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10033013317 is a prime number
BaseRepresentation
bin10010101100000001…
…11010001001000101
3221220012212212212211
421112000322021011
5131021422411232
64335322143421
7503425130455
oct112600721105
927805785784
1010033013317
114289413448
121b40051b71
13c3b7a8b92
146b26b7d65
153dac2ea47
hex25603a245

10033013317 has 2 divisors, whose sum is σ = 10033013318. Its totient is φ = 10033013316.

The previous prime is 10033013303. The next prime is 10033013339. The reversal of 10033013317 is 71331033001.

It is an a-pointer prime, because the next prime (10033013339) can be obtained adding 10033013317 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6349858596 + 3683154721 = 79686^2 + 60689^2 .

It is an emirp because it is prime and its reverse (71331033001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10033013317 - 211 = 10033011269 is a prime.

It is a super-2 number, since 2×100330133172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10033013017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016506658 + 5016506659.

It is an arithmetic number, because the mean of its divisors is an integer number (5016506659).

Almost surely, 210033013317 is an apocalyptic number.

It is an amenable number.

10033013317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033013317 is an equidigital number, since it uses as much as digits as its factorization.

10033013317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 22.

Adding to 10033013317 its reverse (71331033001), we get a palindrome (81364046318).

The spelling of 10033013317 in words is "ten billion, thirty-three million, thirteen thousand, three hundred seventeen".