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204144414241 is a prime number
BaseRepresentation
bin1011111000011111110…
…1001000111000100001
3201111221011201202001011
42332013331020320201
511321041432223431
6233441015140521
720514613614235
oct2760775107041
9644834652034
10204144414241
1179639221a39
1233693674741
1316334b351b1
149c486a85c5
15549c223cb1
hex2f87f48e21

204144414241 has 2 divisors, whose sum is σ = 204144414242. Its totient is φ = 204144414240.

The previous prime is 204144414223. The next prime is 204144414349. The reversal of 204144414241 is 142414441402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188946702400 + 15197711841 = 434680^2 + 123279^2 .

It is a cyclic number.

It is not a de Polignac number, because 204144414241 - 27 = 204144414113 is a prime.

It is not a weakly prime, because it can be changed into another prime (204144414841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102072207120 + 102072207121.

It is an arithmetic number, because the mean of its divisors is an integer number (102072207121).

Almost surely, 2204144414241 is an apocalyptic number.

It is an amenable number.

204144414241 is a deficient number, since it is larger than the sum of its proper divisors (1).

204144414241 is an equidigital number, since it uses as much as digits as its factorization.

204144414241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 204144414241 its reverse (142414441402), we get a palindrome (346558855643).

The spelling of 204144414241 in words is "two hundred four billion, one hundred forty-four million, four hundred fourteen thousand, two hundred forty-one".