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202001022000241 is a prime number
BaseRepresentation
bin101101111011100000000111…
…001010010001110001110001
3222111020002221112112220022021
4231323200013022101301301
5202434041043113001431
61553341553255311441
760356043430553242
oct5573400712216161
9874202845486267
10202001022000241
1159400174844032
121a7a519967b581
1388937cb494109
1437c4c8a10acc9
15185479bb46b11
hexb7b807291c71

202001022000241 has 2 divisors, whose sum is σ = 202001022000242. Its totient is φ = 202001022000240.

The previous prime is 202001022000199. The next prime is 202001022000317. The reversal of 202001022000241 is 142000220100202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121462441000000 + 80538581000241 = 11021000^2 + 8974329^2 .

It is a cyclic number.

It is not a de Polignac number, because 202001022000241 - 227 = 202000887782513 is a prime.

It is not a weakly prime, because it can be changed into another prime (202001022040241) 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, 101000511000120 + 101000511000121.

It is an arithmetic number, because the mean of its divisors is an integer number (101000511000121).

Almost surely, 2202001022000241 is an apocalyptic number.

It is an amenable number.

202001022000241 is a deficient number, since it is larger than the sum of its proper divisors (1).

202001022000241 is an equidigital number, since it uses as much as digits as its factorization.

202001022000241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202001022000241 its reverse (142000220100202), we get a palindrome (344001242100443).

The spelling of 202001022000241 in words is "two hundred two trillion, one billion, twenty-two million, two hundred forty-one", and thus it is an aban number.