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212321232020 = 225124914935693
BaseRepresentation
bin1100010110111101010…
…1001110010010010100
3202022001000212010100002
43011233111032102110
511434313213411040
6241312232510432
721224342460152
oct3055725162224
9668030763302
10212321232020
1182054889187
1235195b4b418
1317038ba6901
14a3c263c3d2
1557c9ee9a15
hex316f54e494

212321232020 has 48 divisors (see below), whose sum is σ = 446608890000. Its totient is φ = 84788760576.

The previous prime is 212321232007. The next prime is 212321232037. The reversal of 212321232020 is 20232123212.

It is a happy number.

212321232020 is digitally balanced in base 2, 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 3029621764 + 209291610256 = 55042^2 + 457484^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212321231983 and 212321232001.

It is a congruent number.

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, 37292294 + ... + 37297986.

It is an arithmetic number, because the mean of its divisors is an integer number (9304351875).

Almost surely, 2212321232020 is an apocalyptic number.

212321232020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212321232020 is an abundant number, since it is smaller than the sum of its proper divisors (234287657980).

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

212321232020 is a wasteful number, since it uses less digits than its factorization.

212321232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444 (or 8442 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

212321232020 divided by its sum of digits (20) gives a palindrome (10616061601).

Adding to 212321232020 its reverse (20232123212), we get a palindrome (232553355232).

The spelling of 212321232020 in words is "two hundred twelve billion, three hundred twenty-one million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 1249 1493 2498 2986 4996 5693 5972 6245 7465 11386 12490 14930 22772 24980 28465 29860 56930 113860 1864757 3729514 7110557 7459028 8499649 9323785 14221114 16999298 18647570 28442228 33998596 35552785 37295140 42498245 71105570 84996490 142211140 169992980 10616061601 21232123202 42464246404 53080308005 106160616010 212321232020