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221001201220221 = 33172213217570763
BaseRepresentation
bin110010001111111111011010…
…000101111111101001111101
31001222111111201200211022002000
4302033333122011333221331
5212431340430003021341
62102010314504252513
764356544534315302
oct6217773205775175
91058444650738060
10221001201220221
11644660a0665864
122095361b171139
13964142966c136
143c8072da550a9
151a83b35d688b6
hexc8ffda17fa7d

221001201220221 has 32 divisors (see below), whose sum is σ = 346825203477120. Its totient is φ = 138604759356672.

The previous prime is 221001201220201. The next prime is 221001201220237. The reversal of 221001201220221 is 122022102100122.

It is a happy number.

221001201220221 is a `hidden beast` number, since 2 + 2 + 100 + 120 + 1 + 220 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2k-221001201220221 is a prime.

It is a super-2 number, since 2×2210012012202212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221001201220194 and 221001201220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001201220201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107769615 + ... + 109801148.

It is an arithmetic number, because the mean of its divisors is an integer number (10838287608660).

Almost surely, 2221001201220221 is an apocalyptic number.

It is an amenable number.

221001201220221 is a deficient number, since it is larger than the sum of its proper divisors (125824002256899).

221001201220221 is a wasteful number, since it uses less digits than its factorization.

221001201220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217573002 (or 217572996 counting only the distinct ones).

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

Adding to 221001201220221 its reverse (122022102100122), we get a palindrome (343023303320343).

The spelling of 221001201220221 in words is "two hundred twenty-one trillion, one billion, two hundred one million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 17 27 51 153 459 2213 6639 19917 37621 59751 112863 338589 1015767 217570763 652712289 1958136867 3698702971 5874410601 11096108913 33288326739 99864980217 481484098519 1444452295557 4333356886671 8185229674823 13000070660013 24555689024469 73667067073407 221001201220221