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201221202221 = 13532691085681
BaseRepresentation
bin1011101101100110110…
…1111110000100101101
3201020101110012012000022
42323121231332010231
511244100111432341
6232234552411525
720352306666224
oct2733155760455
9636343165008
10201221202221
1178379139536
1232bb86a6ba5
1315c8a328040
149a4c36dcbb
15537a79be4b
hex2ed9b7e12d

201221202221 has 16 divisors (see below), whose sum is σ = 221609409840. Its totient is φ = 181560437760.

The previous prime is 201221202211. The next prime is 201221202233. The reversal of 201221202221 is 122202122102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8210353321 + 193010848900 = 90611^2 + 439330^2 .

It is not a de Polignac number, because 201221202221 - 222 = 201217007917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201221202221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201221202211) 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 15 ways as a sum of consecutive naturals, for example, 357500 + ... + 728181.

It is an arithmetic number, because the mean of its divisors is an integer number (13850588115).

Almost surely, 2201221202221 is an apocalyptic number.

It is an amenable number.

201221202221 is a deficient number, since it is larger than the sum of its proper divisors (20388207619).

201221202221 is a wasteful number, since it uses less digits than its factorization.

201221202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086016.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 201221202221 its reverse (122202122102), we get a palindrome (323423324323).

The spelling of 201221202221 in words is "two hundred one billion, two hundred twenty-one million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 13 53 269 689 3497 14257 185341 1085681 14113853 57541093 292048189 748034209 3796626457 15478554017 201221202221