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2205251730041 is a prime number
BaseRepresentation
bin100000000101110011001…
…111101111101001111001
321210211010210012001201112
4200011303033233221321
5242112323420330131
64405024553530105
7315216123265253
oct40056317575171
97724123161645
102205251730041
11780273124548
122b7486413935
1312cc5390c0c9
1478a4023ccd3
153c56c53002b
hex201733efa79

2205251730041 has 2 divisors, whose sum is σ = 2205251730042. Its totient is φ = 2205251730040.

The previous prime is 2205251730007. The next prime is 2205251730079. The reversal of 2205251730041 is 1400371525022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1166391360016 + 1038860370025 = 1079996^2 + 1019245^2 .

It is a cyclic number.

It is not a de Polignac number, because 2205251730041 - 234 = 2188071860857 is a prime.

It is not a weakly prime, because it can be changed into another prime (2205251930041) 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, 1102625865020 + 1102625865021.

It is an arithmetic number, because the mean of its divisors is an integer number (1102625865021).

Almost surely, 22205251730041 is an apocalyptic number.

It is an amenable number.

2205251730041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205251730041 is an equidigital number, since it uses as much as digits as its factorization.

2205251730041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 2205251730041 in words is "two trillion, two hundred five billion, two hundred fifty-one million, seven hundred thirty thousand, forty-one".