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212221103020 = 225711311140851
BaseRepresentation
bin1100010110100101011…
…1010000101110101100
3202021210001110001011121
43011221113100232230
511434112100244040
6241254254430324
721222015416653
oct3055127205654
9667701401147
10212221103020
1182003309843
12351685023a4
1317021219494
14a3b321619a
1557c131bc4a
hex31695d0bac

212221103020 has 48 divisors (see below), whose sum is σ = 455391611136. Its totient is φ = 83053880000.

The previous prime is 212221103009. The next prime is 212221103051. The reversal of 212221103020 is 20301122212.

It is a happy number.

212221103020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212221102985 and 212221103003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384406 + ... + 756445.

It is an arithmetic number, because the mean of its divisors is an integer number (9487325232).

Almost surely, 2212221103020 is an apocalyptic number.

212221103020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221103020 is an abundant number, since it is smaller than the sum of its proper divisors (243170508116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212221103020 is a wasteful number, since it uses less digits than its factorization.

212221103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141062 (or 1141060 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212221103020 its reverse (20301122212), we get a palindrome (232522225232).

The spelling of 212221103020 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred three thousand, twenty".

Divisors: 1 2 4 5 10 20 71 131 142 262 284 355 524 655 710 1310 1420 2620 9301 18602 37204 46505 93010 186020 1140851 2281702 4563404 5704255 11408510 22817020 81000421 149451481 162000842 298902962 324001684 405002105 597805924 747257405 810004210 1494514810 1620008420 2989029620 10611055151 21222110302 42444220604 53055275755 106110551510 212221103020