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12211101111 = 31133058127
BaseRepresentation
bin10110101111101011…
…01001110110110111
31011112000100012122010
423113311221312313
5200002020213421
65335410135303
7611413434606
oct132765516667
934460305563
1012211101111
1151a6937000
122449581533
1311c7b07921
1483ba8da3d
154b706e076
hex2d7d69db7

12211101111 has 16 divisors (see below), whose sum is σ = 17908397568. Its totient is φ = 7400664920.

The previous prime is 12211101101. The next prime is 12211101163. The reversal of 12211101111 is 11110111221.

It is not a de Polignac number, because 12211101111 - 215 = 12211068343 is a prime.

It is a super-2 number, since 2×122111011112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211101101) 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, 1525071 + ... + 1533056.

It is an arithmetic number, because the mean of its divisors is an integer number (1119274848).

Almost surely, 212211101111 is an apocalyptic number.

12211101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12211101111 is a deficient number, since it is larger than the sum of its proper divisors (5697296457).

12211101111 is an equidigital number, since it uses as much as digits as its factorization.

12211101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058163 (or 3058141 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12211101111 its reverse (11110111221), we get a palindrome (23321212332).

It can be divided in two parts, 1221110 and 1111, that added together give a palindrome (1222221).

The spelling of 12211101111 in words is "twelve billion, two hundred eleven million, one hundred one thousand, one hundred eleven".

Divisors: 1 3 11 33 121 363 1331 3993 3058127 9174381 33639397 100918191 370033367 1110100101 4070367037 12211101111