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221122102133 is a prime number
BaseRepresentation
bin1100110111101111100…
…1111000001101110101
3210010202101020122111102
43031323321320031311
512110324224232013
6245325422015445
721655416566462
oct3157371701565
9703671218442
10221122102133
1185860731159
1236a31417585
1317b0c31596a
14a9b941a669
155b4298ed58
hex337be78375

221122102133 has 2 divisors, whose sum is σ = 221122102134. Its totient is φ = 221122102132.

The previous prime is 221122102093. The next prime is 221122102153. The reversal of 221122102133 is 331201221122.

It is an a-pointer prime, because the next prime (221122102153) can be obtained adding 221122102133 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217116857764 + 4005244369 = 465958^2 + 63287^2 .

It is a cyclic number.

It is not a de Polignac number, because 221122102133 - 214 = 221122085749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221122102153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110561051066 + 110561051067.

It is an arithmetic number, because the mean of its divisors is an integer number (110561051067).

Almost surely, 2221122102133 is an apocalyptic number.

It is an amenable number.

221122102133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221122102133 is an equidigital number, since it uses as much as digits as its factorization.

221122102133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221122102133 its reverse (331201221122), we get a palindrome (552323323255).

The spelling of 221122102133 in words is "two hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, one hundred thirty-three".