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413021023133 is a prime number
BaseRepresentation
bin1100000001010011111…
…10001010101110011101
31110111002010220212202212
412000221332022232131
523231331340220013
6513423401530205
741561021525405
oct6005176125635
91414063825685
10413021023133
1114a185666844
1268067aa3965
132cc42191064
1415dc1641805
15ab24aee6a8
hex6029f8ab9d

413021023133 has 2 divisors, whose sum is σ = 413021023134. Its totient is φ = 413021023132.

The previous prime is 413021023111. The next prime is 413021023169. The reversal of 413021023133 is 331320120314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 393834063844 + 19186959289 = 627562^2 + 138517^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413021023133 is a prime.

It is a super-2 number, since 2×4130210231332 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 413021023099 and 413021023108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413021023183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206510511566 + 206510511567.

It is an arithmetic number, because the mean of its divisors is an integer number (206510511567).

Almost surely, 2413021023133 is an apocalyptic number.

It is an amenable number.

413021023133 is a deficient number, since it is larger than the sum of its proper divisors (1).

413021023133 is an equidigital number, since it uses as much as digits as its factorization.

413021023133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 413021023133 its reverse (331320120314), we get a palindrome (744341143447).

The spelling of 413021023133 in words is "four hundred thirteen billion, twenty-one million, twenty-three thousand, one hundred thirty-three".