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163935102329 is a prime number
BaseRepresentation
bin1001100010101101001…
…0110010010101111001
3120200010220211001120122
42120223102302111321
510141214341233304
6203151042103025
714562315243515
oct2305322622571
9520126731518
10163935102329
1163585100849
122793164aa75
13125c75b803b
147d123b3145
1543e71939be
hex262b4b2579

163935102329 has 2 divisors, whose sum is σ = 163935102330. Its totient is φ = 163935102328.

The previous prime is 163935102319. The next prime is 163935102337. The reversal of 163935102329 is 923201539361.

163935102329 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., 152693377600 + 11241724729 = 390760^2 + 106027^2 .

It is an emirp because it is prime and its reverse (923201539361) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-163935102329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 163935102329.

It is not a weakly prime, because it can be changed into another prime (163935102319) 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, 81967551164 + 81967551165.

It is an arithmetic number, because the mean of its divisors is an integer number (81967551165).

Almost surely, 2163935102329 is an apocalyptic number.

It is an amenable number.

163935102329 is a deficient number, since it is larger than the sum of its proper divisors (1).

163935102329 is an equidigital number, since it uses as much as digits as its factorization.

163935102329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 262440, while the sum is 44.

The spelling of 163935102329 in words is "one hundred sixty-three billion, nine hundred thirty-five million, one hundred two thousand, three hundred twenty-nine".