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221012001220 = 22511050600061
BaseRepresentation
bin1100110111010101010…
…1111000000111000100
3210010110201001221102211
43031311111320013010
512110113033014340
6245310450113204
721652612004533
oct3156525700704
9703421057384
10221012001220
118580457076a
1236a0057b804
1317ac25766aa
14a9a895a31a
155b37e925ea
hex33755781c4

221012001220 has 12 divisors (see below), whose sum is σ = 464125202604. Its totient is φ = 88404800480.

The previous prime is 221012001193. The next prime is 221012001241. The reversal of 221012001220 is 22100210122.

It is a happy number.

221012001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 124455139524 + 96556861696 = 352782^2 + 310736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221012001220.

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 3 ways as a sum of consecutive naturals, for example, 5525300011 + ... + 5525300050.

It is an arithmetic number, because the mean of its divisors is an integer number (38677100217).

Almost surely, 2221012001220 is an apocalyptic number.

221012001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221012001220 is an abundant number, since it is smaller than the sum of its proper divisors (243113201384).

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

221012001220 is a wasteful number, since it uses less digits than its factorization.

221012001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11050600070 (or 11050600068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221012001220 its reverse (22100210122), we get a palindrome (243112211342).

The spelling of 221012001220 in words is "two hundred twenty-one billion, twelve million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 11050600061 22101200122 44202400244 55253000305 110506000610 221012001220