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213321213401 is a prime number
BaseRepresentation
bin1100011010101011101…
…1110110010111011001
3202101121201111102220112
43012222323312113121
511443340212312101
6241555353534105
721261204252602
oct3065273662731
9671551442815
10213321213401
1182518299a7a
1235414a14335
131716810847a
14a479382da9
155837bc56bb
hex31aaef65d9

213321213401 has 2 divisors, whose sum is σ = 213321213402. Its totient is φ = 213321213400.

The previous prime is 213321213397. The next prime is 213321213461. The reversal of 213321213401 is 104312123312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152940437776 + 60380775625 = 391076^2 + 245725^2 .

It is a cyclic number.

It is not a de Polignac number, because 213321213401 - 22 = 213321213397 is a prime.

It is not a weakly prime, because it can be changed into another prime (213321213461) 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, 106660606700 + 106660606701.

It is an arithmetic number, because the mean of its divisors is an integer number (106660606701).

Almost surely, 2213321213401 is an apocalyptic number.

It is an amenable number.

213321213401 is a deficient number, since it is larger than the sum of its proper divisors (1).

213321213401 is an equidigital number, since it uses as much as digits as its factorization.

213321213401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 213321213401 its reverse (104312123312), we get a palindrome (317633336713).

The spelling of 213321213401 in words is "two hundred thirteen billion, three hundred twenty-one million, two hundred thirteen thousand, four hundred one".