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191017632401 is a prime number
BaseRepresentation
bin1011000111100110001…
…0011100001010010001
3200021001100101010120222
42301321202130022101
511112201003214101
6223430254442425
716541411041241
oct2617142341221
9607040333528
10191017632401
1174012523502
123102b503415
131502240376b
149361179b21
154e7eacc01b
hex2c7989c291

191017632401 has 2 divisors, whose sum is σ = 191017632402. Its totient is φ = 191017632400.

The previous prime is 191017632391. The next prime is 191017632427. The reversal of 191017632401 is 104236710191.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178197958225 + 12819674176 = 422135^2 + 113224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-191017632401 is a prime.

It is not a weakly prime, because it can be changed into another prime (191017632451) 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, 95508816200 + 95508816201.

It is an arithmetic number, because the mean of its divisors is an integer number (95508816201).

Almost surely, 2191017632401 is an apocalyptic number.

It is an amenable number.

191017632401 is a deficient number, since it is larger than the sum of its proper divisors (1).

191017632401 is an equidigital number, since it uses as much as digits as its factorization.

191017632401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 35.

The spelling of 191017632401 in words is "one hundred ninety-one billion, seventeen million, six hundred thirty-two thousand, four hundred one".