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22212222112141 is a prime number
BaseRepresentation
bin1010000110011101011111…
…00110111101000110001101
32220122110121221122200001021
411003032233212331012031
510402411112330042031
6115124053131314141
74451531366511655
oct503165746750615
986573557580037
1022212222112141
117094172346846
1225a8a642ab951
13c517b0028999
1456b112107365
15287bce2ce511
hex1433af9bd18d

22212222112141 has 2 divisors, whose sum is σ = 22212222112142. Its totient is φ = 22212222112140.

The previous prime is 22212222112079. The next prime is 22212222112147. The reversal of 22212222112141 is 14121122221222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22170716199241 + 41505912900 = 4708579^2 + 203730^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22212222112141 is a prime.

It is a super-3 number, since 3×222122221121413 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22212222112147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11106111056070 + 11106111056071.

It is an arithmetic number, because the mean of its divisors is an integer number (11106111056071).

Almost surely, 222212222112141 is an apocalyptic number.

It is an amenable number.

22212222112141 is a deficient number, since it is larger than the sum of its proper divisors (1).

22212222112141 is an equidigital number, since it uses as much as digits as its factorization.

22212222112141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1024, while the sum is 25.

Adding to 22212222112141 its reverse (14121122221222), we get a palindrome (36333344333363).

The spelling of 22212222112141 in words is "twenty-two trillion, two hundred twelve billion, two hundred twenty-two million, one hundred twelve thousand, one hundred forty-one".