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212101320000020 = 225112341917256917
BaseRepresentation
bin110000001110011110101111…
…110101011100001000010100
31000210222200120200011110020012
4300032132233311130020110
5210300032000410000040
62031034000134455352
762450546302165223
oct6016365765341024
91023880520143205
10212101320000020
1161644734740860
121b9567a6b04558
1391470b7aa95a9
143a53a89aaccba
15197c39703a865
hexc0e7afd5c214

212101320000020 has 48 divisors (see below), whose sum is σ = 507031139680128. Its totient is φ = 73774372172160.

The previous prime is 212101319999993. The next prime is 212101320000029. The reversal of 212101320000020 is 20000023101212.

It is a happy number.

212101320000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101320000029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20958623399 + ... + 20958633518.

It is an arithmetic number, because the mean of its divisors is an integer number (10563148743336).

Almost surely, 2212101320000020 is an apocalyptic number.

212101320000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101320000020 is an abundant number, since it is smaller than the sum of its proper divisors (294929819680108).

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

212101320000020 is a wasteful number, since it uses less digits than its factorization.

212101320000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41917256960 (or 41917256958 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212101320000020 its reverse (20000023101212), we get a palindrome (232101343101232).

The spelling of 212101320000020 in words is "two hundred twelve trillion, one hundred one billion, three hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 41917256917 83834513834 167669027668 209586284585 419172569170 461089826087 838345138340 922179652174 964096909091 1844359304348 1928193818182 2305449130435 3856387636364 4610898260870 4820484545455 9221796521740 9640969090910 10605066000001 19281938181820 21210132000002 42420264000004 53025330000005 106050660000010 212101320000020