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22564102133 is a prime number
BaseRepresentation
bin10101000000111011…
…001101111111110101
32011020112100011010102
4111000323031333311
5332202402232013
614211003003445
71426105463216
oct250073157765
964215304112
1022564102133
1196299359a1
124458809585
13218798c231
141140a6140d
158c0e09d58
hex540ecdff5

22564102133 has 2 divisors, whose sum is σ = 22564102134. Its totient is φ = 22564102132.

The previous prime is 22564102129. The next prime is 22564102189. The reversal of 22564102133 is 33120146522.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19750648369 + 2813453764 = 140537^2 + 53042^2 .

It is a cyclic number.

It is not a de Polignac number, because 22564102133 - 22 = 22564102129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22564102096 and 22564102105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22564102733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11282051066 + 11282051067.

It is an arithmetic number, because the mean of its divisors is an integer number (11282051067).

Almost surely, 222564102133 is an apocalyptic number.

It is an amenable number.

22564102133 is a deficient number, since it is larger than the sum of its proper divisors (1).

22564102133 is an equidigital number, since it uses as much as digits as its factorization.

22564102133 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 29.

Adding to 22564102133 its reverse (33120146522), we get a palindrome (55684248655).

The spelling of 22564102133 in words is "twenty-two billion, five hundred sixty-four million, one hundred two thousand, one hundred thirty-three".