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10315201541 is a prime number
BaseRepresentation
bin10011001101101010…
…10111110000000101
3222121212212112100112
421212311113300011
5132111142422131
64423322322405
7513422523611
oct114665276005
928555775315
1010315201541
114413731657
121bba659405
13c850ab568
146dbd72341
154058c102b
hex266d57c05

10315201541 has 2 divisors, whose sum is σ = 10315201542. Its totient is φ = 10315201540.

The previous prime is 10315201447. The next prime is 10315201579. The reversal of 10315201541 is 14510251301.

10315201541 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., 9124261441 + 1190940100 = 95521^2 + 34510^2 .

It is a cyclic number.

It is not a de Polignac number, because 10315201541 - 214 = 10315185157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10315221541) 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, 5157600770 + 5157600771.

It is an arithmetic number, because the mean of its divisors is an integer number (5157600771).

Almost surely, 210315201541 is an apocalyptic number.

It is an amenable number.

10315201541 is a deficient number, since it is larger than the sum of its proper divisors (1).

10315201541 is an equidigital number, since it uses as much as digits as its factorization.

10315201541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 10315201541 its reverse (14510251301), we get a palindrome (24825452842).

The spelling of 10315201541 in words is "ten billion, three hundred fifteen million, two hundred one thousand, five hundred forty-one".