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210202221020 = 225111735522917
BaseRepresentation
bin1100001111000100000…
…1110101100111011100
3202002120100120012201012
43003301001311213130
511420443232033040
6240322055034352
721121002253421
oct3036101654734
9662510505635
10210202221020
1181167745920
12348a436b9b8
1316a8bb9084c
14a261043d48
155703e79865
hex30f10759dc

210202221020 has 48 divisors (see below), whose sum is σ = 484337816928. Its totient is φ = 75995324160.

The previous prime is 210202220981. The next prime is 210202221071. The reversal of 210202221020 is 20122202012.

210202221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2102022210203 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210202220986 and 210202221004.

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, 2723399 + ... + 2799518.

It is an arithmetic number, because the mean of its divisors is an integer number (10090371186).

Almost surely, 2210202221020 is an apocalyptic number.

210202221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210202221020 is an abundant number, since it is smaller than the sum of its proper divisors (274135595908).

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

210202221020 is a wasteful number, since it uses less digits than its factorization.

210202221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523110 (or 5523108 counting only the distinct ones).

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

Adding to 210202221020 its reverse (20122202012), we get a palindrome (230324423032).

The spelling of 210202221020 in words is "two hundred ten billion, two hundred two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 173 220 346 692 865 1730 1903 3460 3806 7612 9515 19030 38060 5522917 11045834 22091668 27614585 55229170 60752087 110458340 121504174 243008348 303760435 607520870 955464641 1215041740 1910929282 3821858564 4777323205 9554646410 10510111051 19109292820 21020222102 42040444204 52550555255 105101110510 210202221020