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11212013110221 = 367111027119447
BaseRepresentation
bin1010001100101000000000…
…0011110000001111001101
31110200212011110201121000000
42203022000003300033031
52432144200324011341
635502421104154513
72235020064656310
oct243120003601715
943625143647000
1011212013110221
113632a96116680
121310b68608a39
13634399518171
142aa942cc8977
151469b45dd8b6
hexa32800f03cd

11212013110221 has 112 divisors (see below), whose sum is σ = 20961451450368. Its totient is φ = 5823555847200.

The previous prime is 11212013110187. The next prime is 11212013110229. The reversal of 11212013110221 is 12201131021211.

It is a happy number.

11212013110221 is a `hidden beast` number, since 1 + 12 + 120 + 1 + 311 + 0 + 221 = 666.

It is not a de Polignac number, because 11212013110221 - 210 = 11212013109197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11212013110194 and 11212013110203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212013110229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 576532320 + ... + 576551766.

Almost surely, 211212013110221 is an apocalyptic number.

11212013110221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11212013110221 is a deficient number, since it is larger than the sum of its proper divisors (9749438340147).

11212013110221 is a wasteful number, since it uses less digits than its factorization.

11212013110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29754 (or 29739 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11212013110221 its reverse (12201131021211), we get a palindrome (23413144131432).

The spelling of 11212013110221 in words is "eleven trillion, two hundred twelve billion, thirteen million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 243 297 567 693 729 891 1701 2079 2673 5103 6237 8019 10271 18711 19447 30813 56133 58341 71897 92439 112981 136129 175023 213917 215691 277317 338943 408387 525069 641751 647073 790867 831951 1016829 1225161 1497419 1575207 1925253 1941219 2372601 2495853 3050487 3675483 4492257 4725621 5775759 5823657 7117803 7487559 9151461 11026449 13476771 14176863 17327277 17470971 21353409 27454383 33079347 40430313 51981831 52412913 64060227 82363149 99238041 121290939 155945493 192180681 199740137 363872817 576542043 599220411 1091618451 1398180959 1797661233 2197141507 4194542877 5392983699 6591424521 12583628631 15379990549 16178951097 19774273563 37750885893 46139971647 48536853291 59322820689 113252657679 138419914941 145610559873 177968462067 339757973037 415259744823 533905386201 1019273919111 1245779234469 1601716158603 3737337703407 11212013110221