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221313133 is a prime number
BaseRepresentation
bin11010011000011…
…11100001101101
3120102102212112201
431030033201231
5423124010013
633543301501
75325062536
oct1514174155
9512385481
10221313133
11103a1a918
126214a891
1336b0a322
142156d68d
15146693dd
hexd30f86d

221313133 has 2 divisors, whose sum is σ = 221313134. Its totient is φ = 221313132.

The previous prime is 221313101. The next prime is 221313139. The reversal of 221313133 is 331313122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217061289 + 4251844 = 14733^2 + 2062^2 .

It is a cyclic number.

It is not a de Polignac number, because 221313133 - 25 = 221313101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221313133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221313139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110656566 + 110656567.

It is an arithmetic number, because the mean of its divisors is an integer number (110656567).

Almost surely, 2221313133 is an apocalyptic number.

It is an amenable number.

221313133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221313133 is an equidigital number, since it uses as much as digits as its factorization.

221313133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 19.

The square root of 221313133 is about 14876.5968218541. The cubic root of 221313133 is about 604.8797730271.

Adding to 221313133 its reverse (331313122), we get a palindrome (552626255).

The spelling of 221313133 in words is "two hundred twenty-one million, three hundred thirteen thousand, one hundred thirty-three".