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13222332023 = 234133734157
BaseRepresentation
bin11000101000001110…
…01100011001110111
31021010111011001122212
430110013030121313
5204034404111043
610024012244035
7645442652645
oct142407143167
937114131585
1013222332023
11567573082a
12269017061b
131329477a04
148d60c2195
15525c1d018
hex3141cc677

13222332023 has 16 divisors (see below), whose sum is σ = 14141324736. Its totient is φ = 12332348160.

The previous prime is 13222331987. The next prime is 13222332031. The reversal of 13222332023 is 32023322231.

13222332023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13222332023 - 26 = 13222331959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13222332023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222332073) 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 15 ways as a sum of consecutive naturals, for example, 3178661 + ... + 3182817.

It is an arithmetic number, because the mean of its divisors is an integer number (883832796).

Almost surely, 213222332023 is an apocalyptic number.

13222332023 is a deficient number, since it is larger than the sum of its proper divisors (918992713).

13222332023 is a wasteful number, since it uses less digits than its factorization.

13222332023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7594.

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 13222332023 its reverse (32023322231), we get a palindrome (45245654254).

The spelling of 13222332023 in words is "thirteen billion, two hundred twenty-two million, three hundred thirty-two thousand, twenty-three".

Divisors: 1 23 41 943 3373 4157 77579 95611 138293 170437 3180739 3920051 14021561 322495903 574884001 13222332023