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212011020210220 = 225711217237263731
BaseRepresentation
bin110000001101001010101001…
…100011000101000000101100
31000210200001111112011211210221
4300031022221203011000230
5210242042032133211340
62030524303524541124
762441201502506020
oct6015125143050054
91023601445154727
10212011020210220
116160a40687a200
121b9411a58517a4
13913b726b310ca
143a4d561054380
151979d5e6e244a
hexc0d2a98c502c

212011020210220 has 144 divisors (see below), whose sum is σ = 559613254281984. Its totient is φ = 66042995356800.

The previous prime is 212011020210211. The next prime is 212011020210281. The reversal of 212011020210220 is 22012020110212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212011020210194 and 212011020210203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25555755 + ... + 32819485.

It is an arithmetic number, because the mean of its divisors is an integer number (3886203154736).

Almost surely, 2212011020210220 is an apocalyptic number.

212011020210220 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 212011020210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279806627140992).

212011020210220 is an abundant number, since it is smaller than the sum of its proper divisors (347602234071764).

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

212011020210220 is a wasteful number, since it uses less digits than its factorization.

212011020210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7265492 (or 7265479 counting only the distinct ones).

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

Adding to 212011020210220 its reverse (22012020110212), we get a palindrome (234023040320432).

The spelling of 212011020210220 in words is "two hundred twelve trillion, eleven billion, twenty million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 1723 2420 3388 3446 4235 6892 8470 8615 12061 16940 17230 18953 24122 34460 37906 48244 60305 75812 94765 120610 132671 189530 208483 241220 265342 379060 416966 530684 663355 833932 1042415 1326710 1459381 2084830 2653420 2918762 4169660 5837524 7263731 7296905 14527462 14593810 29054924 29187620 36318655 50846117 72637310 79901041 101692234 145274620 159802082 203384468 254230585 319604164 399505205 508461170 559307287 799010410 878911451 1016922340 1118614574 1598020820 1757822902 2237229148 2796536435 3515645804 4394557255 5593072870 6152380157 8789114510 11186145740 12304760314 12515408513 17578229020 24609520628 25030817026 30761900785 50061634052 61523801570 62577042565 87607859591 123047603140 125154085130 137669493643 175215719182 250308170260 275338987286 350431438364 438039297955 550677974572 688347468215 876078595910 963686455501 1376694936430 1514364430073 1752157191820 1927372911002 2753389872860 3028728860146 3854745822004 4818432277505 6057457720292 7571822150365 9636864555010 10600551010511 15143644300730 19273729110020 21201102021022 30287288601460 42402204042044 53002755052555 106005510105110 212011020210220