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11232003300 = 22352741191683
BaseRepresentation
bin10100111010111101…
…01100010011100100
31001222202222212221020
422131132230103210
5141000343101200
65054312451140
7545224311210
oct123536542344
931882885836
1011232003300
11484419a361
1222156a9ab0
1310a00086cb
14787a23940
1545b11aea0
hex29d7ac4e4

11232003300 has 288 divisors, whose sum is σ = 38301548544. Its totient is φ = 2487936000.

The previous prime is 11232003269. The next prime is 11232003329. The reversal of 11232003300 is 330023211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11232003300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16444759 + ... + 16445441.

It is an arithmetic number, because the mean of its divisors is an integer number (132991488).

Almost surely, 211232003300 is an apocalyptic number.

11232003300 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 11232003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150774272).

11232003300 is an abundant number, since it is smaller than the sum of its proper divisors (27069545244).

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

11232003300 is a wasteful number, since it uses less digits than its factorization.

11232003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 11232003300 its reverse (330023211), we get a palindrome (11562026511).

The spelling of 11232003300 in words is "eleven billion, two hundred thirty-two million, three thousand, three hundred".