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929301000193 is a prime number
BaseRepresentation
bin11011000010111101010…
…01111111000000000001
310021211200120210010010201
431201132221333000001
5110211202024001233
61550525345325201
7124065642112036
oct15413651770001
93254616703121
10929301000193
11329129207a35
12130131036801
136982c0a2147
1432d9aa7738d
151928eace77d
hexd85ea7f001

929301000193 has 2 divisors, whose sum is σ = 929301000194. Its totient is φ = 929301000192.

The previous prime is 929301000149. The next prime is 929301000209. The reversal of 929301000193 is 391000103929.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 583188814224 + 346112185969 = 763668^2 + 588313^2 .

It is a cyclic number.

It is not a de Polignac number, because 929301000193 - 225 = 929267445761 is a prime.

It is not a weakly prime, because it can be changed into another prime (929301000113) 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, 464650500096 + 464650500097.

It is an arithmetic number, because the mean of its divisors is an integer number (464650500097).

Almost surely, 2929301000193 is an apocalyptic number.

It is an amenable number.

929301000193 is a deficient number, since it is larger than the sum of its proper divisors (1).

929301000193 is an equidigital number, since it uses as much as digits as its factorization.

929301000193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 37.

The spelling of 929301000193 in words is "nine hundred twenty-nine billion, three hundred one million, one hundred ninety-three", and thus it is an aban number.