Search a number
-
+
303131512393 is a prime number
BaseRepresentation
bin1000110100101000000…
…10111100111001001001
31001222102202102100011121
410122110002330321021
514431303131344033
6351131240155241
730620611225153
oct4322402747111
91058382370147
10303131512393
11107614921976
124a8ba168b21
132277b83b118
1410958dbdad3
157d4257e62d
hex46940bce49

303131512393 has 2 divisors, whose sum is σ = 303131512394. Its totient is φ = 303131512392.

The previous prime is 303131512367. The next prime is 303131512421. The reversal of 303131512393 is 393215131303.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271095166224 + 32036346169 = 520668^2 + 178987^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-303131512393 is a prime.

It is not a weakly prime, because it can be changed into another prime (303131512303) 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, 151565756196 + 151565756197.

It is an arithmetic number, because the mean of its divisors is an integer number (151565756197).

Almost surely, 2303131512393 is an apocalyptic number.

It is an amenable number.

303131512393 is a deficient number, since it is larger than the sum of its proper divisors (1).

303131512393 is an equidigital number, since it uses as much as digits as its factorization.

303131512393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21870, while the sum is 34.

Adding to 303131512393 its reverse (393215131303), we get a palindrome (696346643696).

The spelling of 303131512393 in words is "three hundred three billion, one hundred thirty-one million, five hundred twelve thousand, three hundred ninety-three".