Search a number
-
+
221332000133 is a prime number
BaseRepresentation
bin1100111000100001101…
…0100100110110000101
3210011022000012120102102
43032020122210312011
512111241443001013
6245402320521445
721663545650136
oct3161032446605
9704260176372
10221332000133
1185959164682
1236a8b780285
1317b4395726a
14a9d9257c8d
155b56101d58
hex33886a4d85

221332000133 has 2 divisors, whose sum is σ = 221332000134. Its totient is φ = 221332000132.

The previous prime is 221332000121. The next prime is 221332000151. The reversal of 221332000133 is 331000233122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116211446404 + 105120553729 = 340898^2 + 324223^2 .

It is a cyclic number.

It is not a de Polignac number, because 221332000133 - 220 = 221330951557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221332000193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110666000066 + 110666000067.

It is an arithmetic number, because the mean of its divisors is an integer number (110666000067).

Almost surely, 2221332000133 is an apocalyptic number.

It is an amenable number.

221332000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221332000133 is an equidigital number, since it uses as much as digits as its factorization.

221332000133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 221332000133 its reverse (331000233122), we get a palindrome (552332233255).

The spelling of 221332000133 in words is "two hundred twenty-one billion, three hundred thirty-two million, one hundred thirty-three", and thus it is an aban number.