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34134310157 is a prime number
BaseRepresentation
bin11111110010100100…
…000011110100001101
310021002212201121201112
4133302210003310031
51024401340411112
623403040421405
72315610564143
oct376244036415
9107085647645
1034134310157
1113526a23492
126747617865
1332aca8107c
14191b561593
15d4ba7ea22
hex7f2903d0d

34134310157 has 2 divisors, whose sum is σ = 34134310158. Its totient is φ = 34134310156.

The previous prime is 34134310073. The next prime is 34134310159. The reversal of 34134310157 is 75101343143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17950908361 + 16183401796 = 133981^2 + 127214^2 .

It is a cyclic number.

It is not a de Polignac number, because 34134310157 - 210 = 34134309133 is a prime.

It is a super-2 number, since 2×341343101572 (a number of 22 digits) contains 22 as substring.

Together with 34134310159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34134310159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067155078 + 17067155079.

It is an arithmetic number, because the mean of its divisors is an integer number (17067155079).

Almost surely, 234134310157 is an apocalyptic number.

It is an amenable number.

34134310157 is a deficient number, since it is larger than the sum of its proper divisors (1).

34134310157 is an equidigital number, since it uses as much as digits as its factorization.

34134310157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 34134310157 in words is "thirty-four billion, one hundred thirty-four million, three hundred ten thousand, one hundred fifty-seven".