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220021221020 = 225383263310909
BaseRepresentation
bin1100110011101001001…
…0010110011010011100
3210000220122202002111212
43030322102112122130
512101100413033040
6245024254203552
721616221343526
oct3147222263234
9700818662455
10220021221020
1185346274957
12367847b35b8
1317995216c13
14a91312ca16
155acaed2d65
hex333a49669c

220021221020 has 48 divisors (see below), whose sum is σ = 463469368320. Its totient is φ = 87737319936.

The previous prime is 220021220999. The next prime is 220021221023. The reversal of 220021221020 is 20122120022.

220021221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220021220986 and 220021221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220021221023) 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 15 ways as a sum of consecutive naturals, for example, 20163326 + ... + 20174234.

It is an arithmetic number, because the mean of its divisors is an integer number (9655611840).

Almost surely, 2220021221020 is an apocalyptic number.

220021221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220021221020 is an abundant number, since it is smaller than the sum of its proper divisors (243448147300).

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

220021221020 is a wasteful number, since it uses less digits than its factorization.

220021221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13934 (or 13932 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220021221020 its reverse (20122120022), we get a palindrome (240143341042).

The spelling of 220021221020 in words is "two hundred twenty billion, twenty-one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 383 766 1532 1915 2633 3830 5266 7660 10532 10909 13165 21818 26330 43636 52660 54545 109090 218180 1008439 2016878 4033756 4178147 5042195 8356294 10084390 16712588 20168780 20890735 28723397 41781470 57446794 83562940 114893588 143616985 287233970 574467940 11001061051 22002122102 44004244204 55005305255 110010610510 220021221020