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212101010020 = 22511818979721
BaseRepresentation
bin1100010110001000110…
…1001001001001100100
3202021110200110200112201
43011202031021021210
511433340324310040
6241234324424244
721216026560414
oct3054215111144
9667420420481
10212101010020
1181a51544129
1235134248084
131700238c133
14a3a12b4644
1557b59e8a9a
hex3162349264

212101010020 has 24 divisors (see below), whose sum is σ = 445789318968. Its totient is φ = 84768556800.

The previous prime is 212101009993. The next prime is 212101010089. The reversal of 212101010020 is 20010101212.

It can be written as a sum of positive squares in 4 ways, for example, as 11273342976 + 200827667044 = 106176^2 + 448138^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 212101009979 and 212101010006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4466241 + ... + 4513480.

It is an arithmetic number, because the mean of its divisors is an integer number (18574554957).

Almost surely, 2212101010020 is an apocalyptic number.

212101010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101010020 is an abundant number, since it is smaller than the sum of its proper divisors (233688308948).

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

212101010020 is a wasteful number, since it uses less digits than its factorization.

212101010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980911 (or 8980909 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212101010020 its reverse (20010101212), we get a palindrome (232111111232).

The spelling of 212101010020 in words is "two hundred twelve billion, one hundred one million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 1181 2362 4724 5905 11810 23620 8979721 17959442 35918884 44898605 89797210 179594420 10605050501 21210101002 42420202004 53025252505 106050505010 212101010020