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214223133301 is a prime number
BaseRepresentation
bin1100011110000010110…
…0011001101001110101
3202110221120121201102021
43013200230121221311
512002212110231201
6242225053113141
721322435405642
oct3074054315165
9673846551367
10214223133301
1182940412821
1235626a887b1
131727cc24998
14a52307cdc9
15588be80ea1
hex31e0b19a75

214223133301 has 2 divisors, whose sum is σ = 214223133302. Its totient is φ = 214223133300.

The previous prime is 214223133203. The next prime is 214223133331. The reversal of 214223133301 is 103331322412.

214223133301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209406912100 + 4816221201 = 457610^2 + 69399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214223133301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214223133331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107111566650 + 107111566651.

It is an arithmetic number, because the mean of its divisors is an integer number (107111566651).

Almost surely, 2214223133301 is an apocalyptic number.

It is an amenable number.

214223133301 is a deficient number, since it is larger than the sum of its proper divisors (1).

214223133301 is an equidigital number, since it uses as much as digits as its factorization.

214223133301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 214223133301 its reverse (103331322412), we get a palindrome (317554455713).

The spelling of 214223133301 in words is "two hundred fourteen billion, two hundred twenty-three million, one hundred thirty-three thousand, three hundred one".