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212202110220021 = 32613257118675097
BaseRepresentation
bin110000001111111100100111…
…011001100111011011110101
31000211100022201220202010112100
4300033330213121213123311
5210303204410204020041
62031152145331012313
762461045053005145
oct6017744731473365
91024308656663470
10212202110220021
1161683456137939
121b97223543a099
13915375b22651c
143a588cba70925
15197ece58196b6
hexc0ff276676f5

212202110220021 has 24 divisors (see below), whose sum is σ = 311634636242904. Its totient is φ = 139106200527360.

The previous prime is 212202110219999. The next prime is 212202110220031. The reversal of 212202110220021 is 120022011202212.

It is a happy number.

212202110220021 is a `hidden beast` number, since 212 + 2 + 0 + 211 + 0 + 220 + 0 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7308966320100 + 204893143899921 = 2703510^2 + 14314089^2 .

It is not a de Polignac number, because 212202110220021 - 234 = 212184930350837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212202110219976 and 212202110220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212202110220031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57549456 + ... + 61125641.

It is an arithmetic number, because the mean of its divisors is an integer number (12984776510121).

Almost surely, 2212202110220021 is an apocalyptic number.

It is an amenable number.

212202110220021 is a deficient number, since it is larger than the sum of its proper divisors (99432526022883).

212202110220021 is a wasteful number, since it uses less digits than its factorization.

212202110220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118678421 (or 118678418 counting only the distinct ones).

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

Adding to 212202110220021 its reverse (120022011202212), we get a palindrome (332224121422233).

The spelling of 212202110220021 in words is "two hundred twelve trillion, two hundred two billion, one hundred ten million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 9 61 183 549 3257 9771 29313 198677 596031 1788093 118675097 356025291 1068075873 7239180917 21717542751 65152628253 386524790929 1159574372787 3478723118361 23578012246669 70734036740007 212202110220021