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212200221200189 is a prime number
BaseRepresentation
bin110000001111111010110110…
…110011100100111100111101
31000211100010212021012222110212
4300033322312303210330331
5210303142023111401224
62031151234050442205
762460650204416535
oct6017726663447475
91024303767188425
10212200221200189
1161682676901322
121b9719a8893365
139153519a68701
143a5878cc244c5
15197ec34a79d0e
hexc0feb6ce4f3d

212200221200189 has 2 divisors, whose sum is σ = 212200221200190. Its totient is φ = 212200221200188.

The previous prime is 212200221200179. The next prime is 212200221200287. The reversal of 212200221200189 is 981002122002212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207914770562500 + 4285450637689 = 14419250^2 + 2070133^2 .

It is a cyclic number.

It is not a de Polignac number, because 212200221200189 - 28 = 212200221199933 is a prime.

It is a super-2 number, since 2×2122002212001892 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212200221200179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106100110600094 + 106100110600095.

It is an arithmetic number, because the mean of its divisors is an integer number (106100110600095).

Almost surely, 2212200221200189 is an apocalyptic number.

It is an amenable number.

212200221200189 is a deficient number, since it is larger than the sum of its proper divisors (1).

212200221200189 is an equidigital number, since it uses as much as digits as its factorization.

212200221200189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 212200221200189 in words is "two hundred twelve trillion, two hundred billion, two hundred twenty-one million, two hundred thousand, one hundred eighty-nine".