Search a number
-
+
221032113293 is a prime number
BaseRepresentation
bin1100110111011010001…
…0100110010010001101
3210010112002220202000102
43031312202212102031
512110133210111133
6245312445140445
721653244651365
oct3156642462215
9703462822012
10221032113293
1185814958212
1236a0725a725
1317ac6798b24
14a9ab4b39a5
155b39b167e8
hex33768a648d

221032113293 has 2 divisors, whose sum is σ = 221032113294. Its totient is φ = 221032113292.

The previous prime is 221032113271. The next prime is 221032113311. The reversal of 221032113293 is 392311230122.

221032113293 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., 200486331049 + 20545782244 = 447757^2 + 143338^2 .

It is a cyclic number.

It is not a de Polignac number, because 221032113293 - 212 = 221032109197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221032110293) 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, 110516056646 + 110516056647.

It is an arithmetic number, because the mean of its divisors is an integer number (110516056647).

Almost surely, 2221032113293 is an apocalyptic number.

It is an amenable number.

221032113293 is a deficient number, since it is larger than the sum of its proper divisors (1).

221032113293 is an equidigital number, since it uses as much as digits as its factorization.

221032113293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 221032113293 in words is "two hundred twenty-one billion, thirty-two million, one hundred thirteen thousand, two hundred ninety-three".