Search a number
-
+
1021044000013 is a prime number
BaseRepresentation
bin11101101101110101111…
…01110000010100001101
310121121111022102101111221
432312322331300110031
5113212044231000023
62101021112243341
7133524264541522
oct16667275602415
93547438371457
101021044000013
113640277a0644
12145a756a0551
1375390047a5b
14375c1251149
151b85dea585d
hexedbaf7050d

1021044000013 has 2 divisors, whose sum is σ = 1021044000014. Its totient is φ = 1021044000012.

The previous prime is 1021043999981. The next prime is 1021044000017. The reversal of 1021044000013 is 3100004401201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 670102685604 + 350941314409 = 818598^2 + 592403^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021044000013 - 25 = 1021043999981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021044000017) 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, 510522000006 + 510522000007.

It is an arithmetic number, because the mean of its divisors is an integer number (510522000007).

Almost surely, 21021044000013 is an apocalyptic number.

It is an amenable number.

1021044000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021044000013 is an equidigital number, since it uses as much as digits as its factorization.

1021044000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1021044000013 its reverse (3100004401201), we get a palindrome (4121048401214).

The spelling of 1021044000013 in words is "one trillion, twenty-one billion, forty-four million, thirteen", and thus it is an aban number.