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212333301212353 is a prime number
BaseRepresentation
bin110000010001110110110010…
…111111100010010011000001
31000211210212100211202001111021
4300101312302333202103001
5210312332100102243403
62031332323313145441
762503401101023306
oct6021666277422301
91024725324661437
10212333301212353
1161724058020152
121b993748b5b281
139162c37a8a539
143a60db53a30ad
151983422ed98bd
hexc11db2fe24c1

212333301212353 has 2 divisors, whose sum is σ = 212333301212354. Its totient is φ = 212333301212352.

The previous prime is 212333301212297. The next prime is 212333301212467. The reversal of 212333301212353 is 353212103333212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204990892155009 + 7342409057344 = 14317503^2 + 2709688^2 .

It is a cyclic number.

It is not a de Polignac number, because 212333301212353 - 217 = 212333301081281 is a prime.

It is not a weakly prime, because it can be changed into another prime (212333301212653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106166650606176 + 106166650606177.

It is an arithmetic number, because the mean of its divisors is an integer number (106166650606177).

Almost surely, 2212333301212353 is an apocalyptic number.

It is an amenable number.

212333301212353 is a deficient number, since it is larger than the sum of its proper divisors (1).

212333301212353 is an equidigital number, since it uses as much as digits as its factorization.

212333301212353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 34.

Adding to 212333301212353 its reverse (353212103333212), we get a palindrome (565545404545565).

The spelling of 212333301212353 in words is "two hundred twelve trillion, three hundred thirty-three billion, three hundred one million, two hundred twelve thousand, three hundred fifty-three".