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212200102211020 = 2257111250531101871
BaseRepresentation
bin110000001111111010101111…
…101101101010110111001100
31000211100010112222022201000121
4300033322233231222313030
5210303141302131223040
62031151214200234324
762460644231135410
oct6017725755526714
91024303488281017
10212200102211020
116168261571aa70
121b971974a6b9a4
1391534cb206911
143a5877b0ccd40
15197ec293c3c4a
hexc0feafb6adcc

212200102211020 has 96 divisors (see below), whose sum is σ = 555583396386816. Its totient is φ = 66139702675200.

The previous prime is 212200102211003. The next prime is 212200102211077. The reversal of 212200102211020 is 20112201002212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212200102210985 and 212200102211003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192030685 + ... + 193132555.

It is an arithmetic number, because the mean of its divisors is an integer number (5787327045696).

Almost surely, 2212200102211020 is an apocalyptic number.

212200102211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200102211020 is an abundant number, since it is smaller than the sum of its proper divisors (343383294175796).

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

212200102211020 is a wasteful number, since it uses less digits than its factorization.

212200102211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226951 (or 1226949 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212200102211020 its reverse (20112201002212), we get a palindrome (232312303213232).

The spelling of 212200102211020 in words is "two hundred twelve trillion, two hundred billion, one hundred two million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 125053 250106 500212 625265 875371 1101871 1250530 1375583 1750742 2203742 2501060 2751166 3501484 4376855 4407484 5502332 5509355 6877915 7713097 8753710 9629081 11018710 12120581 13755830 15426194 17507420 19258162 22037420 24241162 27511660 30852388 38516324 38565485 48145405 48482324 60602905 77130970 84844067 96290810 121205810 154261940 169688134 192581620 242411620 339376268 424220335 848440670 1696881340 137792274163 275584548326 551169096652 688961370815 964545919141 1377922741630 1515715015793 1929091838282 2755845483260 3031430031586 3858183676564 4822729595705 6062860063172 7578575078965 9645459191410 10610005110551 15157150157930 19290918382820 21220010221102 30314300315860 42440020442204 53050025552755 106100051105510 212200102211020