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12110111100 = 223252373591013
BaseRepresentation
bin10110100011101000…
…11010000101111100
31011020222022101101100
423101310122011330
5144300142023400
65321401413100
7606046150233
oct132164320574
934228271340
1012110111100
11515492978a
12241b79a190
1311acc08619
1482c4c1b1a
154ad271100
hex2d1d1a17c

12110111100 has 216 divisors, whose sum is σ = 39131557920. Its totient is φ = 3130237440.

The previous prime is 12110111081. The next prime is 12110111107. The reversal of 12110111100 is 111101121.

12110111100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110111107) 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 71 ways as a sum of consecutive naturals, for example, 11954194 + ... + 11955206.

It is an arithmetic number, because the mean of its divisors is an integer number (181164620).

Almost surely, 212110111100 is an apocalyptic number.

12110111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19565778960).

12110111100 is an abundant number, since it is smaller than the sum of its proper divisors (27021446820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12110111100 is a wasteful number, since it uses less digits than its factorization.

12110111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1419 counting only the distinct ones).

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

Adding to 12110111100 its reverse (111101121), we get a palindrome (12221212221).

The spelling of 12110111100 in words is "twelve billion, one hundred ten million, one hundred eleven thousand, one hundred".