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212201110212137 is a prime number
BaseRepresentation
bin110000001111111011101011…
…110010111000111000101001
31000211100020011020001110121022
4300033323223302320320221
5210303200333203242022
62031151502205222225
762461011221042234
oct6017735362707051
91024306136043538
10212201110212137
1161682a92709142
121b971bb6561975
13915362bcb5897
143a58834d2041b
15197ec87b35c42
hexc0feebcb8e29

212201110212137 has 2 divisors, whose sum is σ = 212201110212138. Its totient is φ = 212201110212136.

The previous prime is 212201110212101. The next prime is 212201110212233. The reversal of 212201110212137 is 731212011102212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122470277423641 + 89730832788496 = 11066629^2 + 9472636^2 .

It is a cyclic number.

It is not a de Polignac number, because 212201110212137 - 216 = 212201110146601 is a prime.

It is a super-2 number, since 2×2122011102121372 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212201110212337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106100555106068 + 106100555106069.

It is an arithmetic number, because the mean of its divisors is an integer number (106100555106069).

Almost surely, 2212201110212137 is an apocalyptic number.

It is an amenable number.

212201110212137 is a deficient number, since it is larger than the sum of its proper divisors (1).

212201110212137 is an equidigital number, since it uses as much as digits as its factorization.

212201110212137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 212201110212137 its reverse (731212011102212), we get a palindrome (943413121314349).

The spelling of 212201110212137 in words is "two hundred twelve trillion, two hundred one billion, one hundred ten million, two hundred twelve thousand, one hundred thirty-seven".