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34191824113 is a prime number
BaseRepresentation
bin11111110101111111…
…011101010011110001
310021020212221122001001
4133311333131103301
51030011101332423
623412453242001
72320206465256
oct376577352361
9107225848031
1034191824113
1113556436587
126762933301
1332bb96a5b5
14192505342d
15d51b40cad
hex7f5fdd4f1

34191824113 has 2 divisors, whose sum is σ = 34191824114. Its totient is φ = 34191824112.

The previous prime is 34191824087. The next prime is 34191824119. The reversal of 34191824113 is 31142819143.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28802502369 + 5389321744 = 169713^2 + 73412^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34191824113 is a prime.

It is not a weakly prime, because it can be changed into another prime (34191824119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17095912056 + 17095912057.

It is an arithmetic number, because the mean of its divisors is an integer number (17095912057).

Almost surely, 234191824113 is an apocalyptic number.

It is an amenable number.

34191824113 is a deficient number, since it is larger than the sum of its proper divisors (1).

34191824113 is an equidigital number, since it uses as much as digits as its factorization.

34191824113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 37.

The spelling of 34191824113 in words is "thirty-four billion, one hundred ninety-one million, eight hundred twenty-four thousand, one hundred thirteen".