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204244311041 is a prime number
BaseRepresentation
bin1011111000110111101…
…0001101110000000001
3201112012010201000200122
42332031322031300001
511321243020423131
6233454544230025
720520235666451
oct2761572156001
9645163630618
10204244311041
117968a652981
123370100b315
131634c740a24
149c57a6dd61
1554a5da7d7b
hex2f8de8dc01

204244311041 has 2 divisors, whose sum is σ = 204244311042. Its totient is φ = 204244311040.

The previous prime is 204244311023. The next prime is 204244311049. The reversal of 204244311041 is 140113442402.

204244311041 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., 169685501041 + 34558810000 = 411929^2 + 185900^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204244311041 is a prime.

It is a super-2 number, since 2×2042443110412 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 204244311041.

It is not a weakly prime, because it can be changed into another prime (204244311049) 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, 102122155520 + 102122155521.

It is an arithmetic number, because the mean of its divisors is an integer number (102122155521).

Almost surely, 2204244311041 is an apocalyptic number.

It is an amenable number.

204244311041 is a deficient number, since it is larger than the sum of its proper divisors (1).

204244311041 is an equidigital number, since it uses as much as digits as its factorization.

204244311041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 204244311041 its reverse (140113442402), we get a palindrome (344357753443).

The spelling of 204244311041 in words is "two hundred four billion, two hundred forty-four million, three hundred eleven thousand, forty-one".