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11212010231121 = 3272313374994877
BaseRepresentation
bin1010001100100111111111…
…1000110001010101010001
31110200212011021022022121200
42203021333320301111101
52432144144104343441
635502420522341413
72235020031335400
oct243117770612521
943625137268550
1011212010231121
113632a9452a557
121310b6765a869
13634398a4a85b
142aa942779637
151469b42207b6
hexa327fe31551

11212010231121 has 144 divisors (see below), whose sum is σ = 19547745984000. Its totient is φ = 6168138439680.

The previous prime is 11212010231119. The next prime is 11212010231153. The reversal of 11212010231121 is 12113201021211.

It is a happy number.

11212010231121 is a `hidden beast` number, since 112 + 1 + 201 + 0 + 231 + 121 = 666.

It is not a de Polignac number, because 11212010231121 - 21 = 11212010231119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11212010231094 and 11212010231103.

It is not an unprimeable number, because it can be changed into a prime (11212010251121) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2298953935 + ... + 2298958811.

It is an arithmetic number, because the mean of its divisors is an integer number (135748236000).

Almost surely, 211212010231121 is an apocalyptic number.

It is an amenable number.

11212010231121 is a deficient number, since it is larger than the sum of its proper divisors (8335735752879).

11212010231121 is a wasteful number, since it uses less digits than its factorization.

11212010231121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764 (or 5754 counting only the distinct ones).

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

Adding to 11212010231121 its reverse (12113201021211), we get a palindrome (23325211252332).

The spelling of 11212010231121 in words is "eleven trillion, two hundred twelve billion, ten million, two hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 31 49 63 93 147 217 279 337 441 499 651 1011 1497 1519 1953 2359 3033 3493 4491 4557 4877 7077 10447 10479 13671 14631 15469 16513 21231 24451 31341 31437 34139 43893 46407 49539 73129 73353 94023 102417 108283 139221 148617 151187 168163 219387 220059 238973 307251 324849 453561 504489 511903 658161 716919 757981 974547 1058309 1177141 1360683 1513467 1535709 1643549 2150757 2273943 2433623 3174927 3531423 4607127 4930647 5213053 6821829 7300869 7408163 8239987 9524781 10594269 11504843 14791941 15639159 17035361 21902607 22224489 24719961 34514529 36491371 46917477 50950019 51106083 66673467 74159883 75442313 80533901 103543587 109474113 119247527 152850057 153318249 226326939 241601703 255439597 328422339 356650133 357742581 458550171 528096191 678980817 724805109 766318791 820130951 1069950399 1073227743 1584288573 2298956373 2460392853 2496550931 3209851197 3696673337 4752865719 5740916657 7381178559 7489652793 11090020011 17222749971 22468958379 25424059481 33270060033 40186416599 51668249913 76272178443 120559249797 177968416367 228816535329 361677749391 533905249101 1245778914569 1601715747303 3737336743707 11212010231121