Search a number
-
+
1017409993 is a prime number
BaseRepresentation
bin111100101001000…
…111000111001001
32121220102210010121
4330221013013021
54040424104433
6244542343241
734132561615
oct7451070711
92556383117
101017409993
11482335206
1224488ab21
13132a24762
14991a0345
155e4bec2d
hex3ca471c9

1017409993 has 2 divisors, whose sum is σ = 1017409994. Its totient is φ = 1017409992.

The previous prime is 1017409963. The next prime is 1017410003. The reversal of 1017409993 is 3999047101.

It is a happy number.

1017409993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 910349584 + 107060409 = 30172^2 + 10347^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1017409993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1017409903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508704996 + 508704997.

It is an arithmetic number, because the mean of its divisors is an integer number (508704997).

Almost surely, 21017409993 is an apocalyptic number.

It is an amenable number.

1017409993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017409993 is an equidigital number, since it uses as much as digits as its factorization.

1017409993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61236, while the sum is 43.

The square root of 1017409993 is about 31896.8649399906. The cubic root of 1017409993 is about 1005.7699743634.

The spelling of 1017409993 in words is "one billion, seventeen million, four hundred nine thousand, nine hundred ninety-three".