Search a number
-
+
212012121111201 = 32277826910284553
BaseRepresentation
bin110000001101001011101011…
…001010101011101010100001
31000210200011100020201102001100
4300031023223022223222201
5210242101311001024301
62030525005053025013
762441241001143615
oct6015135312535241
91023604306642040
10212012121111201
116160a92124a424
121b941452485169
13913b870c38bc8
143a4d627349345
151979dc61a5286
hexc0d2eb2abaa1

212012121111201 has 24 divisors (see below), whose sum is σ = 307382487350120. Its totient is φ = 140814111350016.

The previous prime is 212012121111199. The next prime is 212012121111239. The reversal of 212012121111201 is 102111121210212.

It is a happy number.

212012121111201 is a `hidden beast` number, since 2 + 120 + 121 + 211 + 11 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21431335101201 + 190580786010000 = 4629399^2 + 13805100^2 .

It is not a de Polignac number, because 212012121111201 - 21 = 212012121111199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212012121111601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15472341 + ... + 25756893.

Almost surely, 2212012121111201 is an apocalyptic number.

It is an amenable number.

212012121111201 is a deficient number, since it is larger than the sum of its proper divisors (95370366238919).

212012121111201 is a wasteful number, since it uses less digits than its factorization.

212012121111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10293105 (or 10293102 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212012121111201 its reverse (102111121210212), we get a palindrome (314123242321413).

The spelling of 212012121111201 in words is "two hundred twelve trillion, twelve billion, one hundred twenty-one million, one hundred eleven thousand, two hundred one".

Divisors: 1 3 9 277 831 2493 8269 24807 74421 2290513 6871539 10284553 20614617 30853659 92560977 2848821181 8546463543 25639390629 85042968757 255128906271 765386718813 23556902345689 70670707037067 212012121111201