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204214324040201 is a prime number
BaseRepresentation
bin101110011011101101011010…
…001111100001001000001001
3222210001200212100211002011102
4232123231122033201020021
5203231321413423241301
62002154433151311145
761004666215520036
oct5633553217411011
9883050770732142
10204214324040201
115a083899078572
121aaa212bb1b4b5
1389c4435b7c7c7
14386005158c38d
15189213acadb6b
hexb9bb5a3e1209

204214324040201 has 2 divisors, whose sum is σ = 204214324040202. Its totient is φ = 204214324040200.

The previous prime is 204214324040189. The next prime is 204214324040273. The reversal of 204214324040201 is 102040423412402.

It is a happy number.

204214324040201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183794553697225 + 20419770342976 = 13557085^2 + 4518824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204214324040201 is a prime.

It is not a weakly prime, because it can be changed into another prime (204214324540201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102107162020100 + 102107162020101.

It is an arithmetic number, because the mean of its divisors is an integer number (102107162020101).

Almost surely, 2204214324040201 is an apocalyptic number.

It is an amenable number.

204214324040201 is a deficient number, since it is larger than the sum of its proper divisors (1).

204214324040201 is an equidigital number, since it uses as much as digits as its factorization.

204214324040201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 204214324040201 its reverse (102040423412402), we get a palindrome (306254747452603).

The spelling of 204214324040201 in words is "two hundred four trillion, two hundred fourteen billion, three hundred twenty-four million, forty thousand, two hundred one".