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213121213322917 is a prime number
BaseRepresentation
bin110000011101010100100110…
…001101101101011010100101
31000221121012002210101101111011
4300131110212031231122211
5210413234221102313132
62033134311144142221
762614333225326214
oct6035244615553245
91027535083341434
10213121213322917
11619a8220953679
121baa039b167971
1391bc32360bcc3
143a8b19c18d07b
151998b89e99b47
hexc1d52636d6a5

213121213322917 has 2 divisors, whose sum is σ = 213121213322918. Its totient is φ = 213121213322916.

The previous prime is 213121213322911. The next prime is 213121213322957. The reversal of 213121213322917 is 719223312121312.

213121213322917 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (213121213322957) can be obtained adding 213121213322917 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110097718620516 + 103023494702401 = 10492746^2 + 10150049^2 .

It is a cyclic number.

It is not a de Polignac number, because 213121213322917 - 215 = 213121213290149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213121213322917.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213121213322911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106560606661458 + 106560606661459.

It is an arithmetic number, because the mean of its divisors is an integer number (106560606661459).

Almost surely, 2213121213322917 is an apocalyptic number.

It is an amenable number.

213121213322917 is a deficient number, since it is larger than the sum of its proper divisors (1).

213121213322917 is an equidigital number, since it uses as much as digits as its factorization.

213121213322917 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54432, while the sum is 40.

The spelling of 213121213322917 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred thirteen million, three hundred twenty-two thousand, nine hundred seventeen".