Search a number
-
+
1024131041 is a prime number
BaseRepresentation
bin111101000010101…
…111111111100001
32122101002020200022
4331002233333201
54044134143131
6245342403225
734243653533
oct7502577741
92571066608
101024131041
1148610589a
12246b90515
131342389cb
149a02d853
155ed9b37b
hex3d0affe1

1024131041 has 2 divisors, whose sum is σ = 1024131042. Its totient is φ = 1024131040.

The previous prime is 1024131037. The next prime is 1024131049. The reversal of 1024131041 is 1401314201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 984390625 + 39740416 = 31375^2 + 6304^2 .

It is a cyclic number.

It is not a de Polignac number, because 1024131041 - 22 = 1024131037 is a prime.

It is not a weakly prime, because it can be changed into another prime (1024131049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 512065520 + 512065521.

It is an arithmetic number, because the mean of its divisors is an integer number (512065521).

Almost surely, 21024131041 is an apocalyptic number.

It is an amenable number.

1024131041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1024131041 is an equidigital number, since it uses as much as digits as its factorization.

1024131041 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 17.

The square root of 1024131041 is about 32002.0474501242. The cubic root of 1024131041 is about 1007.9798332159.

Adding to 1024131041 its reverse (1401314201), we get a palindrome (2425445242).

The spelling of 1024131041 in words is "one billion, twenty-four million, one hundred thirty-one thousand, forty-one".