Search a number
-
+
1010404433921 is a prime number
BaseRepresentation
bin11101011010000001100…
…11000010000000000001
310120121000211012102122112
432231000303002000001
5113023302013341141
62052101241345105
7132666522660431
oct16550063020001
93517024172575
101010404433921
1135a567a64113
121439a6498195
13743859ba80c
1436c921a62c1
151b439db17eb
hexeb40cc2001

1010404433921 has 2 divisors, whose sum is σ = 1010404433922. Its totient is φ = 1010404433920.

The previous prime is 1010404433911. The next prime is 1010404433947. The reversal of 1010404433921 is 1293344040101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 933697038400 + 76707395521 = 966280^2 + 276961^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010404433921 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010404433911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505202216960 + 505202216961.

It is an arithmetic number, because the mean of its divisors is an integer number (505202216961).

Almost surely, 21010404433921 is an apocalyptic number.

It is an amenable number.

1010404433921 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010404433921 is an equidigital number, since it uses as much as digits as its factorization.

1010404433921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 1010404433921 in words is "one trillion, ten billion, four hundred four million, four hundred thirty-three thousand, nine hundred twenty-one".