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212224142241 = 32171387085897
BaseRepresentation
bin1100010110100110001…
…0110110101110100001
3202021210021011110012100
43011221202312232201
511434113340022431
6241254443521013
721222053305446
oct3055142665641
9667707143170
10212224142241
1182004aa51a1
1235169529169
1317021a41937
14a3b37a79cd
1557c171c4e6
hex31698b6ba1

212224142241 has 12 divisors (see below), whose sum is σ = 324578100132. Its totient is φ = 133160246016.

The previous prime is 212224142227. The next prime is 212224142287. The reversal of 212224142241 is 142241422212.

212224142241 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 2 + 414 + 2 + 241 = 666.

212224142241 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 140883869025 + 71340273216 = 375345^2 + 267096^2 .

It is not a de Polignac number, because 212224142241 - 29 = 212224141729 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212224102241) 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 11 ways as a sum of consecutive naturals, for example, 693542796 + ... + 693543101.

It is an arithmetic number, because the mean of its divisors is an integer number (27048175011).

Almost surely, 2212224142241 is an apocalyptic number.

It is an amenable number.

212224142241 is a deficient number, since it is larger than the sum of its proper divisors (112353957891).

212224142241 is a wasteful number, since it uses less digits than its factorization.

212224142241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387085920 (or 1387085917 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 212224142241 its reverse (142241422212), we get a palindrome (354465564453).

The spelling of 212224142241 in words is "two hundred twelve billion, two hundred twenty-four million, one hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 153 1387085897 4161257691 12483773073 23580460249 70741380747 212224142241