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221211011041 is a prime number
BaseRepresentation
bin1100111000000100110…
…1000010011111100001
3210010222120112200120221
43032001031002133201
512111020004323131
6245342315403041
721660546366226
oct3160115023741
9703876480527
10221211011041
11858a6937799
1236a57153481
1317b24875097
14a9c716194d
155b4a6a3411
hex33813427e1

221211011041 has 2 divisors, whose sum is σ = 221211011042. Its totient is φ = 221211011040.

The previous prime is 221211011017. The next prime is 221211011051. The reversal of 221211011041 is 140110112122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212639954641 + 8571056400 = 461129^2 + 92580^2 .

It is a cyclic number.

It is not a de Polignac number, because 221211011041 - 237 = 83772057569 is a prime.

It is a super-2 number, since 2×2212110110412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221211011051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110605505520 + 110605505521.

It is an arithmetic number, because the mean of its divisors is an integer number (110605505521).

Almost surely, 2221211011041 is an apocalyptic number.

It is an amenable number.

221211011041 is a deficient number, since it is larger than the sum of its proper divisors (1).

221211011041 is an equidigital number, since it uses as much as digits as its factorization.

221211011041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221211011041 its reverse (140110112122), we get a palindrome (361321123163).

The spelling of 221211011041 in words is "two hundred twenty-one billion, two hundred eleven million, eleven thousand, forty-one".