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212112000102020 = 225102998910296809
BaseRepresentation
bin110000001110101000101100…
…011010110010111010000100
31000211000201010222122211220112
4300032220230122302322010
5210300220334011231040
62031042524014252152
762451405045435644
oct6016505432627204
91024021128584815
10212112000102020
1161649215344537
121b9588877b7058
1391480ca65a285
143a543c02aa524
15197c7be98a365
hexc0ea2c6b2e84

212112000102020 has 24 divisors (see below), whose sum is σ = 445435675939800. Its totient is φ = 84844709426432.

The previous prime is 212112000102017. The next prime is 212112000102029. The reversal of 212112000102020 is 20201000211212.

It can be written as a sum of positive squares in 4 ways, for example, as 71414398095616 + 140697602006404 = 8450704^2 + 11861602^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212112000101986 and 212112000102004.

It is not an unprimeable number, because it can be changed into a prime (212112000102029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15451376 + ... + 25748184.

It is an arithmetic number, because the mean of its divisors is an integer number (18559819830825).

Almost surely, 2212112000102020 is an apocalyptic number.

212112000102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112000102020 is an abundant number, since it is smaller than the sum of its proper divisors (233323675837780).

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

212112000102020 is a wasteful number, since it uses less digits than its factorization.

212112000102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11326807 (or 11326805 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212112000102020 its reverse (20201000211212), we get a palindrome (232313000313232).

The spelling of 212112000102020 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 1029989 2059978 4119956 5149945 10296809 10299890 20593618 20599780 41187236 51484045 102968090 205936180 10605600005101 21211200010202 42422400020404 53028000025505 106056000051010 212112000102020