Search a number
-
+
312232210193 is a prime number
BaseRepresentation
bin1001000101100100111…
…11010110111100010001
31002211220222222200121002
410202302133112330101
520103422421211233
6355234255511345
731362255665621
oct4426237267421
91084828880532
10312232210193
11110464a40922
1250619b28555
132359c1176c7
141117d928881
1581c64ec6e8
hex48b27d6f11

312232210193 has 2 divisors, whose sum is σ = 312232210194. Its totient is φ = 312232210192.

The previous prime is 312232210189. The next prime is 312232210229. The reversal of 312232210193 is 391012232213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187122860929 + 125109349264 = 432577^2 + 353708^2 .

It is a cyclic number.

It is not a de Polignac number, because 312232210193 - 22 = 312232210189 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (312232210093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156116105096 + 156116105097.

It is an arithmetic number, because the mean of its divisors is an integer number (156116105097).

Almost surely, 2312232210193 is an apocalyptic number.

It is an amenable number.

312232210193 is a deficient number, since it is larger than the sum of its proper divisors (1).

312232210193 is an equidigital number, since it uses as much as digits as its factorization.

312232210193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 312232210193 in words is "three hundred twelve billion, two hundred thirty-two million, two hundred ten thousand, one hundred ninety-three".