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2042420422213 is a prime number
BaseRepresentation
bin11101101110001001101…
…111100110011001000101
321020020211210100120112201
4131232021233212121011
5231430334112002323
64202135221514501
7300363040100263
oct35561157463105
97206753316481
102042420422213
1171820509a966
1228ba02572a31
1311a7a3c02c12
1470bd46b5433
15381dc2218ad
hex1db89be6645

2042420422213 has 2 divisors, whose sum is σ = 2042420422214. Its totient is φ = 2042420422212.

The previous prime is 2042420422201. The next prime is 2042420422247. The reversal of 2042420422213 is 3122240242402.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2040675104484 + 1745317729 = 1428522^2 + 41777^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042420422213 - 25 = 2042420422181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2042420422253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021210211106 + 1021210211107.

It is an arithmetic number, because the mean of its divisors is an integer number (1021210211107).

Almost surely, 22042420422213 is an apocalyptic number.

It is an amenable number.

2042420422213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042420422213 is an equidigital number, since it uses as much as digits as its factorization.

2042420422213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2042420422213 its reverse (3122240242402), we get a palindrome (5164660664615).

The spelling of 2042420422213 in words is "two trillion, forty-two billion, four hundred twenty million, four hundred twenty-two thousand, two hundred thirteen".