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11333000220 = 22352334923531
BaseRepresentation
bin10101000110111111…
…11101110000011100
31002020211001001122220
422203133331300130
5141202222001340
65112321305340
7550561624653
oct124337756034
932224031586
1011333000220
114896201893
122243495250
1310b7c0abb9
147971d419a
15464e1aed0
hex2a37fdc1c

11333000220 has 96 divisors (see below), whose sum is σ = 33208358400. Its totient is φ = 2882330880.

The previous prime is 11333000213. The next prime is 11333000233. The reversal of 11333000220 is 2200033311.

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 11333000220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469855 + ... + 493385.

It is an arithmetic number, because the mean of its divisors is an integer number (345920400).

Almost surely, 211333000220 is an apocalyptic number.

11333000220 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 11333000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16604179200).

11333000220 is an abundant number, since it is smaller than the sum of its proper divisors (21875358180).

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

11333000220 is a wasteful number, since it uses less digits than its factorization.

11333000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23915 (or 23913 counting only the distinct ones).

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

Adding to 11333000220 its reverse (2200033311), we get a palindrome (13533033531).

The spelling of 11333000220 in words is "eleven billion, three hundred thirty-three million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 349 460 690 698 1047 1380 1396 1745 2094 3490 4188 5235 6980 8027 10470 16054 20940 23531 24081 32108 40135 47062 48162 70593 80270 94124 96324 117655 120405 141186 160540 235310 240810 282372 352965 470620 481620 541213 705930 1082426 1411860 1623639 2164852 2706065 3247278 5412130 6494556 8118195 8212319 10824260 16236390 16424638 24636957 32472780 32849276 41061595 49273914 82123190 98547828 123184785 164246380 188883337 246369570 377766674 492739140 566650011 755533348 944416685 1133300022 1888833370 2266600044 2833250055 3777666740 5666500110 11333000220