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212221102221220 = 22541454335696437
BaseRepresentation
bin110000010000001110010011…
…011010010110011110100100
31000211102010202111112202101011
4300100032103122112132210
5210304012304132034340
62031205010051312004
762462316515235061
oct6020162332263644
91024363674482334
10212221102221220
116169051167a4a4
121b975a558ab604
139155496b23261
143a597b0125c68
151980557d240ea
hexc103936967a4

212221102221220 has 48 divisors (see below), whose sum is σ = 456544304658288. Its totient is φ = 82816153712640.

The previous prime is 212221102221187. The next prime is 212221102221221. The reversal of 212221102221220 is 22122201122212.

It can be written as a sum of positive squares in 8 ways, for example, as 9211722746724 + 203009379474496 = 3035082^2 + 14248136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212221102221191 and 212221102221200.

It is not an unprimeable number, because it can be changed into a prime (212221102221221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34406842 + ... + 40103278.

It is an arithmetic number, because the mean of its divisors is an integer number (9511339680381).

Almost surely, 2212221102221220 is an apocalyptic number.

212221102221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221102221220 is an abundant number, since it is smaller than the sum of its proper divisors (244323202437068).

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

212221102221220 is a wasteful number, since it uses less digits than its factorization.

212221102221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741920 (or 5741918 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 212221102221220 its reverse (22122201122212), we get a palindrome (234343303343432).

The spelling of 212221102221220 in words is "two hundred twelve trillion, two hundred twenty-one billion, one hundred two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 45433 90866 181732 227165 454330 908660 1862753 3725506 5696437 7451012 9313765 11392874 18627530 22785748 28482185 37255060 56964370 113928740 233553917 467107834 934215668 1167769585 2335539170 4671078340 258806222221 517612444442 1035224888884 1294031111105 2588062222210 5176124444420 10611055111061 21222110222122 42444220444244 53055275555305 106110551110610 212221102221220