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10216434013 is a prime number
BaseRepresentation
bin10011000001111001…
…00110100101011101
3222101000000121202221
421200330212211131
5131410401342023
64405433345341
7511113153622
oct114074464535
928330017687
1010216434013
114372a020a5
121b91568251
13c6a7a9a36
146ccbc2349
153ebdb185d
hex260f2695d

10216434013 has 2 divisors, whose sum is σ = 10216434014. Its totient is φ = 10216434012.

The previous prime is 10216433999. The next prime is 10216434049. The reversal of 10216434013 is 31043461201.

10216434013 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., 7678491129 + 2537942884 = 87627^2 + 50378^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10216434013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10216434713) 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, 5108217006 + 5108217007.

It is an arithmetic number, because the mean of its divisors is an integer number (5108217007).

Almost surely, 210216434013 is an apocalyptic number.

It is an amenable number.

10216434013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10216434013 is an equidigital number, since it uses as much as digits as its factorization.

10216434013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10216434013 its reverse (31043461201), we get a palindrome (41259895214).

The spelling of 10216434013 in words is "ten billion, two hundred sixteen million, four hundred thirty-four thousand, thirteen".