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214124300353 is a prime number
BaseRepresentation
bin1100011101101011001…
…1011000100001000001
3202110200200122111002201
43013122303120201001
512002011310102403
6242211202513201
721320125344145
oct3073263304101
9673620574081
10214124300353
118289a6490a7
12355b9965801
13172655cc452
14a513cb3225
15588345c21d
hex31dacd8841

214124300353 has 2 divisors, whose sum is σ = 214124300354. Its totient is φ = 214124300352.

The previous prime is 214124300317. The next prime is 214124300363. The reversal of 214124300353 is 353003421412.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173828957184 + 40295343169 = 416928^2 + 200737^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214124300353 is a prime.

It is not a weakly prime, because it can be changed into another prime (214124300363) 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, 107062150176 + 107062150177.

It is an arithmetic number, because the mean of its divisors is an integer number (107062150177).

Almost surely, 2214124300353 is an apocalyptic number.

It is an amenable number.

214124300353 is a deficient number, since it is larger than the sum of its proper divisors (1).

214124300353 is an equidigital number, since it uses as much as digits as its factorization.

214124300353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 214124300353 its reverse (353003421412), we get a palindrome (567127721765).

The spelling of 214124300353 in words is "two hundred fourteen billion, one hundred twenty-four million, three hundred thousand, three hundred fifty-three".