Search a number
-
+
220220321321 = 711135910136919
BaseRepresentation
bin1100110100011000100…
…1110110111000101001
3210001102112101102210002
43031012021312320221
512102002400240241
6245100125432345
721624156563060
oct3150611667051
9701375342702
10220220321321
11854386a2960
123681b40b6b5
13179c7547850
14a9317591d7
155add71089b
hex3346276e29

220220321321 has 64 divisors (see below), whose sum is σ = 303677337600. Its totient is φ = 154169568000.

The previous prime is 220220321311. The next prime is 220220321341. The reversal of 220220321321 is 123123022022.

It is a happy number.

220220321321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220220321321 - 26 = 220220321257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220220321293 and 220220321302.

It is not an unprimeable number, because it can be changed into a prime (220220321311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5946500 + ... + 5983418.

It is an arithmetic number, because the mean of its divisors is an integer number (4744958400).

Almost surely, 2220220321321 is an apocalyptic number.

It is an amenable number.

220220321321 is a deficient number, since it is larger than the sum of its proper divisors (83457016279).

220220321321 is a wasteful number, since it uses less digits than its factorization.

220220321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37110.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 220220321321 its reverse (123123022022), we get a palindrome (343343343343).

The spelling of 220220321321 in words is "two hundred twenty billion, two hundred twenty million, three hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 7 11 13 59 77 91 101 143 413 649 707 767 1001 1111 1313 4543 5369 5959 7777 8437 9191 14443 36919 41713 59059 65549 77467 101101 258433 406109 458843 479947 542269 852137 2178221 2842763 3359629 3728819 5279417 5964959 15247547 23960431 26101733 28316873 36955919 41017009 48474647 167723017 198218111 220000321 287119063 311485603 339322529 533221117 1540002247 2180399221 2420003531 2860004173 3732547819 16940024717 20020029211 31460045903 220220321321