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33042000413 is a prime number
BaseRepresentation
bin11110110001011101…
…001110101000011101
310011021202100112110002
4132301131032220131
51020132223003123
623102420424045
72246545240502
oct366135165035
9104252315402
1033042000413
1113016390a64
1264a1848025
133167693846
1418564654a9
15cd5c17528
hex7b174ea1d

33042000413 has 2 divisors, whose sum is σ = 33042000414. Its totient is φ = 33042000412.

The previous prime is 33042000403. The next prime is 33042000421. The reversal of 33042000413 is 31400024033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27237541444 + 5804458969 = 165038^2 + 76187^2 .

It is a cyclic number.

It is not a de Polignac number, because 33042000413 - 224 = 33025223197 is a prime.

It is a super-3 number, since 3×330420004133 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33042000403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16521000206 + 16521000207.

It is an arithmetic number, because the mean of its divisors is an integer number (16521000207).

Almost surely, 233042000413 is an apocalyptic number.

It is an amenable number.

33042000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

33042000413 is an equidigital number, since it uses as much as digits as its factorization.

33042000413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 33042000413 its reverse (31400024033), we get a palindrome (64442024446).

The spelling of 33042000413 in words is "thirty-three billion, forty-two million, four hundred thirteen", and thus it is an aban number.