Search a number
-
+
212010022220022 = 233134631270351349
BaseRepresentation
bin110000001101001001101110…
…000100000011000011110110
31000210122221220222021200122000
4300031021232010003003312
5210242033011142020042
62030524020514320130
762441134663645425
oct6015115604030366
91023587828250560
10212010022220022
1161609a444a9414
121b940b67589046
13913b5c8148970
143a4d4a86ab2bc
151979d01cab74c
hexc0d26e1030f6

212010022220022 has 128 divisors (see below), whose sum is σ = 508520183808000. Its totient is φ = 65086567362432.

The previous prime is 212010022220011. The next prime is 212010022220053. The reversal of 212010022220022 is 220022220010212.

212010022220022 is a `hidden beast` number, since 2 + 120 + 100 + 222 + 200 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212010022219977 and 212010022220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4128779604 + ... + 4128830952.

It is an arithmetic number, because the mean of its divisors is an integer number (3972813936000).

Almost surely, 2212010022220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212010022220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254260091904000).

212010022220022 is an abundant number, since it is smaller than the sum of its proper divisors (296510161587978).

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

212010022220022 is a wasteful number, since it uses less digits than its factorization.

212010022220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64539 (or 64533 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212010022220022 its reverse (220022220010212), we get a palindrome (432032242230234).

The spelling of 212010022220022 in words is "two hundred twelve trillion, ten billion, twenty-two million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 463 702 926 1389 2778 4167 6019 8334 12038 12501 12703 18057 25002 25406 36114 38109 51349 54171 76218 102698 108342 114327 154047 162513 165139 228654 308094 325026 330278 342981 462141 495417 667537 685962 924282 990834 1335074 1386423 1486251 2002611 2772846 2972502 4005222 4458753 5881489 6007833 8917506 11762978 12015666 17644467 18023499 23774587 35288934 36046998 47549174 52933401 71323761 76459357 105866802 142647522 152918714 158800203 213971283 229378071 309069631 317600406 427942566 458756142 618139262 641913849 652286347 688134213 927208893 1283827698 1304572694 1376268426 1854417786 1956859041 2064402639 2781626679 3913718082 4128805278 5563253358 5870577123 8344880037 8479722511 11741154246 16689760074 16959445022 17611731369 25439167533 35223462738 50878335066 76317502599 152635005198 228952507797 302008578661 457905015594 604017157322 906025735983 1812051471966 2718077207949 3926111522593 5436154415898 7852223045186 8154231623847 11778334567779 16308463247694 23556669135558 35335003703337 70670007406674 106005011110011 212010022220022