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11040324120 = 2332576171821
BaseRepresentation
bin10100100100000110…
…11111101000011000
31001111102022120112100
422102003133220120
5140102310332440
65023304243400
7540406130610
oct122203375030
931442276470
1011040324120
114755a7aa11
122181470560
13106c3a5887
1476a3a9a40
154493a7230
hex2920dfa18

11040324120 has 192 divisors, whose sum is σ = 41679743040. Its totient is φ = 2482099200.

The previous prime is 11040324049. The next prime is 11040324173. The reversal of 11040324120 is 2142304011.

11040324120 is a `hidden beast` number, since 1 + 1 + 0 + 403 + 241 + 20 = 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 = 11040324093 and 11040324102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117810 + ... + 189630.

It is an arithmetic number, because the mean of its divisors is an integer number (217081995).

Almost surely, 211040324120 is an apocalyptic number.

11040324120 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 11040324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20839871520).

11040324120 is an abundant number, since it is smaller than the sum of its proper divisors (30639418920).

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

11040324120 is a wasteful number, since it uses less digits than its factorization.

11040324120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71906 (or 71899 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11040324120 its reverse (2142304011), we get a palindrome (13182628131).

The spelling of 11040324120 in words is "eleven billion, forty million, three hundred twenty-four thousand, one hundred twenty".