Search a number
-
+
212022001102120 = 235112916616144287
BaseRepresentation
bin110000001101010100111000…
…000011110110110100101000
31000210201002211210122221122221
4300031110320003312310220
5210242232024240231440
62030533321311323424
762442040560526066
oct6015247003666450
91023632753587587
10212022001102120
1161614031246880
121b94334b220574
13913c786ac8291
143a4dcc358d036
15197a2a3759d4a
hexc0d5380f6d28

212022001102120 has 64 divisors (see below), whose sum is σ = 538363074931200. Its totient is φ = 74440326401280.

The previous prime is 212022001102103. The next prime is 212022001102123. The reversal of 212022001102120 is 21201100220212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212022001102094 and 212022001102103.

It is not an unprimeable number, because it can be changed into a prime (212022001102123) 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, 8308059384 + ... + 8308084903.

It is an arithmetic number, because the mean of its divisors is an integer number (8411923045800).

Almost surely, 2212022001102120 is an apocalyptic number.

212022001102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212022001102120 is an abundant number, since it is smaller than the sum of its proper divisors (326341073829080).

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

212022001102120 is a wasteful number, since it uses less digits than its factorization.

212022001102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16616144338 (or 16616144334 counting only the distinct ones).

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

Adding to 212022001102120 its reverse (21201100220212), we get a palindrome (233223101322332).

The spelling of 212022001102120 in words is "two hundred twelve trillion, twenty-two billion, one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 12760 16616144287 33232288574 66464577148 83080721435 132929154296 166161442870 182777587157 332322885740 365555174314 481868184323 664645771480 731110348628 913887935785 963736368646 1462220697256 1827775871570 1927472737292 2409340921615 3655551743140 3854945474584 4818681843230 5300550027553 7311103486280 9637363686460 10601100055106 19274727372920 21202200110212 26502750137765 42404400220424 53005500275530 106011000551060 212022001102120