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413322412301 is a prime number
BaseRepresentation
bin1100000001110111110…
…11111000000100001101
31110111212011001000222122
412000323323320010031
523232441014143201
6513513325422325
741601341352131
oct6007373700415
91414764030878
10413322412301
1114a31a7a99a7
1268130a0a9a5
132cc8c757246
141600d6973c1
15ab412d4e1b
hex603bef810d

413322412301 has 2 divisors, whose sum is σ = 413322412302. Its totient is φ = 413322412300.

The previous prime is 413322412297. The next prime is 413322412357. The reversal of 413322412301 is 103214223314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 290843411401 + 122479000900 = 539299^2 + 349970^2 .

It is a cyclic number.

It is not a de Polignac number, because 413322412301 - 22 = 413322412297 is a prime.

It is a super-2 number, since 2×4133224123012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413322442301) 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, 206661206150 + 206661206151.

It is an arithmetic number, because the mean of its divisors is an integer number (206661206151).

Almost surely, 2413322412301 is an apocalyptic number.

It is an amenable number.

413322412301 is a deficient number, since it is larger than the sum of its proper divisors (1).

413322412301 is an equidigital number, since it uses as much as digits as its factorization.

413322412301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 413322412301 its reverse (103214223314), we get a palindrome (516536635615).

The spelling of 413322412301 in words is "four hundred thirteen billion, three hundred twenty-two million, four hundred twelve thousand, three hundred one".