibetan ༡༠༡༠ Khmer ១០១០ Lao ໑໐໑໐ Burmese ၁၀၁၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,010 = 2
e — Euler's number (e)
Digit 1,010 = 8
φ — Golden ratio (φ)
Digit 1,010 = 3
√2 — Pythagoras's (√2)
Digit 1,010 = 3
ln 2 — Natural log of 2
Digit 1,010 = 1
γ — Euler-Mascheroni (γ)
Digit 1,010 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010, here are decompositions:

  • 13 + 997 = 1010
  • 19 + 991 = 1010
  • 43 + 967 = 1010
  • 73 + 937 = 1010
  • 103 + 907 = 1010
  • 127 + 883 = 1010
  • 151 + 859 = 1010
  • 157 + 853 = 1010

Showing the first eight; more decompositions exist.

Unicode codepoint
ϲ
Greek Lunate Sigma Symbol
U+03F2
Lowercase letter (Ll)

UTF-8 encoding: CF B2 (2 bytes).

Hex color
#0003F2
RGB(0, 3, 242)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.242.

Address
0.0.3.242
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.242

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

Position in π

The digit sequence 1010 first appears in π at position 852 of the decimal expansion (the 852ordinal-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.