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213322131219097 is a prime number
BaseRepresentation
bin110000100000001111101101…
…110110101010001010011001
31000222022101201002212000211101
4300200033231312222022121
5210430032211043002342
62033410500104031401
762635005163266325
oct6040175566521231
91028271632760741
10213322131219097
1161a7545385a85a
121bb13312162561
139205262b4c4c4
143a96bbc128985
15199dee8cd33b7
hexc203eddaa299

213322131219097 has 2 divisors, whose sum is σ = 213322131219098. Its totient is φ = 213322131219096.

The previous prime is 213322131218939. The next prime is 213322131219181. The reversal of 213322131219097 is 790912131223312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211734773129881 + 1587358089216 = 14551109^2 + 1259904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213322131219097 is a prime.

It is not a weakly prime, because it can be changed into another prime (213322131219797) 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, 106661065609548 + 106661065609549.

It is an arithmetic number, because the mean of its divisors is an integer number (106661065609549).

Almost surely, 2213322131219097 is an apocalyptic number.

It is an amenable number.

213322131219097 is a deficient number, since it is larger than the sum of its proper divisors (1).

213322131219097 is an equidigital number, since it uses as much as digits as its factorization.

213322131219097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 213322131219097 in words is "two hundred thirteen trillion, three hundred twenty-two billion, one hundred thirty-one million, two hundred nineteen thousand, ninety-seven".