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2201022212197 is a prime number
BaseRepresentation
bin100000000001110111001…
…001011010100001100101
321210102020000121021222111
4200001313021122201211
5242030143141242242
64403045144401021
7315006245054404
oct40016711324145
97712200537874
102201022212197
117794a2727156
122b66a5a76171
1312c72b599a23
147875c62163b
153c3c106e817
hex2007725a865

2201022212197 has 2 divisors, whose sum is σ = 2201022212198. Its totient is φ = 2201022212196.

The previous prime is 2201022212171. The next prime is 2201022212203. The reversal of 2201022212197 is 7912122201022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1888972611201 + 312049600996 = 1374399^2 + 558614^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201022212197 - 227 = 2200887994469 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201022212107) 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, 1100511106098 + 1100511106099.

It is an arithmetic number, because the mean of its divisors is an integer number (1100511106099).

Almost surely, 22201022212197 is an apocalyptic number.

It is an amenable number.

2201022212197 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201022212197 is an equidigital number, since it uses as much as digits as its factorization.

2201022212197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 2201022212197 in words is "two trillion, two hundred one billion, twenty-two million, two hundred twelve thousand, one hundred ninety-seven".