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211322440341013 is a prime number
BaseRepresentation
bin110000000011001001010110…
…111111010101011000010101
31000201020020011012200012102011
4300003021112333111120111
5210144301324211403023
62025240104444344221
762340354033262321
oct6003112677253025
91021206135605364
10211322440341013
1161374386453931
121b84b855845071
1390bb80b65ac11
143a280bc744981
151966ead01750d
hexc03256fd5615

211322440341013 has 2 divisors, whose sum is σ = 211322440341014. Its totient is φ = 211322440341012.

The previous prime is 211322440340933. The next prime is 211322440341031. The reversal of 211322440341013 is 310143044223112.

It is a happy number.

Together with next prime (211322440341031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114860047729284 + 96462392611729 = 10717278^2 + 9821527^2 .

It is a cyclic number.

It is not a de Polignac number, because 211322440341013 - 217 = 211322440209941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211322440341083) 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, 105661220170506 + 105661220170507.

It is an arithmetic number, because the mean of its divisors is an integer number (105661220170507).

Almost surely, 2211322440341013 is an apocalyptic number.

It is an amenable number.

211322440341013 is a deficient number, since it is larger than the sum of its proper divisors (1).

211322440341013 is an equidigital number, since it uses as much as digits as its factorization.

211322440341013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 211322440341013 its reverse (310143044223112), we get a palindrome (521465484564125).

The spelling of 211322440341013 in words is "two hundred eleven trillion, three hundred twenty-two billion, four hundred forty million, three hundred forty-one thousand, thirteen".