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2221123002341 is a prime number
BaseRepresentation
bin100000010100100101001…
…111110101111111100101
321212100002212210020022112
4200110211033311333211
5242342324442033331
64420211514210405
7316320333004205
oct40244517657745
97770085706275
102221123002341
11786a78037311
122ba575723a05
131315b2b039a9
1479708062405
153cb9aa9932b
hex205253f5fe5

2221123002341 has 2 divisors, whose sum is σ = 2221123002342. Its totient is φ = 2221123002340.

The previous prime is 2221123002271. The next prime is 2221123002367. The reversal of 2221123002341 is 1432003211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1538954378116 + 682168624225 = 1240546^2 + 825935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221123002341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221123502341) 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, 1110561501170 + 1110561501171.

It is an arithmetic number, because the mean of its divisors is an integer number (1110561501171).

Almost surely, 22221123002341 is an apocalyptic number.

It is an amenable number.

2221123002341 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221123002341 is an equidigital number, since it uses as much as digits as its factorization.

2221123002341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2221123002341 its reverse (1432003211222), we get a palindrome (3653126213563).

The spelling of 2221123002341 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-three million, two thousand, three hundred forty-one".