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221232401353 is a prime number
BaseRepresentation
bin1100111000001001111…
…0101000101111001001
3210011001001210102120201
43032002132220233021
512111040443320403
6245344402052201
721661226245525
oct3160236505711
9704031712521
10221232401353
1185907a17637
1236a6234a061
1317b29124282
14a9c9d2cd85
155b4c4cb21d
hex33827a8bc9

221232401353 has 2 divisors, whose sum is σ = 221232401354. Its totient is φ = 221232401352.

The previous prime is 221232401309. The next prime is 221232401359. The reversal of 221232401353 is 353104232122.

It is a happy number.

221232401353 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., 214806294784 + 6426106569 = 463472^2 + 80163^2 .

It is a cyclic number.

It is not a de Polignac number, because 221232401353 - 233 = 212642466761 is a prime.

It is not a weakly prime, because it can be changed into another prime (221232401359) 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, 110616200676 + 110616200677.

It is an arithmetic number, because the mean of its divisors is an integer number (110616200677).

Almost surely, 2221232401353 is an apocalyptic number.

It is an amenable number.

221232401353 is a deficient number, since it is larger than the sum of its proper divisors (1).

221232401353 is an equidigital number, since it uses as much as digits as its factorization.

221232401353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 221232401353 its reverse (353104232122), we get a palindrome (574336633475).

The spelling of 221232401353 in words is "two hundred twenty-one billion, two hundred thirty-two million, four hundred one thousand, three hundred fifty-three".