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20221333312181 is a prime number
BaseRepresentation
bin1001001100100001001010…
…11000111001001010110101
32122121010210111010201212112
410212100211120321022311
510122301242311442211
6111001315143100405
74154641330105211
oct446204530711265
978533714121775
1020221333312181
116496901538451
122327043741705
13b38b2c2aa251
144dca09737941
1525100b14688b
hex1264256392b5

20221333312181 has 2 divisors, whose sum is σ = 20221333312182. Its totient is φ = 20221333312180.

The previous prime is 20221333312153. The next prime is 20221333312211. The reversal of 20221333312181 is 18121333312202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18911704840081 + 1309628472100 = 4348759^2 + 1144390^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20221333312181 is a prime.

It is a super-2 number, since 2×202213333121812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20221333312151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10110666656090 + 10110666656091.

It is an arithmetic number, because the mean of its divisors is an integer number (10110666656091).

Almost surely, 220221333312181 is an apocalyptic number.

It is an amenable number.

20221333312181 is a deficient number, since it is larger than the sum of its proper divisors (1).

20221333312181 is an equidigital number, since it uses as much as digits as its factorization.

20221333312181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 20221333312181 its reverse (18121333312202), we get a palindrome (38342666624383).

The spelling of 20221333312181 in words is "twenty trillion, two hundred twenty-one billion, three hundred thirty-three million, three hundred twelve thousand, one hundred eighty-one".