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10216772077 is a prime number
BaseRepresentation
bin10011000001111011…
…11001000111101101
3222101000122210111211
421200331321013231
5131410443201302
64405444514421
7511116062341
oct114075710755
928330583454
1010216772077
114373113096
121b916aba11
13c6a897885
146ccc6d621
153ebe2bad7
hex260f791ed

10216772077 has 2 divisors, whose sum is σ = 10216772078. Its totient is φ = 10216772076.

The previous prime is 10216772053. The next prime is 10216772243. The reversal of 10216772077 is 77027761201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8890792681 + 1325979396 = 94291^2 + 36414^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10216772077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10216775077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5108386038 + 5108386039.

It is an arithmetic number, because the mean of its divisors is an integer number (5108386039).

Almost surely, 210216772077 is an apocalyptic number.

It is an amenable number.

10216772077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10216772077 is an equidigital number, since it uses as much as digits as its factorization.

10216772077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57624, while the sum is 40.

The spelling of 10216772077 in words is "ten billion, two hundred sixteen million, seven hundred seventy-two thousand, seventy-seven".