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1020222013 is a prime number
BaseRepresentation
bin111100110011110…
…101101000111101
32122002201122111111
4330303311220331
54042134101023
6245122522021
734165513126
oct7463655075
92562648444
101020222013
11483985998
12245806311
1313349a685
14996d304d
155e87800d
hex3ccf5a3d

1020222013 has 2 divisors, whose sum is σ = 1020222014. Its totient is φ = 1020222012.

The previous prime is 1020221977. The next prime is 1020222019. The reversal of 1020222013 is 3102220201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 907395129 + 112826884 = 30123^2 + 10622^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1020222013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020221984 and 1020222002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020222019) 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, 510111006 + 510111007.

It is an arithmetic number, because the mean of its divisors is an integer number (510111007).

Almost surely, 21020222013 is an apocalyptic number.

It is an amenable number.

1020222013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020222013 is an equidigital number, since it uses as much as digits as its factorization.

1020222013 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.

The square root of 1020222013 is about 31940.9144045689. The cubic root of 1020222013 is about 1006.6957380291.

Adding to 1020222013 its reverse (3102220201), we get a palindrome (4122442214).

The spelling of 1020222013 in words is "one billion, twenty million, two hundred twenty-two thousand, thirteen".