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22323310102212 = 22372277743318439
BaseRepresentation
bin1010001001101100011001…
…11110000000011011000100
32221001002100212022021012220
411010312030332000123010
510411221114341232322
6115251104224412340
74462543302035100
oct504661476003304
987032325267186
1022323310102212
1171272986489a9
1226064a74770b0
13c5c104a5cba2
1457264d9c0900
1528aa31b8955c
hex144d8cf806c4

22323310102212 has 144 divisors (see below), whose sum is σ = 60822064356480. Its totient is φ = 6353863423488.

The previous prime is 22323310102189. The next prime is 22323310102229. The reversal of 22323310102212 is 21220101332322.

It is a super-3 number, since 3×223233101022123 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1210648089 + ... + 1210666527.

It is an arithmetic number, because the mean of its divisors is an integer number (422375446920).

Almost surely, 222323310102212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22323310102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30411032178240).

22323310102212 is an abundant number, since it is smaller than the sum of its proper divisors (38498754254268).

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

22323310102212 is a wasteful number, since it uses less digits than its factorization.

22323310102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26170 (or 26161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22323310102212 its reverse (21220101332322), we get a palindrome (43543411434534).

The spelling of 22323310102212 in words is "twenty-two trillion, three hundred twenty-three billion, three hundred ten million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 277 294 554 588 831 1108 1662 1939 3324 3878 5817 7433 7756 11634 13573 14866 18439 22299 23268 27146 29732 36878 40719 44598 52031 54292 55317 73756 81438 89196 104062 110634 129073 156093 162876 208124 221268 258146 312186 364217 387219 516292 624372 728434 774438 903511 1092651 1456868 1548876 1807022 2058941 2185302 2710533 3614044 4117882 4370604 5107603 5421066 6176823 8235764 10215206 10842132 12353646 14412587 15322809 20430412 24707292 28825174 30645618 35753221 43237761 57650348 61291236 71506442 86475522 100888109 107259663 137057087 143012884 172951044 201776218 214519326 250272547 274114174 302664327 403552436 411171261 429038652 500545094 548228348 605328654 750817641 822342522 959399609 1001090188 1210657308 1501635282 1644685044 1918799218 2878198827 3003270564 3837598436 5756397654 6715797263 11512795308 13431594526 20147391789 26863189052 37964813099 40294783578 75929626198 80589567156 113894439297 151859252396 227788878594 265753691693 455577757188 531507383386 797261075079 1063014766772 1594522150158 1860275841851 3189044300316 3720551683702 5580827525553 7441103367404 11161655051106 22323310102212