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201211210200200 = 23522690573739193
BaseRepresentation
bin101101110000000000100010…
…101101010111010010001000
3222101102121022012022100020212
4231300000202231113102020
5202333121024302401300
61551535053123340252
760245013235203134
oct5560004255272210
9871377265270225
10201211210200200
1159126216657802
121a6980b7221688
13883719c1ba235
143798962cd83c4
15183de72eda935
hexb70022b57488

201211210200200 has 48 divisors (see below), whose sum is σ = 467817927552180. Its totient is φ = 80484163420160.

The previous prime is 201211210200151. The next prime is 201211210200317. The reversal of 201211210200200 is 2002012112102.

It can be written as a sum of positive squares in 6 ways, for example, as 109469639775076 + 91741570425124 = 10462774^2 + 9578182^2 .

It is a super-2 number, since 2×2012112102002002 (a number of 29 digits) contains 22 as substring.

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, 51941804 + ... + 55680996.

Almost surely, 2201211210200200 is an apocalyptic number.

201211210200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211210200200 is an abundant number, since it is smaller than the sum of its proper divisors (266606717351980).

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

201211210200200 is a wasteful number, since it uses less digits than its factorization.

201211210200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008266 (or 4008257 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201211210200200 its reverse (2002012112102), we get a palindrome (203213222312302).

The spelling of 201211210200200 in words is "two hundred one trillion, two hundred eleven billion, two hundred ten million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269057 538114 1076228 1345285 2152456 2690570 3739193 5381140 6726425 7478386 10762280 13452850 14956772 18695965 26905700 29913544 37391930 53811400 74783860 93479825 149567720 186959650 373919300 747838600 1006056051001 2012112102002 4024224204004 5030280255005 8048448408008 10060560510010 20121121020020 25151401275025 40242242040040 50302802550050 100605605100100 201211210200200