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13222012323 = 3132315793887
BaseRepresentation
bin11000101000001011…
…11110010110100011
31021010110112211010010
430110011332112203
5204034313343243
610024001340003
7645440151612
oct142405762643
937113484103
1013222012323
115675532613
122690037603
131329395340
148d603b879
15525ba8433
hex31417e5a3

13222012323 has 32 divisors (see below), whose sum is σ = 19937304576. Its totient is φ = 7733202048.

The previous prime is 13222012319. The next prime is 13222012333. The reversal of 13222012323 is 32321022231.

It is a happy number.

13222012323 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 13222012323 - 22 = 13222012319 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13222012323.

It is not an unprimeable number, because it can be changed into a prime (13222012303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93886 + ... + 187772.

It is an arithmetic number, because the mean of its divisors is an integer number (623040768).

Almost surely, 213222012323 is an apocalyptic number.

13222012323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13222012323 is a deficient number, since it is larger than the sum of its proper divisors (6715292253).

13222012323 is a wasteful number, since it uses less digits than its factorization.

13222012323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94083.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13222012323 its reverse (32321022231), we get a palindrome (45543034554).

The spelling of 13222012323 in words is "thirteen billion, two hundred twenty-two million, twelve thousand, three hundred twenty-three".

Divisors: 1 3 13 23 39 69 157 299 471 897 2041 3611 6123 10833 46943 93887 140829 281661 1220531 2159401 3661593 6478203 14740259 28072213 44220777 84216639 191623367 339025957 574870101 1017077871 4407337441 13222012323