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10032114017 is a prime number
BaseRepresentation
bin10010101011111010…
…11110100101100001
3221220011012012021102
421111331132211201
5131021210122032
64335251004145
7503414363552
oct112575364541
927804165242
1010032114017
114288959822
121b3b899655
13c3b552753
146b2522329
153dab03362
hex255f5e961

10032114017 has 2 divisors, whose sum is σ = 10032114018. Its totient is φ = 10032114016.

The previous prime is 10032113983. The next prime is 10032114031. The reversal of 10032114017 is 71041123001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6002530576 + 4029583441 = 77476^2 + 63479^2 .

It is an emirp because it is prime and its reverse (71041123001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10032114017 - 28 = 10032113761 is a prime.

It is a super-6 number, since 6×100321140176 (a number of 61 digits) contains 666666 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10032114017.

It is not a weakly prime, because it can be changed into another prime (10032114077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016057008 + 5016057009.

It is an arithmetic number, because the mean of its divisors is an integer number (5016057009).

Almost surely, 210032114017 is an apocalyptic number.

It is an amenable number.

10032114017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032114017 is an equidigital number, since it uses as much as digits as its factorization.

10032114017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 10032114017 its reverse (71041123001), we get a palindrome (81073237018).

The spelling of 10032114017 in words is "ten billion, thirty-two million, one hundred fourteen thousand, seventeen".