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10033033117 is a prime number
BaseRepresentation
bin10010101100000001…
…11110111110011101
3221220012220220001011
421112000332332131
5131021424024432
64335322415221
7503425242262
oct112600767635
927805826034
1010033033117
114289427308
121b40061511
13c3b7b4bb3
146b26c1269
153dac35847
hex25603ef9d

10033033117 has 2 divisors, whose sum is σ = 10033033118. Its totient is φ = 10033033116.

The previous prime is 10033033097. The next prime is 10033033187. The reversal of 10033033117 is 71133033001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9763613721 + 269419396 = 98811^2 + 16414^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10033033117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10033033187) 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, 5016516558 + 5016516559.

It is an arithmetic number, because the mean of its divisors is an integer number (5016516559).

Almost surely, 210033033117 is an apocalyptic number.

It is an amenable number.

10033033117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033033117 is an equidigital number, since it uses as much as digits as its factorization.

10033033117 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 10033033117 its reverse (71133033001), we get a palindrome (81166066118).

The spelling of 10033033117 in words is "ten billion, thirty-three million, thirty-three thousand, one hundred seventeen".