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34030300033 is a prime number
BaseRepresentation
bin11111101100010111…
…010010101110000001
310020211122000100122201
4133230113102232001
51024143224100113
623344443233201
72313205530502
oct375427225601
9106748010581
1034030300033
1113483243104
126718818801
133294365212
14190b808ba9
15d42886cdd
hex7ec5d2b81

34030300033 has 2 divisors, whose sum is σ = 34030300034. Its totient is φ = 34030300032.

The previous prime is 34030300013. The next prime is 34030300091. The reversal of 34030300033 is 33000303043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29926232064 + 4104067969 = 172992^2 + 64063^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34030300033 is a prime.

It is a super-2 number, since 2×340303000332 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34030300013) 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, 17015150016 + 17015150017.

It is an arithmetic number, because the mean of its divisors is an integer number (17015150017).

Almost surely, 234030300033 is an apocalyptic number.

It is an amenable number.

34030300033 is a deficient number, since it is larger than the sum of its proper divisors (1).

34030300033 is an equidigital number, since it uses as much as digits as its factorization.

34030300033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 19.

Adding to 34030300033 its reverse (33000303043), we get a palindrome (67030603076).

The spelling of 34030300033 in words is "thirty-four billion, thirty million, three hundred thousand, thirty-three".