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212200101120200 = 235210110504955501
BaseRepresentation
bin110000001111111010101111…
…101001100000100011001000
31000211100010112220021021200212
4300033322233221200203020
5210303141301341321300
62031151214121020252
762460644215643234
oct6017725751404310
91024303486237625
10212200101120200
1161682615045466
121b971974624688
1391534cac1426b
143a5877acc75c4
15197ec2925a935
hexc0feafa608c8

212200101120200 has 48 divisors (see below), whose sum is σ = 498250039459860. Its totient is φ = 84039644000000.

The previous prime is 212200101120197. The next prime is 212200101120233. The reversal of 212200101120200 is 2021101002212.

It can be written as a sum of positive squares in 6 ways, for example, as 133910767408324 + 78289333711876 = 11571982^2 + 8848126^2 .

It is an unprimeable number.

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, 5252457551 + ... + 5252497950.

Almost surely, 2212200101120200 is an apocalyptic number.

212200101120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200101120200 is an abundant number, since it is smaller than the sum of its proper divisors (286049938339660).

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

212200101120200 is a wasteful number, since it uses less digits than its factorization.

212200101120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10504955618 (or 10504955609 counting only the distinct ones).

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

Adding to 212200101120200 its reverse (2021101002212), we get a palindrome (214221202122412).

The spelling of 212200101120200 in words is "two hundred twelve trillion, two hundred billion, one hundred one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 10504955501 21009911002 42019822004 52524777505 84039644008 105049555010 210099110020 262623887525 420198220040 525247775050 1050495550100 1061000505601 2100991100200 2122001011202 4244002022404 5305002528005 8488004044808 10610005056010 21220010112020 26525012640025 42440020224040 53050025280050 106100050560100 212200101120200