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11233300320 = 253451178797
BaseRepresentation
bin10100111011000111…
…01000111101100000
31001222212102210010000
422131203220331200
5141001211102240
65054400340000
7545241322464
oct123543507540
931885383100
1011233300320
1148449a5880
122216014600
1310a0370b88
14787c804a4
1545b2c5430
hex29d8e8f60

11233300320 has 240 divisors, whose sum is σ = 43248755088. Its totient is φ = 2723189760.

The previous prime is 11233300297. The next prime is 11233300357. The reversal of 11233300320 is 2300333211.

11233300320 is a `hidden beast` number, since 1 + 12 + 3 + 330 + 0 + 320 = 666.

11233300320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 11233300293 and 11233300302.

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 39 ways as a sum of consecutive naturals, for example, 103162 + ... + 181958.

Almost surely, 211233300320 is an apocalyptic number.

11233300320 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 11233300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21624377544).

11233300320 is an abundant number, since it is smaller than the sum of its proper divisors (32015454768).

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

11233300320 is a wasteful number, since it uses less digits than its factorization.

11233300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78835 (or 78818 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11233300320 its reverse (2300333211), we get a palindrome (13533633531).

The spelling of 11233300320 in words is "eleven billion, two hundred thirty-three million, three hundred thousand, three hundred twenty".