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11232004200 = 2335243435349
BaseRepresentation
bin10100111010111101…
…01100100001101000
31001222202222221011120
422131132230201220
5141000343113300
65054312455240
7545224313634
oct123536544150
931882887146
1011232004200
11484419aaaa
1222156aa520
1310a0008c41
14787a23dc4
1545b11b3a0
hex29d7ac868

11232004200 has 96 divisors (see below), whose sum is σ = 35629044000. Its totient is φ = 2925538560.

The previous prime is 11232004177. The next prime is 11232004213. The reversal of 11232004200 is 240023211.

11232004200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11232004200.

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 23 ways as a sum of consecutive naturals, for example, 191875 + ... + 243474.

It is an arithmetic number, because the mean of its divisors is an integer number (371135875).

Almost surely, 211232004200 is an apocalyptic number.

11232004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11232004200 is an abundant number, since it is smaller than the sum of its proper divisors (24397039800).

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

11232004200 is a wasteful number, since it uses less digits than its factorization.

11232004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435411 (or 435402 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 11232004200 its reverse (240023211), we get a palindrome (11472027411).

The spelling of 11232004200 in words is "eleven billion, two hundred thirty-two million, four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 6450 8600 12900 25800 435349 870698 1306047 1741396 2176745 2612094 3482792 4353490 5224188 6530235 8706980 10448376 10883725 13060470 17413960 18720007 21767450 26120940 32651175 37440014 43534900 52241880 56160021 65302350 74880028 87069800 93600035 112320042 130604700 149760056 187200070 224640084 261209400 280800105 374400140 449280168 468000175 561600210 748800280 936000350 1123200420 1404000525 1872000700 2246400840 2808001050 3744001400 5616002100 11232004200