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10382015297 is a prime number
BaseRepresentation
bin10011010101101000…
…01111101101000001
3222210112121000121002
421222310033231001
5132230243442142
64434110341345
7515163450113
oct115264175501
928715530532
1010382015297
114448416835
122018aba855
13c95ba2a24
14706ba53b3
1540b6bca32
hex26ad0fb41

10382015297 has 2 divisors, whose sum is σ = 10382015298. Its totient is φ = 10382015296.

The previous prime is 10382015249. The next prime is 10382015309. The reversal of 10382015297 is 79251028301.

10382015297 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9991201936 + 390813361 = 99956^2 + 19769^2 .

It is a cyclic number.

It is not a de Polignac number, because 10382015297 - 220 = 10380966721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10382015297.

It is not a weakly prime, because it can be changed into another prime (10382015197) 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, 5191007648 + 5191007649.

It is an arithmetic number, because the mean of its divisors is an integer number (5191007649).

Almost surely, 210382015297 is an apocalyptic number.

It is an amenable number.

10382015297 is a deficient number, since it is larger than the sum of its proper divisors (1).

10382015297 is an equidigital number, since it uses as much as digits as its factorization.

10382015297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 38.

The spelling of 10382015297 in words is "ten billion, three hundred eighty-two million, fifteen thousand, two hundred ninety-seven".