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11321130200 = 2352292238753
BaseRepresentation
bin10101000101100101…
…01011110011011000
31002012222201000001112
422202302223303120
5141141202131300
65111215035452
7550356006332
oct124262536330
932188630045
1011321130200
11488a534756
12223b50bb88
1310b5613113
147957c4452
15463d73e35
hex2a2cabcd8

11321130200 has 96 divisors (see below), whose sum is σ = 27354499200. Its totient is φ = 4352194560.

The previous prime is 11321130193. The next prime is 11321130211. The reversal of 11321130200 is 203112311.

11321130200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1289024 + ... + 1297776.

It is an arithmetic number, because the mean of its divisors is an integer number (284942700).

Almost surely, 211321130200 is an apocalyptic number.

11321130200 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 11321130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13677249600).

11321130200 is an abundant number, since it is smaller than the sum of its proper divisors (16033369000).

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

11321130200 is a wasteful number, since it uses less digits than its factorization.

11321130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9021 (or 9012 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11321130200 its reverse (203112311), we get a palindrome (11524242511).

The spelling of 11321130200 in words is "eleven billion, three hundred twenty-one million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 223 232 290 446 580 725 892 1115 1160 1450 1784 2230 2900 4460 5575 5800 6467 8753 8920 11150 12934 17506 22300 25868 32335 35012 43765 44600 51736 64670 70024 87530 129340 161675 175060 218825 253837 258680 323350 350120 437650 507674 646700 875300 1015348 1269185 1293400 1750600 1951919 2030696 2538370 3903838 5076740 6345925 7807676 9759595 10153480 12691850 15615352 19519190 25383700 39038380 48797975 50767400 56605651 78076760 97595950 113211302 195191900 226422604 283028255 390383800 452845208 566056510 1132113020 1415141275 2264226040 2830282550 5660565100 11321130200