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2223322201241 is a prime number
BaseRepresentation
bin100000010110101000010…
…101000111110010011001
321212112210010222010001122
4200112220111013302121
5242411330440414431
64421214034455025
7316425665615621
oct40265025076231
97775703863048
102223322201241
117879a6469a69
122baa8a134475
1313187361480b
1479876171881
153cc78ba8a7b
hex205a8547c99

2223322201241 has 2 divisors, whose sum is σ = 2223322201242. Its totient is φ = 2223322201240.

The previous prime is 2223322201207. The next prime is 2223322201267. The reversal of 2223322201241 is 1421022233222.

It is an a-pointer prime, because the next prime (2223322201267) can be obtained adding 2223322201241 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1997640197641 + 225682003600 = 1413379^2 + 475060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2223322201241 is a prime.

It is a super-4 number, since 4×22233222012414 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2223322201241.

It is not a weakly prime, because it can be changed into another prime (2223322201291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111661100620 + 1111661100621.

It is an arithmetic number, because the mean of its divisors is an integer number (1111661100621).

Almost surely, 22223322201241 is an apocalyptic number.

It is an amenable number.

2223322201241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223322201241 is an equidigital number, since it uses as much as digits as its factorization.

2223322201241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2223322201241 its reverse (1421022233222), we get a palindrome (3644344434463).

The spelling of 2223322201241 in words is "two trillion, two hundred twenty-three billion, three hundred twenty-two million, two hundred one thousand, two hundred forty-one".