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12211310011 = 831731794751
BaseRepresentation
bin10110101111101100…
…11100110110111011
31011112000201211012011
423113312130312323
5200002043410021
65335414430351
7611415264625
oct132766346673
934460654164
1012211310011
1151a6a69a4a
1224496623b7
1311c7b7ba34
1483bb05c15
154b70b0de1
hex2d7d9cdbb

12211310011 has 16 divisors (see below), whose sum is σ = 12501941760. Its totient is φ = 11924932000.

The previous prime is 12211309993. The next prime is 12211310047. The reversal of 12211310011 is 11001311221.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12211310011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12211309973 and 12211310000.

It is not an unprimeable number, because it can be changed into a prime (12211310711) 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 15 ways as a sum of consecutive naturals, for example, 2567886 + ... + 2572636.

It is an arithmetic number, because the mean of its divisors is an integer number (781371360).

Almost surely, 212211310011 is an apocalyptic number.

12211310011 is a deficient number, since it is larger than the sum of its proper divisors (290631749).

12211310011 is a wasteful number, since it uses less digits than its factorization.

12211310011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12211310011 its reverse (11001311221), we get a palindrome (23212621232).

The spelling of 12211310011 in words is "twelve billion, two hundred eleven million, three hundred ten thousand, eleven".

Divisors: 1 83 173 179 4751 14359 14857 30967 394333 821923 850429 2570261 68219609 70585607 147124217 12211310011