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10216771337 is a prime number
BaseRepresentation
bin10011000001111011…
…11000111100001001
3222101000122202111102
421200331320330021
5131410443140322
64405444511145
7511116060233
oct114075707411
928330582442
1010216771337
114373112583
121b916ab4b5
13c6a897436
146ccc6d253
153ebe2b792
hex260f78f09

10216771337 has 2 divisors, whose sum is σ = 10216771338. Its totient is φ = 10216771336.

The previous prime is 10216771309. The next prime is 10216771343. The reversal of 10216771337 is 73317761201.

It is a happy number.

10216771337 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., 6945388921 + 3271382416 = 83339^2 + 57196^2 .

It is a cyclic number.

It is not a de Polignac number, because 10216771337 - 212 = 10216767241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10216771337.

It is not a weakly prime, because it can be changed into another prime (10216771937) 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, 5108385668 + 5108385669.

It is an arithmetic number, because the mean of its divisors is an integer number (5108385669).

Almost surely, 210216771337 is an apocalyptic number.

It is an amenable number.

10216771337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10216771337 is an equidigital number, since it uses as much as digits as its factorization.

10216771337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37044, while the sum is 38.

The spelling of 10216771337 in words is "ten billion, two hundred sixteen million, seven hundred seventy-one thousand, three hundred thirty-seven".