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12211102211 = 711863183761
BaseRepresentation
bin10110101111101011…
…01010001000000011
31011112000100021010212
423113311222020003
5200002020232321
65335410144335
7611413441040
oct132765521003
934460307125
1012211102211
1151a6937910
1224495820ab
1311c7b08289
1483ba901c7
154b706e55b
hex2d7d6a203

12211102211 has 16 divisors (see below), whose sum is σ = 15241955328. Its totient is φ = 9504067200.

The previous prime is 12211102199. The next prime is 12211102217. The reversal of 12211102211 is 11220111221.

12211102211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12211102211 - 230 = 11137360387 is a prime.

It is a super-2 number, since 2×122111022112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12211102217) 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, 25430 + ... + 158331.

It is an arithmetic number, because the mean of its divisors is an integer number (952622208).

Almost surely, 212211102211 is an apocalyptic number.

12211102211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12211102211 is a deficient number, since it is larger than the sum of its proper divisors (3030853117).

12211102211 is a wasteful number, since it uses less digits than its factorization.

12211102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184642.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12211102211 its reverse (11220111221), we get a palindrome (23431213432).

The spelling of 12211102211 in words is "twelve billion, two hundred eleven million, one hundred two thousand, two hundred eleven".

Divisors: 1 7 11 77 863 6041 9493 66451 183761 1286327 2021371 14149597 158585743 1110100201 1744443173 12211102211