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11313113112 = 2332722446653
BaseRepresentation
bin10101000100101000…
…00110100000011000
31002012102121200200100
422202110012200120
5141132124104422
65110331135400
7550230606030
oct124224064030
932172550610
1011313113112
114885a59364
1222388a4560
1310b3a66c92
147946d88c0
154632dd7ac
hex2a2506818

11313113112 has 48 divisors (see below), whose sum is σ = 35016780240. Its totient is φ = 3232317888.

The previous prime is 11313113101. The next prime is 11313113113. The reversal of 11313113112 is 21131131311.

11313113112 is a `hidden beast` number, since 11 + 31 + 311 + 311 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313113113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11222823 + ... + 11223830.

It is an arithmetic number, because the mean of its divisors is an integer number (729516255).

Almost surely, 211313113112 is an apocalyptic number.

11313113112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11313113112 is an abundant number, since it is smaller than the sum of its proper divisors (23703667128).

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

11313113112 is a wasteful number, since it uses less digits than its factorization.

11313113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22446672 (or 22446665 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 11313113112 its reverse (21131131311), we get a palindrome (32444244423).

The spelling of 11313113112 in words is "eleven billion, three hundred thirteen million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 22446653 44893306 67339959 89786612 134679918 157126571 179573224 202019877 269359836 314253142 404039754 471379713 538719672 628506284 808079508 942759426 1257012568 1414139139 1616159016 1885518852 2828278278 3771037704 5656556556 11313113112