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1022023033013 is a prime number
BaseRepresentation
bin11101101111101010101…
…00011110000010110101
310121201000112122102022102
432313311110132002311
5113221100344024023
62101302204311445
7133560453305243
oct16676524360265
93551015572272
101022023033013
1136448a3a3624
121460a9542585
13754b7b23618
14376752a1793
151b8b9de4628
hexedf551e0b5

1022023033013 has 2 divisors, whose sum is σ = 1022023033014. Its totient is φ = 1022023033012.

The previous prime is 1022023033001. The next prime is 1022023033079. The reversal of 1022023033013 is 3103303202201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 700808402449 + 321214630564 = 837143^2 + 566758^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022023033013 - 28 = 1022023032757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022023039013) 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, 511011516506 + 511011516507.

It is an arithmetic number, because the mean of its divisors is an integer number (511011516507).

Almost surely, 21022023033013 is an apocalyptic number.

It is an amenable number.

1022023033013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022023033013 is an equidigital number, since it uses as much as digits as its factorization.

1022023033013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1022023033013 its reverse (3103303202201), we get a palindrome (4125326235214).

The spelling of 1022023033013 in words is "one trillion, twenty-two billion, twenty-three million, thirty-three thousand, thirteen".