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11212000110 = 23253797103337
BaseRepresentation
bin10100111000100100…
…11000101101101110
31001221101100121201100
422130102120231232
5140430233000420
65052320023530
7544562266653
oct123422305556
931841317640
1011212000110
1148339776a3
12220aa61ba6
131098b239bc
147850d7c2a
154594b9190
hex29c498b6e

11212000110 has 192 divisors, whose sum is σ = 30632015232. Its totient is φ = 2842656768.

The previous prime is 11212000109. The next prime is 11212000171. The reversal of 11212000110 is 1100021211.

It is a happy number.

11212000110 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 junction number, because it is equal to n+sod(n) for n = 11212000092 and 11212000101.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 33269862 + ... + 33270198.

It is an arithmetic number, because the mean of its divisors is an integer number (159541746).

Almost surely, 211212000110 is an apocalyptic number.

11212000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15316007616).

11212000110 is an abundant number, since it is smaller than the sum of its proper divisors (19420015122).

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

11212000110 is a wasteful number, since it uses less digits than its factorization.

11212000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11212000110 its reverse (1100021211), we get a palindrome (12312021321).

The spelling of 11212000110 in words is "eleven billion, two hundred twelve million, one hundred ten", and thus it is an aban number.