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201020122102221 = 3237853707695229
BaseRepresentation
bin101101101101001110100100…
…111110000111100111001101
3222100202100001221100012001200
4231231032210332013213031
5202322003202224232341
61551311211430300113
760225140010155562
oct5555164476074715
9870670057305050
10201020122102221
1159062178385494
121a6670681b7639
138822168314086
14378d5d6658869
151838edc13edb6
hexb6d3a4f879cd

201020122102221 has 24 divisors (see below), whose sum is σ = 298559632851480. Its totient is φ = 130238568199296.

The previous prime is 201020122102213. The next prime is 201020122102249. The reversal of 201020122102221 is 122201221020102.

It is a happy number.

201020122102221 is a `hidden beast` number, since 20 + 1 + 0 + 201 + 221 + 0 + 2 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73151858928996 + 127868263173225 = 8552886^2 + 11307885^2 .

It is not a de Polignac number, because 201020122102221 - 23 = 201020122102213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201020122102194 and 201020122102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020122102271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353563566 + ... + 354131663.

It is an arithmetic number, because the mean of its divisors is an integer number (12439984702145).

Almost surely, 2201020122102221 is an apocalyptic number.

It is an amenable number.

201020122102221 is a deficient number, since it is larger than the sum of its proper divisors (97539510749259).

201020122102221 is a wasteful number, since it uses less digits than its factorization.

201020122102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707696125 (or 707696122 counting only the distinct ones).

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

Adding to 201020122102221 its reverse (122201221020102), we get a palindrome (323221343122323).

The spelling of 201020122102221 in words is "two hundred one trillion, twenty billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 853 2559 7677 31561 94683 284049 707695229 2123085687 6369257061 26184723473 78554170419 235662511257 603664030337 1810992091011 5432976273033 22335569122469 67006707367407 201020122102221