Number

1,010

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

1,010 (one thousand ten) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 5 × 101. Written other ways, in Roman numerals it is MX and in binary, 1111110010.

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

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

998 999 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

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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 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

Continued fraction of √n

√1,010 = [31; (1, 3, 1, 1, 3, 1, 62)]

Period length 7 — the block in parentheses repeats forever.

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)
Scientific notation: 1.01 × 10³
As a duration: 1,010 s = 16 minutes, 50 seconds

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

As an angle

1,010° = 2 × 360° + 290°

290° ≈ 5.061 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

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

Greek Lunate Sigma Symbol

U+03F2

Lowercase letter (Ll)

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

Lookup U+03F2 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,010 Hz is closest to:

Concert pitch (A4 = 440 Hz): B5 (987.8 Hz, +39¢)
Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, -24¢)
Baroque pitch (A4 = 415 Hz): C6 (987 Hz, +40¢)

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.

Look up 1010 on Pi Search ↗