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210021020220 = 2235111731603821
BaseRepresentation
bin1100001110011000111…
…0100111001000111100
3202002002201121020221110
43003212032213020330
511420110340121340
6240252103202020
721113342134254
oct3034616471074
9662081536843
10210021020220
1181084432aa0
1234853746310
1316a6048923b
14a244d56964
1556e30d5680
hex30e63a723c

210021020220 has 192 divisors, whose sum is σ = 701167767552. Its totient is φ = 46373376000.

The previous prime is 210021020213. The next prime is 210021020257. The reversal of 210021020220 is 22020120012.

210021020220 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 = 210021020196 and 210021020205.

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 63 ways as a sum of consecutive naturals, for example, 45910 + ... + 649730.

It is an arithmetic number, because the mean of its divisors is an integer number (3651915456).

Almost surely, 2210021020220 is an apocalyptic number.

210021020220 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 210021020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350583883776).

210021020220 is an abundant number, since it is smaller than the sum of its proper divisors (491146747332).

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

210021020220 is a wasteful number, since it uses less digits than its factorization.

210021020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603892 (or 603890 counting only the distinct ones).

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

Adding to 210021020220 its reverse (22020120012), we get a palindrome (232041140232).

The spelling of 210021020220 in words is "two hundred ten billion, twenty-one million, twenty thousand, two hundred twenty".