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11212020200 = 23521716320231
BaseRepresentation
bin10100111000100100…
…11101100111101000
31001221101101122021102
422130102131213220
5140430234121300
65052320300532
7544562412353
oct123422354750
931841348242
1011212020200
1148339907a7
12220aa71748
131098b2cba4
1478510129a
154594c00d5
hex29c49d9e8

11212020200 has 96 divisors (see below), whose sum is σ = 27772061760. Its totient is φ = 4194892800.

The previous prime is 11212020191. The next prime is 11212020229. The reversal of 11212020200 is 202021211.

It is a happy number.

11212020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 544085 + ... + 564315.

It is an arithmetic number, because the mean of its divisors is an integer number (289292310).

Almost surely, 211212020200 is an apocalyptic number.

11212020200 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 11212020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13886030880).

11212020200 is an abundant number, since it is smaller than the sum of its proper divisors (16560041560).

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

11212020200 is a wasteful number, since it uses less digits than its factorization.

11212020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20427 (or 20418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11212020200 its reverse (202021211), we get a palindrome (11414041411).

The spelling of 11212020200 in words is "eleven billion, two hundred twelve million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 163 170 200 326 340 425 652 680 815 850 1304 1630 1700 2771 3260 3400 4075 5542 6520 8150 11084 13855 16300 20231 22168 27710 32600 40462 55420 69275 80924 101155 110840 138550 161848 202310 277100 343927 404620 505775 554200 687854 809240 1011550 1375708 1719635 2023100 2751416 3297653 3439270 4046200 6595306 6878540 8598175 13190612 13757080 16488265 17196350 26381224 32976530 34392700 56060101 65953060 68785400 82441325 112120202 131906120 164882650 224240404 280300505 329765300 448480808 560601010 659530600 1121202020 1401502525 2242404040 2803005050 5606010100 11212020200