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10324414013 is a prime number
BaseRepresentation
bin10011001110110001…
…00000111000111101
3222122112012120111012
421213120200320331
5132121022222023
64424252005005
7513564033254
oct114730407075
928575176435
1010324414013
114418954071
122001760765
13c86c85824
146dd28d79b
154065e0978
hex267620e3d

10324414013 has 2 divisors, whose sum is σ = 10324414014. Its totient is φ = 10324414012.

The previous prime is 10324413997. The next prime is 10324414039. The reversal of 10324414013 is 31041442301.

10324414013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10140892804 + 183521209 = 100702^2 + 13547^2 .

It is a cyclic number.

It is not a de Polignac number, because 10324414013 - 24 = 10324413997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10324414013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10324419013) 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 as a sum of consecutive naturals, namely, 5162207006 + 5162207007.

It is an arithmetic number, because the mean of its divisors is an integer number (5162207007).

Almost surely, 210324414013 is an apocalyptic number.

It is an amenable number.

10324414013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10324414013 is an equidigital number, since it uses as much as digits as its factorization.

10324414013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10324414013 its reverse (31041442301), we get a palindrome (41365856314).

The spelling of 10324414013 in words is "ten billion, three hundred twenty-four million, four hundred fourteen thousand, thirteen".