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22021231002241 is a prime number
BaseRepresentation
bin1010000000111001101111…
…01001101100001010000001
32212222012122110012000111011
411000130313221230022001
510341243440114032431
6114500225221120521
74431660430043452
oct500346751541201
985865573160434
1022021231002241
117020173899069
122577a41859141
13c39793280413
14561b946b3129
15282c51be0cb1
hex140737a6c281

22021231002241 has 2 divisors, whose sum is σ = 22021231002242. Its totient is φ = 22021231002240.

The previous prime is 22021231002217. The next prime is 22021231002283. The reversal of 22021231002241 is 14220013212022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18203056382016 + 3818174620225 = 4266504^2 + 1954015^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22021231002241 is a prime.

It is a super-2 number, since 2×220212310022412 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22021231002941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11010615501120 + 11010615501121.

It is an arithmetic number, because the mean of its divisors is an integer number (11010615501121).

Almost surely, 222021231002241 is an apocalyptic number.

It is an amenable number.

22021231002241 is a deficient number, since it is larger than the sum of its proper divisors (1).

22021231002241 is an equidigital number, since it uses as much as digits as its factorization.

22021231002241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 22021231002241 its reverse (14220013212022), we get a palindrome (36241244214263).

The spelling of 22021231002241 in words is "twenty-two trillion, twenty-one billion, two hundred thirty-one million, two thousand, two hundred forty-one".