Search a number
-
+
212120022222020 = 2251145710691973627
BaseRepresentation
bin110000001110110000001010…
…100100110000010011000100
31000211001110212001200202202002
4300032300022210300103010
5210300333301142101040
62031050332024204432
762452110615354623
oct6016601244602304
91024043761622662
10212120022222020
116165166164aa80
121b95a346309718
139148aa8646743
143a549418916ba
15197caddda4a15
hexc0ec0a9304c4

212120022222020 has 96 divisors (see below), whose sum is σ = 487466853390720. Its totient is φ = 76893732080640.

The previous prime is 212120022221963. The next prime is 212120022222041. The reversal of 212120022222020 is 20222220021212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212120022221983 and 212120022222001.

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 31 ways as a sum of consecutive naturals, for example, 106490447 + ... + 108464073.

It is an arithmetic number, because the mean of its divisors is an integer number (5077779722820).

Almost surely, 2212120022222020 is an apocalyptic number.

212120022222020 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 212120022222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243733426695360).

212120022222020 is an abundant number, since it is smaller than the sum of its proper divisors (275346831168700).

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

212120022222020 is a wasteful number, since it uses less digits than its factorization.

212120022222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975173 (or 1975171 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 212120022222020 its reverse (20222220021212), we get a palindrome (232342242243232).

The spelling of 212120022222020 in words is "two hundred twelve trillion, one hundred twenty billion, twenty-two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 457 914 1069 1828 2138 2285 4276 4570 5027 5345 9140 10054 10690 11759 20108 21380 23518 25135 47036 50270 58795 100540 117590 235180 488533 977066 1954132 1973627 2442665 3947254 4885330 5373863 7894508 9770660 9868135 10747726 19736270 21495452 21709897 26869315 39472540 43419794 53738630 86839588 107477260 108549485 217098970 434197940 901947539 1803895078 2109807263 3607790156 4219614526 4509737695 8439229052 9019475390 9921422929 10549036315 18038950780 19842845858 21098072630 23207879893 39685691716 42196145260 46415759786 49607114645 92831519572 99214229290 116039399465 198428458580 232078798930 464157597860 964181919191 1928363838382 3856727676764 4820909595955 9641819191910 10606001111101 19283638383820 21212002222202 42424004444404 53030005555505 106060011111010 212120022222020