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34130350229 is a prime number
BaseRepresentation
bin11111110010010100…
…111101000010010101
310021002121021102201112
4133302110331002111
51024344332201404
623402415504405
72315532122153
oct376224750225
9107077242645
1034130350229
1113524769318
126746228105
1332abcc5811
14191ac103d3
15d4b54b56e
hex7f253d095

34130350229 has 2 divisors, whose sum is σ = 34130350230. Its totient is φ = 34130350228.

The previous prime is 34130350213. The next prime is 34130350231. The reversal of 34130350229 is 92205303143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23623075204 + 10507275025 = 153698^2 + 102505^2 .

It is a cyclic number.

It is not a de Polignac number, because 34130350229 - 24 = 34130350213 is a prime.

Together with 34130350231, 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 = 34130350195 and 34130350204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34130350129) 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, 17065175114 + 17065175115.

It is an arithmetic number, because the mean of its divisors is an integer number (17065175115).

Almost surely, 234130350229 is an apocalyptic number.

It is an amenable number.

34130350229 is a deficient number, since it is larger than the sum of its proper divisors (1).

34130350229 is an equidigital number, since it uses as much as digits as its factorization.

34130350229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 34130350229 in words is "thirty-four billion, one hundred thirty million, three hundred fifty thousand, two hundred twenty-nine".