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34011030013 is a prime number
BaseRepresentation
bin11111101011001101…
…110010000111111101
310020210021202100011021
4133223031302013331
51024123310430023
623342514224141
72312552661622
oct375315620775
9106707670137
1034011030013
1113473381274
126712285051
13329037913c
141909030349
15d40d2c35d
hex7eb3721fd

34011030013 has 2 divisors, whose sum is σ = 34011030014. Its totient is φ = 34011030012.

The previous prime is 34011029989. The next prime is 34011030017. The reversal of 34011030013 is 31003011043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21699352249 + 12311677764 = 147307^2 + 110958^2 .

It is an emirp because it is prime and its reverse (31003011043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34011030013 - 25 = 34011029981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34011030017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17005515006 + 17005515007.

It is an arithmetic number, because the mean of its divisors is an integer number (17005515007).

Almost surely, 234011030013 is an apocalyptic number.

It is an amenable number.

34011030013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34011030013 is an equidigital number, since it uses as much as digits as its factorization.

34011030013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 34011030013 its reverse (31003011043), we get a palindrome (65014041056).

The spelling of 34011030013 in words is "thirty-four billion, eleven million, thirty thousand, thirteen".