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330793083029 is a prime number
BaseRepresentation
bin1001101000001001100…
…11011110000010010101
31011121211112112201111202
410310010303132002111
520404431012124104
6411544135442245
732620234545533
oct4640463360225
91147745481452
10330793083029
1111831a087352
1254139b26385
13252695c43b6
1412020a35153
158910c4551e
hex4d04cde095

330793083029 has 2 divisors, whose sum is σ = 330793083030. Its totient is φ = 330793083028.

The previous prime is 330793083017. The next prime is 330793083037. The reversal of 330793083029 is 920380397033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 277020110929 + 53772972100 = 526327^2 + 231890^2 .

It is a cyclic number.

It is not a de Polignac number, because 330793083029 - 24 = 330793083013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330792083029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165396541514 + 165396541515.

It is an arithmetic number, because the mean of its divisors is an integer number (165396541515).

Almost surely, 2330793083029 is an apocalyptic number.

It is an amenable number.

330793083029 is a deficient number, since it is larger than the sum of its proper divisors (1).

330793083029 is an equidigital number, since it uses as much as digits as its factorization.

330793083029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 734832, while the sum is 47.

The spelling of 330793083029 in words is "three hundred thirty billion, seven hundred ninety-three million, eighty-three thousand, twenty-nine".