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2201012022241 is a prime number
BaseRepresentation
bin100000000001110110100…
…010100010101111100001
321210102012022102120222201
4200001312202202233201
5242030133034202431
64403044142133201
7315006062334154
oct40016642425741
97712168376881
102201012022241
117794979a72aa
122b66a2581201
1312c72943c876
147875b12bc9b
153c3c020a461
hex200768a2be1

2201012022241 has 2 divisors, whose sum is σ = 2201012022242. Its totient is φ = 2201012022240.

The previous prime is 2201012022233. The next prime is 2201012022277. The reversal of 2201012022241 is 1422202101022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1617309910225 + 583702112016 = 1271735^2 + 764004^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201012022241 - 23 = 2201012022233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2201012023241) 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, 1100506011120 + 1100506011121.

It is an arithmetic number, because the mean of its divisors is an integer number (1100506011121).

Almost surely, 22201012022241 is an apocalyptic number.

It is an amenable number.

2201012022241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201012022241 is an equidigital number, since it uses as much as digits as its factorization.

2201012022241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2201012022241 its reverse (1422202101022), we get a palindrome (3623214123263).

The spelling of 2201012022241 in words is "two trillion, two hundred one billion, twelve million, twenty-two thousand, two hundred forty-one".