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212414112457 is a prime number
BaseRepresentation
bin1100010111010011011…
…1100010001011001001
3202022021111121221100021
43011310313202023021
511440011003044312
6241325351340441
721226551110461
oct3056467421311
9668244557307
10212414112457
11820a2257678
1235201081721
13170521c6951
14a3d0ad8ba1
1557d3244c07
hex3174de22c9

212414112457 has 2 divisors, whose sum is σ = 212414112458. Its totient is φ = 212414112456.

The previous prime is 212414112437. The next prime is 212414112539. The reversal of 212414112457 is 754211414212.

212414112457 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 can be written as a sum of positive squares in only one way, i.e., 209657757456 + 2756355001 = 457884^2 + 52501^2 .

It is a cyclic number.

It is not a de Polignac number, because 212414112457 - 27 = 212414112329 is a prime.

It is not a weakly prime, because it can be changed into another prime (212414112437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106207056228 + 106207056229.

It is an arithmetic number, because the mean of its divisors is an integer number (106207056229).

Almost surely, 2212414112457 is an apocalyptic number.

It is an amenable number.

212414112457 is a deficient number, since it is larger than the sum of its proper divisors (1).

212414112457 is an equidigital number, since it uses as much as digits as its factorization.

212414112457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17920, while the sum is 34.

Adding to 212414112457 its reverse (754211414212), we get a palindrome (966625526669).

The spelling of 212414112457 in words is "two hundred twelve billion, four hundred fourteen million, one hundred twelve thousand, four hundred fifty-seven".