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214015245361 is a prime number
BaseRepresentation
bin1100011101010001001…
…1010111110000110001
3202110102002102220202221
43013110103113300301
512001300400322421
6242152305241041
721314332366441
oct3072423276061
9673362386687
10214015245361
1182844032505
1235589333181
1317248b38278
14a503606121
155878ab9841
hex31d44d7c31

214015245361 has 2 divisors, whose sum is σ = 214015245362. Its totient is φ = 214015245360.

The previous prime is 214015245359. The next prime is 214015245371. The reversal of 214015245361 is 163542510412.

214015245361 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., 213088408225 + 926837136 = 461615^2 + 30444^2 .

It is a cyclic number.

It is not a de Polignac number, because 214015245361 - 21 = 214015245359 is a prime.

Together with 214015245359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (214015245371) 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, 107007622680 + 107007622681.

It is an arithmetic number, because the mean of its divisors is an integer number (107007622681).

Almost surely, 2214015245361 is an apocalyptic number.

It is an amenable number.

214015245361 is a deficient number, since it is larger than the sum of its proper divisors (1).

214015245361 is an equidigital number, since it uses as much as digits as its factorization.

214015245361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 214015245361 its reverse (163542510412), we get a palindrome (377557755773).

The spelling of 214015245361 in words is "two hundred fourteen billion, fifteen million, two hundred forty-five thousand, three hundred sixty-one".