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214220120017 is a prime number
BaseRepresentation
bin1100011110000010000…
…0111001111111010001
3202110221100221121222011
43013200200321333101
512002210322320032
6242224504342521
721322400655601
oct3074040717721
9673840847864
10214220120017
1182939744902
1235625a74a41
131727c40b287
14a5228d6c01
15588ba88247
hex31e0839fd1

214220120017 has 2 divisors, whose sum is σ = 214220120018. Its totient is φ = 214220120016.

The previous prime is 214220119951. The next prime is 214220120083. The reversal of 214220120017 is 710021022412.

214220120017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (214220119951) and next prime (214220120083).

It can be written as a sum of positive squares in only one way, i.e., 211044684816 + 3175435201 = 459396^2 + 56351^2 .

It is a cyclic number.

It is not a de Polignac number, because 214220120017 - 219 = 214219595729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214220120017.

It is not a weakly prime, because it can be changed into another prime (214220126017) 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, 107110060008 + 107110060009.

It is an arithmetic number, because the mean of its divisors is an integer number (107110060009).

Almost surely, 2214220120017 is an apocalyptic number.

It is an amenable number.

214220120017 is a deficient number, since it is larger than the sum of its proper divisors (1).

214220120017 is an equidigital number, since it uses as much as digits as its factorization.

214220120017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 22.

Adding to 214220120017 its reverse (710021022412), we get a palindrome (924241142429).

The spelling of 214220120017 in words is "two hundred fourteen billion, two hundred twenty million, one hundred twenty thousand, seventeen".