Search a number
-
+
11203641150 = 23521312174721
BaseRepresentation
bin10100110111100100…
…11111111100111110
31001220210121221101020
422123302133330332
5140421113004100
65051420525010
7544431243552
oct123362377476
931823557336
1011203641150
11482a188469
1222080b0766
131097188080
14783d5d862
154588b75a0
hex29bc9ff3e

11203641150 has 96 divisors (see below), whose sum is σ = 29953270368. Its totient is φ = 2754969600.

The previous prime is 11203641143. The next prime is 11203641151. The reversal of 11203641150 is 5114630211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11203641150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11203641151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2370790 + ... + 2375510.

It is an arithmetic number, because the mean of its divisors is an integer number (312013233).

Almost surely, 211203641150 is an apocalyptic number.

11203641150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11203641150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976635184).

11203641150 is an abundant number, since it is smaller than the sum of its proper divisors (18749629218).

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

11203641150 is a wasteful number, since it uses less digits than its factorization.

11203641150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 11203641150 in words is "eleven billion, two hundred three million, six hundred forty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1217 1950 2434 3651 4721 6085 7302 9442 12170 14163 15821 18255 23605 28326 30425 31642 36510 47210 47463 60850 61373 70815 79105 91275 94926 118025 122746 141630 158210 182550 184119 236050 237315 306865 354075 368238 395525 474630 613730 708150 791050 920595 1186575 1534325 1841190 2373150 3068650 4602975 5745457 9205950 11490914 17236371 28727285 34472742 57454570 74690941 86181855 143636425 149381882 172363710 224072823 287272850 373454705 430909275 448145646 746909410 861818550 1120364115 1867273525 2240728230 3734547050 5601820575 11203641150