Search a number
-
+
12110202220112 = 242473306060509
BaseRepresentation
bin1011000000111010000001…
…0011010010111001010000
31120212201112210222221000022
42300032200103102321100
53041403143232020422
641431203342043012
72356635046304663
oct260164023227120
946781483887008
1012110202220112
1139499a9493977
121437056279468
1369acaaa70459
142dc1cb9a16da
15160032b60342
hexb03a04d2e50

12110202220112 has 20 divisors (see below), whose sum is σ = 23473004753940. Its totient is φ = 6052652606208.

The previous prime is 12110202220099. The next prime is 12110202220117. The reversal of 12110202220112 is 21102220201121.

It can be written as a sum of positive squares in 2 ways, for example, as 9683199662656 + 2427002557456 = 3111784^2 + 1557884^2 .

It is a super-3 number, since 3×121102022201123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110202220117) 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 3 ways as a sum of consecutive naturals, for example, 152990687 + ... + 153069822.

It is an arithmetic number, because the mean of its divisors is an integer number (1173650237697).

Almost surely, 212110202220112 is an apocalyptic number.

It is an amenable number.

12110202220112 is a deficient number, since it is larger than the sum of its proper divisors (11362802533828).

12110202220112 is a wasteful number, since it uses less digits than its factorization.

12110202220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306062990 (or 306062984 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12110202220112 its reverse (21102220201121), we get a palindrome (33212422421233).

The spelling of 12110202220112 in words is "twelve trillion, one hundred ten billion, two hundred two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 2473 4946 9892 19784 39568 306060509 612121018 1224242036 2448484072 4896968144 756887638757 1513775277514 3027550555028 6055101110056 12110202220112