Live analysis

1,020,013

1,020,013 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,020,013 (one million twenty thousand thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF906D.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,020,001 1,020,002 1,020,003 1,020,004 1,020,005 1,020,006 1,020,007 1,020,008 1,020,009 1,020,010 1,020,011 1,020,012 1,020,013 1,020,014 1,020,015 1,020,016 1,020,017 1,020,018 1,020,019 1,020,020 1,020,021 1,020,022 1,020,023 1,020,024 1,020,025

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 3,100,201
Square (n²): 1,040,426,520,169
Cube (n³): 1,061,248,576,117,142,197
Divisor count: 2
σ(n) — sum of divisors: 1,020,014
φ(n) — Euler's totient: 1,020,012

Primality

1,020,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1020013

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,020,013)

1 × 1020013

First multiples

1,020,013 · 2,040,026 (double) · 3,060,039 · 4,080,052 · 5,100,065 · 6,120,078 · 7,140,091 · 8,160,104 · 9,180,117 · 10,200,130

Sums & aliquot sequence

As a sum of two squares: 518² + 867²

As consecutive integers: 510,006 + 510,007

Continued fraction of √n

√1,020,013 = [1009; (1, 22, 4, 1, 1, 2, 3, 2, 1, 4, 4, 1, 5, 1, 1, 1, 4, 1, 1, 14, 1, 1, 1, 3, …)]

Representations

In words: one million twenty thousand thirteen
Ordinal: 1020013th
Binary: 11111001000001101101
Octal: 3710155
Hexadecimal: 0xF906D
Base64: D5Bt
One's complement: 4,293,947,282 (32-bit)
Scientific notation: 1.020013 × 10⁶
As a duration: 1,020,013 s = 11 days, 19 hours, 20 minutes, 13 seconds

In other bases

ternary (3) 1220211012021

quaternary (4) 3321001231

quinary (5) 230120023

senary (6) 33510141

septenary (7) 11445541

nonary (9) 1824167

undecimal (11) 637395

duodecimal (12) 412351

tridecimal (13) 299377

tetradecimal (14) 1c7a21

pentadecimal (15) 15235d

As an angle

1,020,013° = 2,833 × 360° + 133°

133° ≈ 2.321 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓎆𓏺𓏺𓏺
Chinese: 一百零二萬零一十三
Chinese (financial): 壹佰零貳萬零壹拾參

In other modern scripts

Eastern Arabic ١٠٢٠٠١٣ Devanagari १०२००१३ Bengali ১০২০০১৩ Tamil ௧௦௨௦௦௧௩ Thai ๑๐๒๐๐๑๓ Tibetan ༡༠༢༠༠༡༣ Khmer ១០២០០១៣ Lao ໑໐໒໐໐໑໓ Burmese ၁၀၂၀၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,020,011 (gap of 2)
Next prime: 1,020,023 (gap of 10)

Pair status: twin with 1020011.

Hex color

#0F906D

RGB(15, 144, 109)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.109.

Address: 0.15.144.109
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.144.109

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 2, 0013 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0013-02-01 (DMMYYYY (Euro, single-digit day))
0013-10-02 (MMDYYYY (US, single-digit day))
0013-02-10 (DDMYYYY (Euro, single-digit month))

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,020,013 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,020,013 on Google Patents ↗ Look up on USPTO ↗