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214120363657 is a prime number
BaseRepresentation
bin1100011101101010010…
…0010111011010001001
3202110200102020110222011
43013122210113122021
512002004303114112
6242210542255521
721320050026664
oct3073244273211
9673612213864
10214120363657
11828983aa432
12355b85875a1
1317264851645
14a51356a6db
155882e30aa7
hex31da917689

214120363657 has 2 divisors, whose sum is σ = 214120363658. Its totient is φ = 214120363656.

The previous prime is 214120363627. The next prime is 214120363679. The reversal of 214120363657 is 756363021412.

It is a happy number.

214120363657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142216477456 + 71903886201 = 377116^2 + 268149^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214120363657 is a prime.

It is not a weakly prime, because it can be changed into another prime (214120363627) 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, 107060181828 + 107060181829.

It is an arithmetic number, because the mean of its divisors is an integer number (107060181829).

Almost surely, 2214120363657 is an apocalyptic number.

It is an amenable number.

214120363657 is a deficient number, since it is larger than the sum of its proper divisors (1).

214120363657 is an equidigital number, since it uses as much as digits as its factorization.

214120363657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 214120363657 in words is "two hundred fourteen billion, one hundred twenty million, three hundred sixty-three thousand, six hundred fifty-seven".