Search a number
-
+
113603388593 is a prime number
BaseRepresentation
bin110100111001101001…
…0100010010010110001
3101212020012211002020212
41221303102202102301
53330124431413333
6124104430513505
711131124604362
oct1516322422261
9355205732225
10113603388593
11441a7173312
121a025665895
13a935bc54c6
1456d99b5b69
152e4d628448
hex1a734a24b1

113603388593 has 2 divisors, whose sum is σ = 113603388594. Its totient is φ = 113603388592.

The previous prime is 113603388551. The next prime is 113603388599. The reversal of 113603388593 is 395883306311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113537324209 + 66064384 = 336953^2 + 8128^2 .

It is an emirp because it is prime and its reverse (395883306311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113603388593 - 212 = 113603384497 is a prime.

It is not a weakly prime, because it can be changed into another prime (113603388599) 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, 56801694296 + 56801694297.

It is an arithmetic number, because the mean of its divisors is an integer number (56801694297).

Almost surely, 2113603388593 is an apocalyptic number.

It is an amenable number.

113603388593 is a deficient number, since it is larger than the sum of its proper divisors (1).

113603388593 is an equidigital number, since it uses as much as digits as its factorization.

113603388593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1399680, while the sum is 50.

The spelling of 113603388593 in words is "one hundred thirteen billion, six hundred three million, three hundred eighty-eight thousand, five hundred ninety-three".