Search a number
-
+
212010122102020 = 2251117232464660801
BaseRepresentation
bin110000001101001001110100…
…000001000100010100000100
31000210122222011221020012222021
4300031021310001010110010
5210242033212224231040
62030524034443212524
762441140315636534
oct6015116401042404
91023588157205867
10212010122102020
1161609a9591a220
121b940b94b17144
13913b612a4a838
143a4d4b7a6b4c4
151979d0a93b24a
hexc0d274044504

212010122102020 has 96 divisors (see below), whose sum is σ = 536625667097856. Its totient is φ = 69404848128000.

The previous prime is 212010122101963. The next prime is 212010122102039. The reversal of 212010122102020 is 20201221010212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212010122101985 and 212010122102003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1232244381 + ... + 1232416420.

It is an arithmetic number, because the mean of its divisors is an integer number (5589850698936).

Almost surely, 2212010122102020 is an apocalyptic number.

212010122102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010122102020 is an abundant number, since it is smaller than the sum of its proper divisors (324615544995836).

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

212010122102020 is a wasteful number, since it uses less digits than its factorization.

212010122102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464660861 (or 2464660859 counting only the distinct ones).

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

Adding to 212010122102020 its reverse (20201221010212), we get a palindrome (232211343112232).

The spelling of 212010122102020 in words is "two hundred twelve trillion, ten billion, one hundred twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 23 34 44 46 55 68 85 92 110 115 170 187 220 230 253 340 374 391 460 506 748 782 935 1012 1265 1564 1870 1955 2530 3740 3910 4301 5060 7820 8602 17204 21505 43010 86020 2464660801 4929321602 9858643204 12323304005 24646608010 27111268811 41899233617 49293216020 54222537622 56687198423 83798467234 108445075244 113374396846 135556344055 167596934468 209496168085 226748793692 271112688110 283435992115 418992336170 460891569787 542225376220 566871984230 623559182653 837984672340 921783139574 963682373191 1133743968460 1247118365306 1843566279148 1927364746382 2304457848935 2494236730612 3117795913265 3854729492764 4608915697870 4818411865955 6235591826530 9217831395740 9636823731910 10600506105101 12471183653060 19273647463820 21201012210202 42402024420404 53002530525505 106005061051010 212010122102020