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12202020013 is a prime number
BaseRepresentation
bin10110101110100110…
…00000110010101101
31011111101020211201011
423113103000302231
5144442204120023
65334443345221
7611243313241
oct132723006255
934441224634
1012202020013
1151a17a4267
122446522211
1311c5c783b1
1483a7a8421
154b637850d
hex2d74c0cad

12202020013 has 2 divisors, whose sum is σ = 12202020014. Its totient is φ = 12202020012.

The previous prime is 12202019983. The next prime is 12202020043. The reversal of 12202020013 is 31002020221.

12202020013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (12202019983) and next prime (12202020043).

It can be written as a sum of positive squares in only one way, i.e., 7042902084 + 5159117929 = 83922^2 + 71827^2 .

It is a cyclic number.

It is not a de Polignac number, because 12202020013 - 25 = 12202019981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12202019975 and 12202020002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12202020043) 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, 6101010006 + 6101010007.

It is an arithmetic number, because the mean of its divisors is an integer number (6101010007).

Almost surely, 212202020013 is an apocalyptic number.

It is an amenable number.

12202020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12202020013 is an equidigital number, since it uses as much as digits as its factorization.

12202020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12202020013 its reverse (31002020221), we get a palindrome (43204040234).

The spelling of 12202020013 in words is "twelve billion, two hundred two million, twenty thousand, thirteen".