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10022202013 is a prime number
BaseRepresentation
bin10010101010101111…
…01010101010011101
3221212110112121120011
421111113222222131
5131011140431023
64334254323221
7503234211565
oct112527525235
927773477504
1010022202013
1142832a978a
121b384b9511
13c39491c65
146b10a1da5
153d9ce650d
hex2555eaa9d

10022202013 has 2 divisors, whose sum is σ = 10022202014. Its totient is φ = 10022202012.

The previous prime is 10022201993. The next prime is 10022202041. The reversal of 10022202013 is 31020222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7263641529 + 2758560484 = 85227^2 + 52522^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10022202013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022201984 and 10022202002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022203013) 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, 5011101006 + 5011101007.

It is an arithmetic number, because the mean of its divisors is an integer number (5011101007).

Almost surely, 210022202013 is an apocalyptic number.

It is an amenable number.

10022202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022202013 is an equidigital number, since it uses as much as digits as its factorization.

10022202013 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 10022202013 its reverse (31020222001), we get a palindrome (41042424014).

The spelling of 10022202013 in words is "ten billion, twenty-two million, two hundred two thousand, thirteen".