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212210120020221 = 346169616169921
BaseRepresentation
bin110000010000000100000100…
…110100100101000011111101
31000211101002102010121010210000
4300100010010310211003331
5210303322311211121341
62031155552220504513
762461450413123261
oct6020040464450375
91024332363533700
10212210120020221
1161686896499324
121b9738ab9ab139
1391544367bb27b
143a5904b76a0a1
151980113aed8b6
hexc10104d250fd

212210120020221 has 40 divisors (see below), whose sum is σ = 322248387223928. Its totient is φ = 139134163968000.

The previous prime is 212210120020207. The next prime is 212210120020267. The reversal of 212210120020221 is 122020021012212.

It is a happy number.

212210120020221 is a `hidden beast` number, since 2 + 1 + 221 + 0 + 1 + 200 + 20 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24094795736025 + 188115324284196 = 4908645^2 + 13715514^2 .

It is not a de Polignac number, because 212210120020221 - 214 = 212210120003837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212210120020194 and 212210120020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212210120020271) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31309341 + ... + 37479261.

Almost surely, 2212210120020221 is an apocalyptic number.

It is an amenable number.

212210120020221 is a deficient number, since it is larger than the sum of its proper divisors (110038267203707).

212210120020221 is an equidigital number, since it uses as much as digits as its factorization.

212210120020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6176955 (or 6176946 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212210120020221 its reverse (122020021012212), we get a palindrome (334230141032433).

The spelling of 212210120020221 in words is "two hundred twelve trillion, two hundred ten billion, one hundred twenty million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 27 61 81 183 549 1647 4941 6961 20883 62649 187947 424621 563841 1273863 3821589 6169921 11464767 18509763 34394301 55529289 166587867 376365181 499763601 1129095543 3387286629 10161859887 30485579661 42948820081 128846460243 386539380729 1159618142187 2619878024941 3478854426561 7859634074823 23578902224469 70736706673407 212210120020221