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3405105013 is a prime number
BaseRepresentation
bin1100101011110101…
…1100011101110101
322210022022020221111
43022331130131311
523433201330023
61321515115021
7150244625602
oct31275343565
98708266844
103405105013
111498102882
127b0442a71
134235c264b
142443396a9
1514de1500d
hexcaf5c775

3405105013 has 2 divisors, whose sum is σ = 3405105014. Its totient is φ = 3405105012.

The previous prime is 3405104993. The next prime is 3405105043. The reversal of 3405105013 is 3105015043.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2000504529 + 1404600484 = 44727^2 + 37478^2 .

It is a cyclic number.

It is not a de Polignac number, because 3405105013 - 217 = 3404973941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3405105043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1702552506 + 1702552507.

It is an arithmetic number, because the mean of its divisors is an integer number (1702552507).

Almost surely, 23405105013 is an apocalyptic number.

It is an amenable number.

3405105013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3405105013 is an equidigital number, since it uses as much as digits as its factorization.

3405105013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 3405105013 is about 58353.2776543015. The cubic root of 3405105013 is about 1504.4468061756.

The spelling of 3405105013 in words is "three billion, four hundred five million, one hundred five thousand, thirteen".