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212241203321 = 721032557733
BaseRepresentation
bin1100010110101010001…
…1111100000001111001
3202021211110021020121012
43011222203330001321
511434132222001241
6241300253323305
721222351314300
oct3055243740171
9667743236535
10212241203321
1182013698464
1235173196535
1317025436454
14a3b5b69437
1557c2e8c6eb
hex316a8fc079

212241203321 has 36 divisors (see below), whose sum is σ = 250101455652. Its totient is φ = 179586033984.

The previous prime is 212241203311. The next prime is 212241203323. The reversal of 212241203321 is 123302142212.

212241203321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 122279599225 + 89961604096 = 349685^2 + 299936^2 .

It is not a de Polignac number, because 212241203321 - 210 = 212241202297 is a prime.

It is a super-2 number, since 2×2122412033212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212241203323) 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 in 35 ways as a sum of consecutive naturals, for example, 289551071 + ... + 289551803.

It is an arithmetic number, because the mean of its divisors is an integer number (6947262657).

Almost surely, 2212241203321 is an apocalyptic number.

It is an amenable number.

212241203321 is a deficient number, since it is larger than the sum of its proper divisors (37860252331).

212241203321 is an equidigital number, since it uses as much as digits as its factorization.

212241203321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 212241203321 its reverse (123302142212), we get a palindrome (335543345533).

The spelling of 212241203321 in words is "two hundred twelve billion, two hundred forty-one million, two hundred three thousand, three hundred twenty-one".

Divisors: 1 7 49 103 557 721 733 3899 5047 5131 10609 27293 35917 57371 74263 75499 401597 408281 519841 528493 2811179 2857967 3699451 5909213 7776397 20005769 41364491 42052943 54434779 289551437 294370601 381043453 2060594207 4331453129 30320171903 212241203321