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210120122120220 = 223251389794923983
BaseRepresentation
bin101111110001101001100111…
…001111010011100000011100
31000112222021202120211021100100
4233301221213033103200130
5210020102002230321340
62022515503532301100
762154451335106134
oct5761514717234034
91015867676737310
10210120122120220
1160a50497131194
121b69682b911790
13903231c9bb740
1439c5c223a7ac4
151945a8ea5b830
hexbf1a673d381c

210120122120220 has 72 divisors (see below), whose sum is σ = 686392398933696. Its totient is φ = 51721876213632.

The previous prime is 210120122120203. The next prime is 210120122120263. The reversal of 210120122120220 is 22021221021012.

It is a happy number.

210120122120220 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 201 + 221 + 20 + 220 = 666.

It is a super-2 number, since 2×2101201221202202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210120122120193 and 210120122120202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44897459652 + ... + 44897464331.

It is an arithmetic number, because the mean of its divisors is an integer number (9533227762968).

Almost surely, 2210120122120220 is an apocalyptic number.

210120122120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210120122120220 is an abundant number, since it is smaller than the sum of its proper divisors (476272276813476).

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

210120122120220 is a wasteful number, since it uses less digits than its factorization.

210120122120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89794924011 (or 89794924006 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210120122120220 its reverse (22021221021012), we get a palindrome (232141343141232).

The spelling of 210120122120220 in words is "two hundred ten trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 89794923983 179589847966 269384771949 359179695932 448974619915 538769543898 808154315847 897949239830 1077539087796 1167334011779 1346923859745 1616308631694 1795898479660 2334668023558 2693847719490 3232617263388 3502002035337 4040771579235 4669336047116 5387695438980 5836670058895 7004004070674 8081543158470 10506006106011 11673340117790 14008008141348 16163086316940 17510010176685 21012012212022 23346680235580 35020020353370 42024024424044 52530030530055 70040040706740 105060061060110 210120122120220