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34532111145137 is a prime number
BaseRepresentation
bin1111101101000001000100…
…01101111101100010110001
311112021020102012101100201112
413312200202031331202301
514011233230423121022
6201235455521443105
710162601622453644
oct766404215754261
9145236365340645
1034532111145137
1110003a935447a1
123a5867a1a0495
131636496c3b538
148755124a5a5b
153ed3d5a0a8e2
hex1f682237d8b1

34532111145137 has 2 divisors, whose sum is σ = 34532111145138. Its totient is φ = 34532111145136.

The previous prime is 34532111145019. The next prime is 34532111145139. The reversal of 34532111145137 is 73154111123543.

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., 29262809259121 + 5269301886016 = 5409511^2 + 2295496^2 .

It is a cyclic number.

It is not a de Polignac number, because 34532111145137 - 222 = 34532106950833 is a prime.

Together with 34532111145139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34532111145094 and 34532111145103.

It is not a weakly prime, because it can be changed into another prime (34532111145139) 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, 17266055572568 + 17266055572569.

It is an arithmetic number, because the mean of its divisors is an integer number (17266055572569).

Almost surely, 234532111145137 is an apocalyptic number.

It is an amenable number.

34532111145137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34532111145137 is an equidigital number, since it uses as much as digits as its factorization.

34532111145137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 151200, while the sum is 41.

The spelling of 34532111145137 in words is "thirty-four trillion, five hundred thirty-two billion, one hundred eleven million, one hundred forty-five thousand, one hundred thirty-seven".