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34135415137 is a prime number
BaseRepresentation
bin11111110010101000…
…010001100101100001
310021002221210202110201
4133302220101211201
51024402131241022
623403120225201
72315623145515
oct376250214541
9107087722421
1034135415137
111352760869a
126747a6b201
1332b0079cc5
14191b76c145
15d4bbec127
hex7f2a11961

34135415137 has 2 divisors, whose sum is σ = 34135415138. Its totient is φ = 34135415136.

The previous prime is 34135415123. The next prime is 34135415159. The reversal of 34135415137 is 73151453143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23824231201 + 10311183936 = 154351^2 + 101544^2 .

It is a cyclic number.

It is not a de Polignac number, because 34135415137 - 27 = 34135415009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34135415096 and 34135415105.

It is not a weakly prime, because it can be changed into another prime (34135415117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067707568 + 17067707569.

It is an arithmetic number, because the mean of its divisors is an integer number (17067707569).

Almost surely, 234135415137 is an apocalyptic number.

It is an amenable number.

34135415137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34135415137 is an equidigital number, since it uses as much as digits as its factorization.

34135415137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75600, while the sum is 37.

The spelling of 34135415137 in words is "thirty-four billion, one hundred thirty-five million, four hundred fifteen thousand, one hundred thirty-seven".