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10113330401 is a prime number
BaseRepresentation
bin10010110101100110…
…10010110011100001
3222002211000102012122
421122303102303201
5131203003033101
64351311434025
7505421614166
oct113263226341
928084012178
1010113330401
11431a7908a9
121b62b25915
13c5231a695
146bd22406d
153e2ce751b
hex25acd2ce1

10113330401 has 2 divisors, whose sum is σ = 10113330402. Its totient is φ = 10113330400.

The previous prime is 10113330397. The next prime is 10113330419. The reversal of 10113330401 is 10403331101.

10113330401 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., 9549980176 + 563350225 = 97724^2 + 23735^2 .

It is a cyclic number.

It is not a de Polignac number, because 10113330401 - 22 = 10113330397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10113330401.

It is not a weakly prime, because it can be changed into another prime (10113330301) 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, 5056665200 + 5056665201.

It is an arithmetic number, because the mean of its divisors is an integer number (5056665201).

Almost surely, 210113330401 is an apocalyptic number.

It is an amenable number.

10113330401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113330401 is an equidigital number, since it uses as much as digits as its factorization.

10113330401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10113330401 its reverse (10403331101), we get a palindrome (20516661502).

The spelling of 10113330401 in words is "ten billion, one hundred thirteen million, three hundred thirty thousand, four hundred one".