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212001010005727 is a prime number
BaseRepresentation
bin110000001101000001010100…
…111001001011011011011111
31000210122002122220012202202101
4300031001110321023123133
5210241411032030140402
62030515530335305531
762440365442253245
oct6015012471133337
91023562586182671
10212001010005727
116160613a325428
121b93b27137b2a7
13913a7bccacc97
143a4cc917d6795
1519799759bab87
hexc0d054e4b6df

212001010005727 has 2 divisors, whose sum is σ = 212001010005728. Its totient is φ = 212001010005726.

The previous prime is 212001010005691. The next prime is 212001010005767. The reversal of 212001010005727 is 727500010100212.

212001010005727 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212001010005727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212001010005695 and 212001010005704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212001010005767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106000505002863 + 106000505002864.

It is an arithmetic number, because the mean of its divisors is an integer number (106000505002864).

Almost surely, 2212001010005727 is an apocalyptic number.

212001010005727 is a deficient number, since it is larger than the sum of its proper divisors (1).

212001010005727 is an equidigital number, since it uses as much as digits as its factorization.

212001010005727 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1960, while the sum is 28.

Adding to 212001010005727 its reverse (727500010100212), we get a palindrome (939501020105939).

The spelling of 212001010005727 in words is "two hundred twelve trillion, one billion, ten million, five thousand, seven hundred twenty-seven".