Search a number
-
+
1017921864941 is a prime number
BaseRepresentation
bin11101101000000001101…
…11110000010011101101
310121022102201120111100122
432310000313300103231
5113134200444134231
62055343222134325
7133354024043102
oct16640067602355
93538381514318
101017921864941
113627753a0323
12145343b813a5
1374cb326c857
14373a6734aa9
151b729d3877b
hexed00df04ed

1017921864941 has 2 divisors, whose sum is σ = 1017921864942. Its totient is φ = 1017921864940.

The previous prime is 1017921864917. The next prime is 1017921864989. The reversal of 1017921864941 is 1494681297101.

1017921864941 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 550298396041 + 467623468900 = 741821^2 + 683830^2 .

It is a cyclic number.

It is not a de Polignac number, because 1017921864941 - 230 = 1016848123117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1017921864041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508960932470 + 508960932471.

It is an arithmetic number, because the mean of its divisors is an integer number (508960932471).

Almost surely, 21017921864941 is an apocalyptic number.

It is an amenable number.

1017921864941 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017921864941 is an equidigital number, since it uses as much as digits as its factorization.

1017921864941 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 870912, while the sum is 53.

The spelling of 1017921864941 in words is "one trillion, seventeen billion, nine hundred twenty-one million, eight hundred sixty-four thousand, nine hundred forty-one".