Search a number
-
+
312110320337 is a prime number
BaseRepresentation
bin1001000101010110011…
…10011000101011010001
31002211121111122001010222
410202223032120223101
520103200220222322
6355214223202425
731356245643614
oct4425316305321
91084544561128
10312110320337
11110402159202
12505a5146415
132357caab52a
141116b67a17b
1581ba971e42
hex48ab398ad1

312110320337 has 2 divisors, whose sum is σ = 312110320338. Its totient is φ = 312110320336.

The previous prime is 312110320303. The next prime is 312110320351. The reversal of 312110320337 is 733023011213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 299251667521 + 12858652816 = 547039^2 + 113396^2 .

It is an emirp because it is prime and its reverse (733023011213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312110320337 - 218 = 312110058193 is a prime.

It is not a weakly prime, because it can be changed into another prime (312110320237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156055160168 + 156055160169.

It is an arithmetic number, because the mean of its divisors is an integer number (156055160169).

Almost surely, 2312110320337 is an apocalyptic number.

It is an amenable number.

312110320337 is a deficient number, since it is larger than the sum of its proper divisors (1).

312110320337 is an equidigital number, since it uses as much as digits as its factorization.

312110320337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 26.

The spelling of 312110320337 in words is "three hundred twelve billion, one hundred ten million, three hundred twenty thousand, three hundred thirty-seven".