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11120002300 = 225211113137653
BaseRepresentation
bin10100101101100110…
…11100010011111100
31001200222020122110001
422112303130103330
5140233210033200
65035232124044
7542364313531
oct122663342374
931628218401
1011120002300
114796a51350
1221a4096624
131082a52624
14776bcad88
1545139576a
hex296cdc4fc

11120002300 has 144 divisors (see below), whose sum is σ = 26791847712. Its totient is φ = 3972505600.

The previous prime is 11120002297. The next prime is 11120002357. The reversal of 11120002300 is 320002111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 17028774 + ... + 17029426.

It is an arithmetic number, because the mean of its divisors is an integer number (186054498).

Almost surely, 211120002300 is an apocalyptic number.

11120002300 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 11120002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13395923856).

11120002300 is an abundant number, since it is smaller than the sum of its proper divisors (15671845412).

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

11120002300 is a wasteful number, since it uses less digits than its factorization.

11120002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11120002300 its reverse (320002111), we get a palindrome (11440004411).

The spelling of 11120002300 in words is "eleven billion, one hundred twenty million, two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 113 137 220 226 274 275 452 548 550 565 653 685 1100 1130 1243 1306 1370 1507 2260 2486 2612 2740 2825 3014 3265 3425 4972 5650 6028 6215 6530 6850 7183 7535 11300 12430 13060 13700 14366 15070 15481 16325 24860 28732 30140 30962 31075 32650 35915 37675 61924 62150 65300 71830 73789 75350 77405 89461 124300 143660 147578 150700 154810 170291 178922 179575 295156 309620 340582 357844 359150 368945 387025 447305 681164 718300 737890 774050 811679 851455 894610 984071 1475780 1548100 1623358 1702910 1789220 1844725 1968142 2236525 3246716 3405820 3689450 3936284 4058395 4257275 4473050 4920355 7378900 8116790 8514550 8946100 9840710 10109093 16233580 17029100 19681420 20218186 20291975 24601775 40436372 40583950 49203550 50545465 81167900 98407100 101090930 111200023 202181860 222400046 252727325 444800092 505454650 556000115 1010909300 1112000230 2224000460 2780000575 5560001150 11120002300