Search a number
-
+
312426550393 is a prime number
BaseRepresentation
bin1001000101111100001…
…00101101010001111001
31002212102112200012020021
410202332010231101321
520104322144103033
6355305441130441
731400135601256
oct4427604552171
91085375605207
10312426550393
11110554708561
1250673029a21
132360046c7c9
141119b67642d
1581d85d9b2d
hex48be12d479

312426550393 has 2 divisors, whose sum is σ = 312426550394. Its totient is φ = 312426550392.

The previous prime is 312426550351. The next prime is 312426550441. The reversal of 312426550393 is 393055624213.

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., 284774851449 + 27651698944 = 533643^2 + 166288^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312426550393 is a prime.

It is a super-2 number, since 2×3124265503932 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312426554393) 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, 156213275196 + 156213275197.

It is an arithmetic number, because the mean of its divisors is an integer number (156213275197).

Almost surely, 2312426550393 is an apocalyptic number.

It is an amenable number.

312426550393 is a deficient number, since it is larger than the sum of its proper divisors (1).

312426550393 is an equidigital number, since it uses as much as digits as its factorization.

312426550393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 583200, while the sum is 43.

The spelling of 312426550393 in words is "three hundred twelve billion, four hundred twenty-six million, five hundred fifty thousand, three hundred ninety-three".