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22100021011110 = 23574122371147423
BaseRepresentation
bin1010000011001100011111…
…11001101110001010100110
32220020202000110111011200210
411001212033321232022212
510344041320334323420
6115000335352320250
74440450060055230
oct501461771561246
986222013434623
1022100021011110
117050625794979
12258b1703a3086
13c4403b803243
1456590a87b250
15284d13d4d9e0
hex14198fe6e2a6

22100021011110 has 128 divisors (see below), whose sum is σ = 62123481391104. Its totient is φ = 4926020336640.

The previous prime is 22100021011109. The next prime is 22100021011147. The reversal of 22100021011110 is 1111012000122.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18686859 + ... + 19834281.

It is an arithmetic number, because the mean of its divisors is an integer number (485339698368).

Almost surely, 222100021011110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100021011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31061740695552).

22100021011110 is an abundant number, since it is smaller than the sum of its proper divisors (40023460379994).

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

22100021011110 is a wasteful number, since it uses less digits than its factorization.

22100021011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149718.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22100021011110 its reverse (1111012000122), we get a palindrome (23211033011232).

The spelling of 22100021011110 in words is "twenty-two trillion, one hundred billion, twenty-one million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1722 2237 2870 4305 4474 6711 8610 11185 13422 15659 22370 31318 33555 46977 67110 78295 91717 93954 156590 183434 234885 275151 458585 469770 550302 642019 917170 1147423 1284038 1375755 1926057 2294846 2751510 3210095 3442269 3852114 5737115 6420190 6884538 8031961 9630285 11474230 16063922 17211345 19260570 24095883 34422690 40159805 47044343 48191766 80319610 94088686 120479415 141133029 235221715 240958830 282266058 329310401 470443430 658620802 705665145 987931203 1411330290 1646552005 1975862406 2566785251 3293104010 4939656015 5133570502 7700355753 9879312030 12833926255 15400711506 17967496757 25667852510 35934993514 38501778765 53902490271 77003557530 89837483785 105238195291 107804980542 179674967570 210476390582 269512451355 315714585873 526190976455 539024902710 631429171746 736667367037 1052381952910 1473334734074 1578572929365 2210002101111 3157145858730 3683336835185 4420004202222 7366673670370 11050010505555 22100021011110