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11300233000 = 2353721032239
BaseRepresentation
bin10101000011000101…
…11101111100101000
31002011112101022111011
422201202331330220
5141120324424000
65105151113304
7550013252500
oct124142757450
932145338434
1011300233000
114879761341
122234512834
1310b11a7504
14792b04a00
154620e72ba
hex2a18bdf28

11300233000 has 192 divisors, whose sum is σ = 31072204800. Its totient is φ = 3835036800.

The previous prime is 11300232997. The next prime is 11300233027. The reversal of 11300233000 is 33200311.

11300233000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 5045881 + ... + 5048119.

It is an arithmetic number, because the mean of its divisors is an integer number (161834400).

Almost surely, 211300233000 is an apocalyptic number.

11300233000 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 11300233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15536102400).

11300233000 is an abundant number, since it is smaller than the sum of its proper divisors (19771971800).

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

11300233000 is a wasteful number, since it uses less digits than its factorization.

11300233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 11300233000 its reverse (33200311), we get a palindrome (11333433311).

The spelling of 11300233000 in words is "eleven billion, three hundred million, two hundred thirty-three thousand".