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1,022,011

1,022,011 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.).

1,022,011 (one million twenty-two thousand eleven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF983B.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
1,102,201
Square (n²)
1,044,506,484,121
Cube (n³)
1,067,497,116,342,987,331
Divisor count
2
σ(n) — sum of divisors
1,022,012
φ(n) — Euler's totient
1,022,010

Primality

1,022,011 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1022011
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,022,011)
1 × 1022011
First multiples
1,022,011 · 2,044,022 (double) · 3,066,033 · 4,088,044 · 5,110,055 · 6,132,066 · 7,154,077 · 8,176,088 · 9,198,099 · 10,220,110

Sums & aliquot sequence

As consecutive integers: 511,005 + 511,006

Continued fraction of √n

√1,022,011 = [1010; (1, 17, 2, 1, 1, 1, 1, 1, 5, 2, 22, 1, 3, 1, 1, 3, 3, 2, 1, 1, 2, 1, 4, 2, …)]

Representations

In words
one million twenty-two thousand eleven
Ordinal
1022011th
Binary
11111001100000111011
Octal
3714073
Hexadecimal
0xF983B
Base64
D5g7
One's complement
4,293,945,284 (32-bit)
Scientific notation
1.022011 × 10⁶
As a duration
1,022,011 s = 11 days, 19 hours, 53 minutes, 31 seconds
In other bases
ternary (3) 1220220221021
quaternary (4) 3321200323
quinary (5) 230201021
senary (6) 33523311
septenary (7) 11454424
nonary (9) 1826837
undecimal (11) 638941
duodecimal (12) 413537
tridecimal (13) 29a253
tetradecimal (14) 1c864b
pentadecimal (15) 152c41

As an angle

1,022,011° = 2,838 × 360° + 331°
331° ≈ 5.777 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓎆𓏺
Chinese
一百零二萬二千零一十一
Chinese (financial)
壹佰零貳萬貳仟零壹拾壹
In other modern scripts
Eastern Arabic ١٠٢٢٠١١ Devanagari १०२२०११ Bengali ১০২২০১১ Tamil ௧௦௨௨௦௧௧ Thai ๑๐๒๒๐๑๑ Tibetan ༡༠༢༢༠༡༡ Khmer ១០២២០១១ Lao ໑໐໒໒໐໑໑ Burmese ၁၀၂၂၀၁၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1022017.

Hex color
#0F983B
RGB(15, 152, 59)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.152.59.

Address
0.15.152.59
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.152.59

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 2011 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2011-02-01 (DMMYYYY (Euro, single-digit day))
  • 2011-10-02 (MMDYYYY (US, single-digit day))
  • 2011-02-10 (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 1,022,011 and was likely granted around 1912.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.