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205655182586141 is a prime number
BaseRepresentation
bin101110110000101011010100…
…000110101011000100011101
3222222011102222021101001202112
4232300223110012223010131
5203423423303220224031
62005220404150403405
761214045066214221
oct5660532406530435
9888142867331675
10205655182586141
115a5899671720a2
121b095428660565
138a9a27b679c82
1438ada9a3b0781
1518b986ae9462b
hexbb0ad41ab11d

205655182586141 has 2 divisors, whose sum is σ = 205655182586142. Its totient is φ = 205655182586140.

The previous prime is 205655182586093. The next prime is 205655182586207. The reversal of 205655182586141 is 141685281556502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202459347050041 + 3195835536100 = 14228821^2 + 1787690^2 .

It is a cyclic number.

It is not a de Polignac number, because 205655182586141 - 246 = 135286438408477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205655182586041) 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, 102827591293070 + 102827591293071.

It is an arithmetic number, because the mean of its divisors is an integer number (102827591293071).

Almost surely, 2205655182586141 is an apocalyptic number.

It is an amenable number.

205655182586141 is a deficient number, since it is larger than the sum of its proper divisors (1).

205655182586141 is an equidigital number, since it uses as much as digits as its factorization.

205655182586141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040000, while the sum is 59.

The spelling of 205655182586141 in words is "two hundred five trillion, six hundred fifty-five billion, one hundred eighty-two million, five hundred eighty-six thousand, one hundred forty-one".