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212010020220 = 223517674996217
BaseRepresentation
bin1100010101110011001…
…0000010110101111100
3202021020100020221000010
43011130302002311330
511433144031121340
6241221314303220
721213543303135
oct3053462026574
9667210227003
10212010020220
1181a05147149
1235109887b10
1316cb958180b
14a39318ac8c
1557aca23b80
hex315cc82d7c

212010020220 has 192 divisors, whose sum is σ = 639309888000. Its totient is φ = 52302716928.

The previous prime is 212010020137. The next prime is 212010020221. The reversal of 212010020220 is 22020010212.

212010020220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212010020196 and 212010020205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212010020221) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 34098552 + ... + 34104768.

It is an arithmetic number, because the mean of its divisors is an integer number (3329739000).

Almost surely, 2212010020220 is an apocalyptic number.

212010020220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212010020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319654944000).

212010020220 is an abundant number, since it is smaller than the sum of its proper divisors (427299867780).

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

212010020220 is a wasteful number, since it uses less digits than its factorization.

212010020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212010020220 its reverse (22020010212), we get a palindrome (234030030432).

The spelling of 212010020220 in words is "two hundred twelve billion, ten million, twenty thousand, two hundred twenty".