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2223413041121 is a prime number
BaseRepresentation
bin100000010110101101101…
…111101001011111100001
321212120000110220020221122
4200112231233221133201
5242412022214303441
64421231041502025
7316431151010126
oct40265557513741
97776013806848
102223413041121
11787a42774348
122baab4641915
1313188939bb1c
147988425a74d
153cc81b4e34b
hex205adbe97e1

2223413041121 has 2 divisors, whose sum is σ = 2223413041122. Its totient is φ = 2223413041120.

The previous prime is 2223413041111. The next prime is 2223413041147. The reversal of 2223413041121 is 1211403143222.

It is a happy number.

It is an a-pointer prime, because the next prime (2223413041147) can be obtained adding 2223413041121 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2210499900625 + 12913140496 = 1486775^2 + 113636^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223413041121 - 210 = 2223413040097 is a prime.

It is not a weakly prime, because it can be changed into another prime (2223413041111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111706520560 + 1111706520561.

It is an arithmetic number, because the mean of its divisors is an integer number (1111706520561).

Almost surely, 22223413041121 is an apocalyptic number.

It is an amenable number.

2223413041121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223413041121 is an equidigital number, since it uses as much as digits as its factorization.

2223413041121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 2223413041121 its reverse (1211403143222), we get a palindrome (3434816184343).

The spelling of 2223413041121 in words is "two trillion, two hundred twenty-three billion, four hundred thirteen million, forty-one thousand, one hundred twenty-one".