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212022120101022 = 232721148744873603
BaseRepresentation
bin110000001101010100111111…
…001001110011010010011110
31000210201010011002120201110200
4300031110333021303102132
5210242232300221213042
62030533341202044330
762442043534150500
oct6015247711632236
91023633132521420
10212022120101022
1161614092434480
121b9433830496a6
13913c7a566162a
143a4dcd52c7d70
15197a2ade13c4c
hexc0d53f27349e

212022120101022 has 144 divisors (see below), whose sum is σ = 584159551028352. Its totient is φ = 54957597841440.

The previous prime is 212022120101021. The next prime is 212022120101111. The reversal of 212022120101022 is 220101021220212.

It is a happy number.

212022120101022 is a `hidden beast` number, since 212 + 0 + 221 + 201 + 0 + 10 + 22 = 666.

It is a super-3 number, since 3×2120221201010223 (a number of 44 digits) contains 333 as substring.

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 = 212022120100986 and 212022120101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212022120101021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17711928 + ... + 27161675.

It is an arithmetic number, because the mean of its divisors is an integer number (4056663548808).

Almost surely, 2212022120101022 is an apocalyptic number.

212022120101022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212022120101022 is an abundant number, since it is smaller than the sum of its proper divisors (372137430927330).

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

212022120101022 is a wasteful number, since it uses less digits than its factorization.

212022120101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44874123 (or 44874113 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212022120101022 its reverse (220101021220212), we get a palindrome (432123141321234).

The spelling of 212022120101022 in words is "two hundred twelve trillion, twenty-two billion, one hundred twenty million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 487 539 693 882 974 1078 1386 1461 1617 2922 3234 3409 4383 4851 5357 6818 8766 9702 10227 10714 16071 20454 23863 30681 32142 37499 47726 48213 61362 71589 74998 96426 112497 143178 214767 224994 262493 337491 429534 524986 674982 787479 1574958 2362437 4724874 44873603 89747206 134620809 269241618 314115221 403862427 493609633 628230442 807724854 942345663 987219266 1480828899 1884691326 2198806547 2827036989 2961657798 3455267431 4397613094 4442486697 5654073978 6596419641 6910534862 8884973394 10365802293 13192839282 19789258923 20731604586 21853444661 24186872017 31097406879 39578517846 43706889322 48373744034 62194813758 65560333983 72560616051 131120667966 145121232102 152974112627 196681001949 217681848153 240387891271 305948225254 393362003898 435363696306 458922337881 480775782542 721163673813 917844675762 1070818788389 1376767013643 1442327347626 1682715238897 2141637576778 2163491021439 2753534027286 3212456365167 3365430477794 4326982042878 5048145716691 6424912730334 9637369095501 10096291433382 11779006672279 15144437150073 19274738191002 23558013344558 30288874300146 35337020016837 70674040033674 106011060050511 212022120101022