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212441013441 = 342622728561
BaseRepresentation
bin1100010111011001111…
…0001001110011000001
3202022100101020122120000
43011312132021303001
511440034344412231
6241332152110213
721230325551136
oct3056636116301
9668311218500
10212441013441
1182106460798
123520a095369
13170579551a7
14a3d44dc58d
1557d57aa6e6
hex3176789cc1

212441013441 has 10 divisors (see below), whose sum is σ = 317350156002. Its totient is φ = 141627342240.

The previous prime is 212441013403. The next prime is 212441013457. The reversal of 212441013441 is 144310144212.

212441013441 is a `hidden beast` number, since 212 + 4 + 4 + 1 + 0 + 1 + 3 + 441 = 666.

212441013441 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 only one way, i.e., 157815507600 + 54625505841 = 397260^2 + 233721^2 .

It is not a de Polignac number, because 212441013441 - 27 = 212441013313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212441015441) 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 9 ways as a sum of consecutive naturals, for example, 1311364200 + ... + 1311364361.

Almost surely, 2212441013441 is an apocalyptic number.

It is an amenable number.

212441013441 is a deficient number, since it is larger than the sum of its proper divisors (104909142561).

212441013441 is an equidigital number, since it uses as much as digits as its factorization.

212441013441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622728573 (or 2622728564 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 212441013441 its reverse (144310144212), we get a palindrome (356751157653).

The spelling of 212441013441 in words is "two hundred twelve billion, four hundred forty-one million, thirteen thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 2622728561 7868185683 23604557049 70813671147 212441013441