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13524332401 is a prime number
BaseRepresentation
bin11001001100001110…
…01110111101110001
31021220112102021022001
430212013032331301
5210144212114101
610114001214001
7656100633346
oct144607167561
937815367261
1013524332401
115810151118
122755331301
131376bc6168
149242567cd
155424c4901
hex3261cef71

13524332401 has 2 divisors, whose sum is σ = 13524332402. Its totient is φ = 13524332400.

The previous prime is 13524332377. The next prime is 13524332413. The reversal of 13524332401 is 10423342531.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9292960000 + 4231372401 = 96400^2 + 65049^2 .

It is a cyclic number.

It is not a de Polignac number, because 13524332401 - 225 = 13490777969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13524332401.

It is not a weakly prime, because it can be changed into another prime (13524332461) 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 as a sum of consecutive naturals, namely, 6762166200 + 6762166201.

It is an arithmetic number, because the mean of its divisors is an integer number (6762166201).

Almost surely, 213524332401 is an apocalyptic number.

It is an amenable number.

13524332401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13524332401 is an equidigital number, since it uses as much as digits as its factorization.

13524332401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 13524332401 its reverse (10423342531), we get a palindrome (23947674932).

The spelling of 13524332401 in words is "thirteen billion, five hundred twenty-four million, three hundred thirty-two thousand, four hundred one".