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211121021120200 = 23522281462781721
BaseRepresentation
bin110000000000001101110001…
…011101111110111011001000
31000200111222020221212121221221
4300000031301131332323020
5210133001322401321300
62025003354055411424
762316663500200312
oct6000156135767310
91020458227777857
10211121021120200
11612a6a16566074
121b818802983b74
1390a581c2c0719
143a1c451d8a7b2
151961b201a331a
hexc0037177eec8

211121021120200 has 48 divisors (see below), whose sum is σ = 491071568665860. Its totient is φ = 84411385728000.

The previous prime is 211121021120197. The next prime is 211121021120201. The reversal of 211121021120200 is 2021120121112.

It can be written as a sum of positive squares in 6 ways, for example, as 128973590075716 + 82147431044484 = 11356654^2 + 9063522^2 .

It is not an unprimeable number, because it can be changed into a prime (211121021120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230934661 + ... + 231847060.

Almost surely, 2211121021120200 is an apocalyptic number.

211121021120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121021120200 is an abundant number, since it is smaller than the sum of its proper divisors (279950547545660).

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

211121021120200 is a wasteful number, since it uses less digits than its factorization.

211121021120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462784018 (or 462784009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211121021120200 its reverse (2021120121112), we get a palindrome (213142141241312).

The spelling of 211121021120200 in words is "two hundred eleven trillion, one hundred twenty-one billion, twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2281 4562 9124 11405 18248 22810 45620 57025 91240 114050 228100 456200 462781721 925563442 1851126884 2313908605 3702253768 4627817210 9255634420 11569543025 18511268840 23139086050 46278172100 92556344200 1055605105601 2111210211202 4222420422404 5278025528005 8444840844808 10556051056010 21112102112020 26390127640025 42224204224040 52780255280050 105560510560100 211121021120200