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210112102200200 = 235216737391682477
BaseRepresentation
bin101111110001100010001001…
…001101101111001110001000
31000112221112001122221010022112
4233301202021031233032020
5210014434041130401300
62022512100041441452
762154045522652124
oct5761421115571610
91015845048833275
10210112102200200
1160a48051098612
121b695171aa0288
1390316422c2735
1439c56a11d6584
151945770928e35
hexbf188936f388

210112102200200 has 96 divisors (see below), whose sum is σ = 491567578286400. Its totient is φ = 83519185424640.

The previous prime is 210112102200191. The next prime is 210112102200211. The reversal of 210112102200200 is 2002201211012.

210112102200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 124041362 + ... + 125723838.

It is an arithmetic number, because the mean of its divisors is an integer number (5120495607150).

Almost surely, 2210112102200200 is an apocalyptic number.

210112102200200 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 210112102200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245783789143200).

210112102200200 is an abundant number, since it is smaller than the sum of its proper divisors (281455476086200).

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

210112102200200 is a wasteful number, since it uses less digits than its factorization.

210112102200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686399 (or 1686390 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210112102200200 its reverse (2002201211012), we get a palindrome (212114303411212).

The spelling of 210112102200200 in words is "two hundred ten trillion, one hundred twelve billion, one hundred two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 200 334 668 835 1336 1670 3340 3739 4175 6680 7478 8350 14956 16700 18695 29912 33400 37390 74780 93475 149560 186950 373900 624413 747800 1248826 1682477 2497652 3122065 3364954 4995304 6244130 6729908 8412385 12488260 13459816 15610325 16824770 24976520 31220650 33649540 42061925 62441300 67299080 84123850 124882600 168247700 280973659 336495400 561947318 1123894636 1404868295 2247789272 2809736590 5619473180 6290781503 7024341475 11238946360 12581563006 14048682950 25163126012 28097365900 31453907515 50326252024 56194731800 62907815030 125815630060 157269537575 251631260120 314539075150 629078150300 1050560511001 1258156300600 2101121022002 4202242044004 5252802555005 8404484088008 10505605110010 21011210220020 26264012775025 42022420440040 52528025550050 105056051100100 210112102200200