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212022010220020 = 2257111310590510001
BaseRepresentation
bin110000001101010100111000…
…100110101000110111110100
31000210201002212102211012001221
4300031110320212220313310
5210242232034104020040
62030533322235000124
762442041031162640
oct6015247046506764
91023632772735057
10212022010220020
1161614036404230
121b943352299044
13913c78896b4a0
143a4dcc4883c20
15197a2a445b74a
hexc0d5389a8df4

212022010220020 has 96 divisors (see below), whose sum is σ = 597813108592896. Its totient is φ = 61001337600000.

The previous prime is 212022010219993. The next prime is 212022010220123. The reversal of 212022010220020 is 20022010220212.

It is a junction number, because it is equal to n+sod(n) for n = 212022010219976 and 212022010220003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5295234981 + ... + 5295275020.

It is an arithmetic number, because the mean of its divisors is an integer number (6227219881176).

Almost surely, 2212022010220020 is an apocalyptic number.

212022010220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212022010220020 is an abundant number, since it is smaller than the sum of its proper divisors (385791098372876).

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

212022010220020 is a wasteful number, since it uses less digits than its factorization.

212022010220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10590510041 (or 10590510039 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212022010220020 its reverse (20022010220212), we get a palindrome (232044020440232).

The spelling of 212022010220020 in words is "two hundred twelve trillion, twenty-two billion, ten million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 10590510001 21181020002 42362040004 52952550005 74133570007 105905100010 116495610011 137676630013 148267140014 211810200020 232991220022 275353260026 296534280028 370667850035 465982440044 550706520052 582478050055 688383150065 741335700070 815469270077 963736410091 1164956100110 1376766300130 1482671400140 1514442930143 1630938540154 1927472820182 2329912200220 2753532600260 3028885860286 3261877080308 3854945640364 4077346350385 4818682050455 6057771720572 7572214650715 8154692700770 9637364100910 10601100511001 15144429301430 16309385401540 19274728201820 21202201022002 30288858602860 42404402044004 53005502555005 106011005110010 212022010220020