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20102221212201 = 347271327257249
BaseRepresentation
bin1001001001000011010011…
…10000010010101000101001
32122011202100100201010020000
410210201221300102220221
510113323322112242301
6110430455525253213
74143223532004462
oct444415160225051
978152310633200
1020102221212201
1164503388a07a7
122307b41264209
13b2a829040c0b
144d6d4a2bbd69
1524cd890cc786
hex124869c12a29

20102221212201 has 40 divisors (see below), whose sum is σ = 30093327264000. Its totient is φ = 13372909684992.

The previous prime is 20102221212133. The next prime is 20102221212217. The reversal of 20102221212201 is 10221212220102.

It is a happy number.

20102221212201 is a `hidden beast` number, since 20 + 10 + 2 + 221 + 212 + 201 = 666.

It is not a de Polignac number, because 20102221212201 - 211 = 20102221210153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20102221212221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78014425 + ... + 78271673.

It is an arithmetic number, because the mean of its divisors is an integer number (752333181600).

Almost surely, 220102221212201 is an apocalyptic number.

It is an amenable number.

20102221212201 is a deficient number, since it is larger than the sum of its proper divisors (9991106051799).

20102221212201 is a wasteful number, since it uses less digits than its factorization.

20102221212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259315 (or 259306 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20102221212201 its reverse (10221212220102), we get a palindrome (30323433432303).

The spelling of 20102221212201 in words is "twenty trillion, one hundred two billion, two hundred twenty-one million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 9 27 81 727 1327 2181 3981 6543 11943 19629 35829 58887 107487 257249 771747 964729 2315241 2894187 6945723 8682561 20837169 26047683 78143049 187020023 341369423 561060069 1024108269 1683180207 3072324807 5049540621 9216974421 15148621863 27650923263 248175570521 744526711563 2233580134689 6700740404067 20102221212201