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12100110111 = 3217372137451
BaseRepresentation
bin10110100010011100…
…10000011100011111
31011020021111021121100
423101032100130133
5144240112010421
65320403204143
7605565144645
oct132116203437
934207437540
1012100110111
11514a218901
122418376653
1311aab1648b
1482b03b195
154ac447c26
hex2d139071f

12100110111 has 24 divisors (see below), whose sum is σ = 19006223184. Its totient is φ = 7387027200.

The previous prime is 12100110101. The next prime is 12100110149. The reversal of 12100110111 is 11101100121.

12100110111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12100110111 - 25 = 12100110079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12100110093 and 12100110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100110101) 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 23 ways as a sum of consecutive naturals, for example, 1063065 + ... + 1074386.

It is an arithmetic number, because the mean of its divisors is an integer number (791925966).

Almost surely, 212100110111 is an apocalyptic number.

12100110111 is a deficient number, since it is larger than the sum of its proper divisors (6906113073).

12100110111 is a wasteful number, since it uses less digits than its factorization.

12100110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137511 (or 2137508 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12100110111 its reverse (11101100121), we get a palindrome (23201210232).

The spelling of 12100110111 in words is "twelve billion, one hundred million, one hundred ten thousand, one hundred eleven".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 2137451 6412353 19237059 36336667 79085687 109010001 237257061 327030003 711771183 1344456679 4033370037 12100110111