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34101232289 is a prime number
BaseRepresentation
bin11111110000100101…
…111000001010100001
310021000120111002102022
4133300211320022201
51024314403413124
623355455431225
72315026456205
oct376045701241
9107016432368
1034101232289
111350a290603
126738525515
1332a5c6c177
141916dd0b05
15d48be8c5e
hex7f09782a1

34101232289 has 2 divisors, whose sum is σ = 34101232290. Its totient is φ = 34101232288.

The previous prime is 34101232273. The next prime is 34101232307. The reversal of 34101232289 is 98223210143.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29744176225 + 4357056064 = 172465^2 + 66008^2 .

It is a cyclic number.

It is not a de Polignac number, because 34101232289 - 24 = 34101232273 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34101432289) 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, 17050616144 + 17050616145.

It is an arithmetic number, because the mean of its divisors is an integer number (17050616145).

Almost surely, 234101232289 is an apocalyptic number.

It is an amenable number.

34101232289 is a deficient number, since it is larger than the sum of its proper divisors (1).

34101232289 is an equidigital number, since it uses as much as digits as its factorization.

34101232289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 34101232289 in words is "thirty-four billion, one hundred one million, two hundred thirty-two thousand, two hundred eighty-nine".