Search a number
-
+
10000020000241 is a prime number
BaseRepresentation
bin1001000110000100111110…
…1000111100110111110001
31022101222210120212101000001
42101201033220330313301
52302320020110001431
633133540141430001
72051322550344115
oct221411750746761
938358716771001
1010000020000241
113205a91654547
1211560a256b301
13576cc833ba9b
14268009a57745
151251cba93e61
hex9184fa3cdf1

10000020000241 has 2 divisors, whose sum is σ = 10000020000242. Its totient is φ = 10000020000240.

The previous prime is 10000020000211. The next prime is 10000020000247. The reversal of 10000020000241 is 14200002000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9080730230625 + 919289769616 = 3013425^2 + 958796^2 .

It is an emirp because it is prime and its reverse (14200002000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000020000241 - 211 = 10000019998193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000020000247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000010000120 + 5000010000121.

It is an arithmetic number, because the mean of its divisors is an integer number (5000010000121).

Almost surely, 210000020000241 is an apocalyptic number.

It is an amenable number.

10000020000241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000020000241 is an equidigital number, since it uses as much as digits as its factorization.

10000020000241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10000020000241 its reverse (14200002000001), we get a palindrome (24200022000242).

The spelling of 10000020000241 in words is "ten trillion, twenty million, two hundred forty-one", and thus it is an aban number.