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212122022020 = 22567331694973
BaseRepresentation
bin1100010110001101110…
…1010011000010000100
3202021112011000012120221
43011203131103002010
511433411214201040
6241240355034124
721216403303036
oct3054335230204
9667464005527
10212122022020
1181a62395817
123513b29b944
131700683807c
14a3a3dc3c56
1557b779974a
hex3163753084

212122022020 has 48 divisors (see below), whose sum is σ = 446348654640. Its totient is φ = 84678967296.

The previous prime is 212122021967. The next prime is 212122022027. The reversal of 212122022020 is 20220221212.

212122022020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1875929344 + 210246092676 = 43312^2 + 458526^2 .

It is a super-3 number, since 3×2121220220203 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212122021985 and 212122022003.

It is not an unprimeable number, because it can be changed into a prime (212122022027) 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, 42652254 + ... + 42657226.

It is an arithmetic number, because the mean of its divisors is an integer number (9298930305).

Almost surely, 2212122022020 is an apocalyptic number.

212122022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122022020 is an abundant number, since it is smaller than the sum of its proper divisors (234226632620).

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

212122022020 is a wasteful number, since it uses less digits than its factorization.

212122022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8824 (or 8822 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212122022020 its reverse (20220221212), we get a palindrome (232342243232).

The spelling of 212122022020 in words is "two hundred twelve billion, one hundred twenty-two million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 673 1346 2692 3169 3365 4973 6338 6730 9946 12676 13460 15845 19892 24865 31690 49730 63380 99460 2132737 3346829 4265474 6693658 8530948 10663685 13387316 15759437 16734145 21327370 31518874 33468290 42654740 63037748 66936580 78797185 157594370 315188740 10606101101 21212202202 42424404404 53030505505 106061011010 212122022020