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34706783021 is a prime number
BaseRepresentation
bin100000010100101011…
…110111101100101101
310022120202221020212012
4200110223313230231
51032034414024041
623535530451005
72336031534221
oct402453675455
9108522836765
1034706783021
11137a008a859
126887293a65
13337155c401
1419735c0781
15d81e613eb
hex814af7b2d

34706783021 has 2 divisors, whose sum is σ = 34706783022. Its totient is φ = 34706783020.

The previous prime is 34706783011. The next prime is 34706783051. The reversal of 34706783021 is 12038760743.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22882612900 + 11824170121 = 151270^2 + 108739^2 .

It is an emirp because it is prime and its reverse (12038760743) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34706783021 - 214 = 34706766637 is a prime.

It is a super-3 number, since 3×347067830213 (a number of 33 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34706783021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34706783011) 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, 17353391510 + 17353391511.

It is an arithmetic number, because the mean of its divisors is an integer number (17353391511).

Almost surely, 234706783021 is an apocalyptic number.

It is an amenable number.

34706783021 is a deficient number, since it is larger than the sum of its proper divisors (1).

34706783021 is an equidigital number, since it uses as much as digits as its factorization.

34706783021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 34706783021 in words is "thirty-four billion, seven hundred six million, seven hundred eighty-three thousand, twenty-one".