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2243121322201 is a prime number
BaseRepresentation
bin100000101001000100011…
…100110001100011011001
321221102212222111200001221
4200221010130301203121
5243222403024302301
64434250430412041
7321026431434424
oct40510434614331
97842788450057
102243121322201
11795336565651
12302894961021
131336aa4b7cc6
147a7d38c69bb
153d536e94da1
hex20a447318d9

2243121322201 has 2 divisors, whose sum is σ = 2243121322202. Its totient is φ = 2243121322200.

The previous prime is 2243121322181. The next prime is 2243121322279. The reversal of 2243121322201 is 1022231213422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2113592592400 + 129528729801 = 1453820^2 + 359901^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2243121322201 is a prime.

It is a super-2 number, since 2×22431213222012 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2243121352201) 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, 1121560661100 + 1121560661101.

It is an arithmetic number, because the mean of its divisors is an integer number (1121560661101).

Almost surely, 22243121322201 is an apocalyptic number.

It is an amenable number.

2243121322201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2243121322201 is an equidigital number, since it uses as much as digits as its factorization.

2243121322201 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 25.

Adding to 2243121322201 its reverse (1022231213422), we get a palindrome (3265352535623).

The spelling of 2243121322201 in words is "two trillion, two hundred forty-three billion, one hundred twenty-one million, three hundred twenty-two thousand, two hundred one".