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34117335029 is a prime number
BaseRepresentation
bin11111110001100011…
…010011011111110101
310021001200210012020002
4133301203103133311
51024333014210104
623401232521045
72315313364031
oct376143233765
9107050705202
1034117335029
1113518389858
1267419b0185
1332a93b970b
1419191c31c1
15d4a32a01e
hex7f18d37f5

34117335029 has 2 divisors, whose sum is σ = 34117335030. Its totient is φ = 34117335028.

The previous prime is 34117335019. The next prime is 34117335061. The reversal of 34117335029 is 92053371143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26862554404 + 7254780625 = 163898^2 + 85175^2 .

It is an emirp because it is prime and its reverse (92053371143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34117335029 - 24 = 34117335013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34117334983 and 34117335001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34117335019) 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, 17058667514 + 17058667515.

It is an arithmetic number, because the mean of its divisors is an integer number (17058667515).

Almost surely, 234117335029 is an apocalyptic number.

It is an amenable number.

34117335029 is a deficient number, since it is larger than the sum of its proper divisors (1).

34117335029 is an equidigital number, since it uses as much as digits as its factorization.

34117335029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 38.

The spelling of 34117335029 in words is "thirty-four billion, one hundred seventeen million, three hundred thirty-five thousand, twenty-nine".