Search a number
-
+
11232000300 = 22352175234211
BaseRepresentation
bin10100111010111101…
…01011100100101100
31001222202222201211010
422131132223210230
5141000343002200
65054312425220
7545224266363
oct123536534454
931882881733
1011232000300
114844198084
1222156a8210
1310a0007231
14787a227da
1545b11a150
hex29d7ab92c

11232000300 has 144 divisors (see below), whose sum is σ = 34483542912. Its totient is φ = 2812953600.

The previous prime is 11232000281. The next prime is 11232000323. The reversal of 11232000300 is 300023211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2665195 + ... + 2669405.

It is an arithmetic number, because the mean of its divisors is an integer number (239469048).

Almost surely, 211232000300 is an apocalyptic number.

11232000300 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 11232000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17241771456).

11232000300 is an abundant number, since it is smaller than the sum of its proper divisors (23251542612).

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

11232000300 is a wasteful number, since it uses less digits than its factorization.

11232000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11232000300 its reverse (300023211), we get a palindrome (11532023511).

The spelling of 11232000300 in words is "eleven billion, two hundred thirty-two million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 523 850 1020 1046 1275 1569 1700 2092 2550 2615 3138 4211 5100 5230 6276 7845 8422 8891 10460 12633 13075 15690 16844 17782 21055 25266 26150 26673 31380 35564 39225 42110 44455 50532 52300 53346 63165 71587 78450 84220 88910 105275 106692 126330 133365 143174 156900 177820 210550 214761 222275 252660 266730 286348 315825 357935 421100 429522 444550 533460 631650 666825 715870 859044 889100 1073805 1263300 1333650 1431740 1789675 2147610 2202353 2667300 3579350 4295220 4404706 5369025 6607059 7158700 8809412 10738050 11011765 13214118 21476100 22023530 26428236 33035295 37440001 44047060 55058825 66070590 74880002 110117650 112320003 132141180 149760004 165176475 187200005 220235300 224640006 330352950 374400010 449280012 561600015 660705900 748800020 936000025 1123200030 1872000050 2246400060 2808000075 3744000100 5616000150 11232000300