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210120220220 = 2253141101223367
BaseRepresentation
bin1100001110110000100…
…1000001111000111100
3202002100122021010202112
43003230021001320330
511420311234021340
6240310005313152
721115655255141
oct3035411017074
9662318233675
10210120220220
1181125428469
1234880a057b8
1316a77bac871
14a2541ba3c8
1556ebb7d065
hex30ec241e3c

210120220220 has 192 divisors, whose sum is σ = 474618396672. Its totient is φ = 78001920000.

The previous prime is 210120220199. The next prime is 210120220237. The reversal of 210120220220 is 22022021012.

It is a junction number, because it is equal to n+sod(n) for n = 210120220195 and 210120220204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572534477 + ... + 572534843.

It is an arithmetic number, because the mean of its divisors is an integer number (2471970816).

Almost surely, 2210120220220 is an apocalyptic number.

210120220220 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 210120220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237309198336).

210120220220 is an abundant number, since it is smaller than the sum of its proper divisors (264498176452).

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

210120220220 is a wasteful number, since it uses less digits than its factorization.

210120220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 770 counting only the distinct ones).

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

Adding to 210120220220 its reverse (22022021012), we get a palindrome (232142241232).

The spelling of 210120220220 in words is "two hundred ten billion, one hundred twenty million, two hundred twenty thousand, two hundred twenty".