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11105560116 = 223272191033217
BaseRepresentation
bin10100101011111000…
…10110011000110100
31001122222001220111100
422111330112120310
5140221010410431
65033554410100
7542130463200
oct122574263064
931588056440
1011105560116
114789887762
12219b290930
13107ca66b61
14774d0bb00
1544ee914e6
hex295f16634

11105560116 has 216 divisors, whose sum is σ = 34718873280. Its totient is φ = 2975906304.

The previous prime is 11105560099. The next prime is 11105560117. The reversal of 11105560116 is 61106550111.

11105560116 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 55 + 601 + 1 + 6 = 666.

11105560116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11105560116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105560117) 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, 3450540 + ... + 3453756.

Almost surely, 211105560116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11105560116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17359436640).

11105560116 is an abundant number, since it is smaller than the sum of its proper divisors (23613313164).

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

11105560116 is a wasteful number, since it uses less digits than its factorization.

11105560116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

It can be divided in two parts, 111055 and 60116, that added together give a palindrome (171171).

The spelling of 11105560116 in words is "eleven billion, one hundred five million, five hundred sixty thousand, one hundred sixteen".