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213212100200 = 23521196914591
BaseRepresentation
bin1100011010010001101…
…1100111011001101000
3202101100010011220201212
43012210123213121220
511443124244201300
6241540455132252
721255410643401
oct3064433473150
9671303156655
10213212100200
1182471743680
12353a4374088
131714b623948
14a468a9c9a8
15582d320935
hex31a46e7668

213212100200 has 48 divisors (see below), whose sum is σ = 540783423360. Its totient is φ = 77531672000.

The previous prime is 213212100187. The next prime is 213212100229. The reversal of 213212100200 is 2001212312.

It is a happy number.

213212100200 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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48455096 + ... + 48459495.

It is an arithmetic number, because the mean of its divisors is an integer number (11266321320).

Almost surely, 2213212100200 is an apocalyptic number.

213212100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213212100200 is an abundant number, since it is smaller than the sum of its proper divisors (327571323160).

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

213212100200 is a wasteful number, since it uses less digits than its factorization.

213212100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96914618 (or 96914609 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 213212100200 its reverse (2001212312), we get a palindrome (215213312512).

The spelling of 213212100200 in words is "two hundred thirteen billion, two hundred twelve million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 96914591 193829182 387658364 484572955 775316728 969145910 1066060501 1938291820 2132121002 2422864775 3876583640 4264242004 4845729550 5330302505 8528484008 9691459100 10660605010 19382918200 21321210020 26651512525 42642420040 53303025050 106606050100 213212100200