Live analysis

1,020,011

1,020,011 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.).

1,020,011 (one million twenty thousand eleven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF906B.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,019,999 1,020,000 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

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 1,100,201
Square (n²): 1,040,422,440,121
Cube (n³): 1,061,242,333,570,261,331
Divisor count: 2
σ(n) — sum of divisors: 1,020,012
φ(n) — Euler's totient: 1,020,010

Primality

1,020,011 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1020011

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,020,011)

1 × 1020011

First multiples

1,020,011 · 2,040,022 (double) · 3,060,033 · 4,080,044 · 5,100,055 · 6,120,066 · 7,140,077 · 8,160,088 · 9,180,099 · 10,200,110

Sums & aliquot sequence

As consecutive integers: 510,005 + 510,006

Continued fraction of √n

√1,020,011 = [1009; (1, 21, 1, 2, 3, 2, 3, 2, 19, 5, 1, 2, 1, 3, 1, 3, 1, 403, 5, 4, 2, 1, 18, 5, …)]

Representations

In words: one million twenty thousand eleven
Ordinal: 1020011th
Binary: 11111001000001101011
Octal: 3710153
Hexadecimal: 0xF906B
Base64: D5Br
One's complement: 4,293,947,284 (32-bit)
Scientific notation: 1.020011 × 10⁶
As a duration: 1,020,011 s = 11 days, 19 hours, 20 minutes, 11 seconds

In other bases

ternary (3) 1220211012012

quaternary (4) 3321001223

quinary (5) 230120021

senary (6) 33510135

septenary (7) 11445536

nonary (9) 1824165

undecimal (11) 637393

duodecimal (12) 41234b

tridecimal (13) 299375

tetradecimal (14) 1c7a1d

pentadecimal (15) 15235b

As an angle

1,020,011° = 2,833 × 360° + 131°

131° ≈ 2.286 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓎆𓏺
Chinese: 一百零二萬零一十一
Chinese (financial): 壹佰零貳萬零壹拾壹

In other modern scripts

Eastern Arabic ١٠٢٠٠١١ Devanagari १०२००११ Bengali ১০২০০১১ Tamil ௧௦௨௦௦௧௧ Thai ๑๐๒๐๐๑๑ Tibetan ༡༠༢༠༠༡༡ Khmer ១០២០០១១ Lao ໑໐໒໐໐໑໑ Burmese ၁၀၂၀၀၁၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,020,007 (gap of 4)
Next prime: 1,020,013 (gap of 2)

Pair status: twin with 1020013, cousin with 1020007.

Hex color

#0F906B

RGB(15, 144, 107)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.107.

Address: 0.15.144.107
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.144.107

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 0011 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0011-02-01 (DMMYYYY (Euro, single-digit day))
0011-10-02 (MMDYYYY (US, single-digit day))
0011-02-10 (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 1,020,011 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 US1,020,011 on Google Patents ↗ Look up on USPTO ↗