Search a number
-
+
34101232393 is a prime number
BaseRepresentation
bin11111110000100101…
…111000001100001001
310021000120111002120011
4133300211320030021
51024314403414033
623355455431521
72315026456414
oct376045701411
9107016432504
1034101232393
111350a290698
1267385255a1
1332a5c6c227
141916dd0b7b
15d48be8ccd
hex7f0978309

34101232393 has 2 divisors, whose sum is σ = 34101232394. Its totient is φ = 34101232392.

The previous prime is 34101232379. The next prime is 34101232397. The reversal of 34101232393 is 39323210143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33077424384 + 1023808009 = 181872^2 + 31997^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34101232393 is a prime.

It is not a weakly prime, because it can be changed into another prime (34101232397) 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, 17050616196 + 17050616197.

It is an arithmetic number, because the mean of its divisors is an integer number (17050616197).

Almost surely, 234101232393 is an apocalyptic number.

It is an amenable number.

34101232393 is a deficient number, since it is larger than the sum of its proper divisors (1).

34101232393 is an equidigital number, since it uses as much as digits as its factorization.

34101232393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 31.

The spelling of 34101232393 in words is "thirty-four billion, one hundred one million, two hundred thirty-two thousand, three hundred ninety-three".