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11340312120 = 2333531595741
BaseRepresentation
bin10101000111110111…
…10110111000111000
31002021022210112201000
422203323312320320
5141211104441440
65113142125000
7551011030314
oct124373667070
932238715630
1011340312120
11489a346385
122245a20760
1310b959b077
14798178b44
154658b2730
hex2a3ef6e38

11340312120 has 256 divisors, whose sum is σ = 39688704000. Its totient is φ = 2876428800.

The previous prime is 11340312103. The next prime is 11340312131. The reversal of 11340312120 is 2121304311.

11340312120 is a `hidden beast` number, since 1 + 1 + 340 + 312 + 12 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11340312093 and 11340312102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1972450 + ... + 1978190.

It is an arithmetic number, because the mean of its divisors is an integer number (155034000).

Almost surely, 211340312120 is an apocalyptic number.

11340312120 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 11340312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19844352000).

11340312120 is an abundant number, since it is smaller than the sum of its proper divisors (28348391880).

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

11340312120 is a wasteful number, since it uses less digits than its factorization.

11340312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5851 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11340312120 its reverse (2121304311), we get a palindrome (13461616431).

The spelling of 11340312120 in words is "eleven billion, three hundred forty million, three hundred twelve thousand, one hundred twenty".