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1026112313 is a prime number
BaseRepresentation
bin111101001010010…
…011101100111001
32122111210220110202
4331022103230321
54100141043223
6245453051545
734266545042
oct7512235471
92574726422
101026112313
11487239406
12247786bb5
13134780765
149a3c78c9
156013d428
hex3d293b39

1026112313 has 2 divisors, whose sum is σ = 1026112314. Its totient is φ = 1026112312.

The previous prime is 1026112291. The next prime is 1026112337. The reversal of 1026112313 is 3132116201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 804459769 + 221652544 = 28363^2 + 14888^2 .

It is a cyclic number.

It is not a de Polignac number, because 1026112313 - 28 = 1026112057 is a prime.

It is not a weakly prime, because it can be changed into another prime (1026112343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 513056156 + 513056157.

It is an arithmetic number, because the mean of its divisors is an integer number (513056157).

Almost surely, 21026112313 is an apocalyptic number.

It is an amenable number.

1026112313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1026112313 is an equidigital number, since it uses as much as digits as its factorization.

1026112313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1026112313 is about 32032.9878874887. The cubic root of 1026112313 is about 1008.6294231865.

Adding to 1026112313 its reverse (3132116201), we get a palindrome (4158228514).

The spelling of 1026112313 in words is "one billion, twenty-six million, one hundred twelve thousand, three hundred thirteen".