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220112022011121 = 3323261252635567
BaseRepresentation
bin110010000011000011010010…
…111000011111110011110001
31001212100111121021021100102000
4302003003102320133303301
5212322303410113323441
62100050022244044213
764235366045615142
oct6203032270376361
91055314537240360
10220112022011121
1164152a91131369
122082b226993669
1395a86229527a6
143c4d69b80dac9
151a6a9437cc2b6
hexc830d2e1fcf1

220112022011121 has 48 divisors (see below), whose sum is σ = 346474523377920. Its totient is φ = 138060284107680.

The previous prime is 220112022011113. The next prime is 220112022011209. The reversal of 220112022011121 is 121110220211022.

220112022011121 is a `hidden beast` number, since 2 + 201 + 120 + 220 + 1 + 1 + 121 = 666.

220112022011121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220112022011121 - 23 = 220112022011113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220112022011094 and 220112022011103.

It is not an unprimeable number, because it can be changed into a prime (220112022011621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125446521 + ... + 127189046.

It is an arithmetic number, because the mean of its divisors is an integer number (7218219237040).

Almost surely, 2220112022011121 is an apocalyptic number.

It is an amenable number.

220112022011121 is a deficient number, since it is larger than the sum of its proper divisors (126362501366799).

220112022011121 is a wasteful number, since it uses less digits than its factorization.

220112022011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252635683 (or 252635654 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220112022011121 its reverse (121110220211022), we get a palindrome (341222242222143).

The spelling of 220112022011121 in words is "two hundred twenty trillion, one hundred twelve billion, twenty-two million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 23 27 61 69 183 207 529 549 621 1403 1587 1647 4209 4761 12627 14283 32269 37881 96807 290421 871263 252635567 757906701 2273720103 5810618041 6821160309 15410769587 17431854123 46232308761 52295562369 133644214943 138696926283 156886687107 354447700501 400932644829 416090778849 1063343101503 1202797934487 3190029304509 3608393803461 8152297111523 9570087913527 24456891334569 73370674003707 220112022011121