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12242140130433 = 331289347359383
BaseRepresentation
bin1011001000100101100001…
…1010011110110010000001
31121100100002210110012211110
42302021120122132302001
53101033400333133213
642011543405233533
72402315434114443
oct262113032366201
947310083405743
1012242140130433
11399a953a51784
121458737b628a9
136aa576290185
143047465a2493
151636a5bbe5c3
hexb225869ec81

12242140130433 has 96 divisors (see below), whose sum is σ = 17197476249600. Its totient is φ = 7744940839680.

The previous prime is 12242140130431. The next prime is 12242140130447. The reversal of 12242140130433 is 33403104124221.

It is not a de Polignac number, because 12242140130433 - 21 = 12242140130431 is a prime.

It is a super-2 number, since 2×122421401304332 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12242140130433.

It is not an unprimeable number, because it can be changed into a prime (12242140130431) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 31963812160 + ... + 31963812542.

It is an arithmetic number, because the mean of its divisors is an integer number (179140377600).

Almost surely, 212242140130433 is an apocalyptic number.

It is an amenable number.

12242140130433 is a deficient number, since it is larger than the sum of its proper divisors (4955336119167).

12242140130433 is a wasteful number, since it uses less digits than its factorization.

12242140130433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12242140130433 its reverse (33403104124221), we get a palindrome (45645244254654).

The spelling of 12242140130433 in words is "twelve trillion, two hundred forty-two billion, one hundred forty million, one hundred thirty thousand, four hundred thirty-three".

Divisors: 1 3 31 89 93 267 347 359 383 961 1041 1077 1149 2759 2883 8277 10757 11129 11873 30883 31951 32271 33387 34087 35619 85529 92649 95853 102261 124573 132901 137497 256587 333467 344999 368063 373719 398703 412491 957373 990481 1000401 1034997 1056697 1104189 2872119 2971443 3170091 3861763 4119931 4262407 11086997 11585289 11828189 12237233 12359793 12787221 29678563 30704911 32757607 33260991 35484567 36711699 47711459 89035689 92114733 98272821 119714653 127717861 132134617 143134377 343696907 359143959 366673859 379354223 383153583 396403851 1031090721 1100021577 1138062669 1479055229 4246319851 4437165687 10654604117 11366889629 11759980913 12738959553 31963812351 34100668887 35279942739 45850712099 131635915381 137552136297 394907746143 4080713376811 12242140130433