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220212100002120 = 23354144758556911
BaseRepresentation
bin110010000100100000011111…
…111111101111000101001000
31001212201001220212200001012020
4302010200133333233011020
5212330423340100031440
62100204013034444440
764245541060531512
oct6204403777570510
91055631825601166
10220212100002120
1164191477596236
12208466b6893720
1395b4bb166b045
143c54472d72bb2
151a6d34e7c03d0
hexc8481ffef148

220212100002120 has 64 divisors (see below), whose sum is σ = 676749380509440. Its totient is φ = 57290952844800.

The previous prime is 220212100002067. The next prime is 220212100002143. The reversal of 220212100002120 is 21200001212022.

220212100002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220212100002120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22379273536 + ... + 22379283375.

It is an arithmetic number, because the mean of its divisors is an integer number (10574209070460).

Almost surely, 2220212100002120 is an apocalyptic number.

220212100002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212100002120 is an abundant number, since it is smaller than the sum of its proper divisors (456537280507320).

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

220212100002120 is a wasteful number, since it uses less digits than its factorization.

220212100002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44758556966 (or 44758556962 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220212100002120 its reverse (21200001212022), we get a palindrome (241412101214142).

The spelling of 220212100002120 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 44758556911 89517113822 134275670733 179034227644 223792784555 268551341466 358068455288 447585569110 537102682932 671378353665 895171138220 1074205365864 1342756707330 1790342276440 1835100833351 2685513414660 3670201666702 5371026829320 5505302500053 7340403333404 9175504166755 11010605000106 14680806666808 18351008333510 22021210000212 27526512500265 36702016667020 44042420000424 55053025000530 73404033334040 110106050001060 220212100002120