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12211112011 = 773127718713
BaseRepresentation
bin10110101111101011…
…01100100001001011
31011112000100202120211
423113311230201023
5200002021041021
65335410301551
7611413511440
oct132765544113
934460322524
1012211112011
1151a694420a
1224495878b7
1311c7b0c887
1483ba939c7
154b70723e1
hex2d7d6c84b

12211112011 has 16 divisors (see below), whose sum is σ = 14158563264. Its totient is φ = 10314653184.

The previous prime is 12211111937. The next prime is 12211112021. The reversal of 12211112011 is 11021111221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12211112011 - 213 = 12211103819 is a prime.

It is a super-2 number, since 2×122111120112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12211111982 and 12211112000.

It is not an unprimeable number, because it can be changed into a prime (12211112021) 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 15 ways as a sum of consecutive naturals, for example, 643191 + ... + 661903.

It is an arithmetic number, because the mean of its divisors is an integer number (884910204).

Almost surely, 212211112011 is an apocalyptic number.

12211112011 is a deficient number, since it is larger than the sum of its proper divisors (1947451253).

12211112011 is a wasteful number, since it uses less digits than its factorization.

12211112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20070.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12211112011 its reverse (11021111221), we get a palindrome (23232223232).

The spelling of 12211112011 in words is "twelve billion, two hundred eleven million, one hundred twelve thousand, eleven".

Divisors: 1 7 73 511 1277 8939 18713 93221 130991 652547 1366049 9562343 23896501 167275507 1744444573 12211112011