Search a number
-
+
212044121441 = 1493134579949
BaseRepresentation
bin1100010101111011010…
…0001000010101100001
3202021022201102110002022
43011132310020111201
511433231243341231
6241224533231225
721214436202455
oct3053664102541
9667281373068
10212044121441
1181a22418979
1235119192515
1316cc3661459
14a397906665
1557b0a0cc7b
hex315ed08561

212044121441 has 16 divisors (see below), whose sum is σ = 214639410000. Its totient is φ = 209467634688.

The previous prime is 212044121417. The next prime is 212044121459. The reversal of 212044121441 is 144121440212.

It can be written as a sum of positive squares in 8 ways, for example, as 35143126225 + 176900995216 = 187465^2 + 420596^2 .

It is a cyclic number.

It is not a de Polignac number, because 212044121441 - 214 = 212044105057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212044121441.

It is not an unprimeable number, because it can be changed into a prime (212044121741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21308135 + ... + 21318083.

It is an arithmetic number, because the mean of its divisors is an integer number (13414963125).

Almost surely, 2212044121441 is an apocalyptic number.

It is an amenable number.

212044121441 is a deficient number, since it is larger than the sum of its proper divisors (2595288559).

212044121441 is a wasteful number, since it uses less digits than its factorization.

212044121441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10868.

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 212044121441 its reverse (144121440212), we get a palindrome (356165561653).

The spelling of 212044121441 in words is "two hundred twelve billion, forty-four million, one hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 149 313 457 9949 46637 68093 143041 1482401 3114037 4546693 21313109 463991513 677457257 1423114909 212044121441