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221122012002010 = 2572451269412249
BaseRepresentation
bin110010010001101111111010…
…111110100011011011011010
31001222221001120012121220002121
4302101233322332203123122
5212440330340033031020
62102142014442451454
764401352410111100
oct6221577276433332
91058831505556077
10221122012002010
1164502356155279
1220972b16503b8a
13964c940812a32
143c86510931c70
151a86d570c5baa
hexc91bfafa36da

221122012002010 has 24 divisors (see below), whose sum is σ = 463002416968500. Its totient is φ = 75813261257664.

The previous prime is 221122012001987. The next prime is 221122012002019. The reversal of 221122012002010 is 10200210221122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 185328008471529 + 35794003530481 = 13613523^2 + 5982809^2 .

It is not an unprimeable number, because it can be changed into a prime (221122012002019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225634705635 + ... + 225634706614.

Almost surely, 2221122012002010 is an apocalyptic number.

221122012002010 is an abundant number, since it is smaller than the sum of its proper divisors (241880404966490).

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

221122012002010 is a wasteful number, since it uses less digits than its factorization.

221122012002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451269412270 (or 451269412263 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221122012002010 its reverse (10200210221122), we get a palindrome (231322222223132).

The spelling of 221122012002010 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, twelve million, two thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 451269412249 902538824498 2256347061245 3158885885743 4512694122490 6317771771486 15794429428715 22112201200201 31588858857430 44224402400402 110561006001005 221122012002010