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11132432331120 = 243355397243469
BaseRepresentation
bin1010000111111111100010…
…1011001011000101110000
31110102020202100110010222000
42201333320223023011300
52424343210134043440
635402100244014000
72226202023342132
oct241777053130560
943366670403860
1011132432331120
113602268913451
1212b9659091300
13629a261c4569
142a6b53ab9052
151448a7d2d730
hexa1ff8acb170

11132432331120 has 160 divisors (see below), whose sum is σ = 39068536507200. Its totient is φ = 2912636353536.

The previous prime is 11132432331077. The next prime is 11132432331121. The reversal of 11132432331120 is 2113323423111.

11132432331120 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 2 + 4 + 323 + 311 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132432331121) 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 31 ways as a sum of consecutive naturals, for example, 48507255 + ... + 48736214.

It is an arithmetic number, because the mean of its divisors is an integer number (244178353170).

Almost surely, 211132432331120 is an apocalyptic number.

11132432331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132432331120 is an abundant number, since it is smaller than the sum of its proper divisors (27936104176080).

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

11132432331120 is a wasteful number, since it uses less digits than its factorization.

11132432331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97243544 (or 97243532 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11132432331120 its reverse (2113323423111), we get a palindrome (13245755754231).

The spelling of 11132432331120 in words is "eleven trillion, one hundred thirty-two billion, four hundred thirty-two million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 53 54 60 72 80 90 106 108 120 135 144 159 180 212 216 240 265 270 318 360 424 432 477 530 540 636 720 795 848 954 1060 1080 1272 1431 1590 1908 2120 2160 2385 2544 2862 3180 3816 4240 4770 5724 6360 7155 7632 9540 11448 12720 14310 19080 22896 28620 38160 57240 114480 97243469 194486938 291730407 388973876 486217345 583460814 777947752 875191221 972434690 1166921628 1458652035 1555895504 1750382442 1944869380 2333843256 2625573663 2917304070 3500764884 3889738760 4375956105 4667686512 5153903857 5251147326 5834608140 7001529768 7779477520 8751912210 10307807714 10502294652 11669216280 13127868315 14003059536 15461711571 17503824420 20615615428 21004589304 23338432560 25769519285 26255736630 30923423142 35007648840 41231230856 42009178608 46385134713 51539038570 52511473260 61846846284 70015297680 77308557855 82462461712 92770269426 103078077140 105022946520 123693692568 139155404139 154617115710 185540538852 206156154280 210045893040 231925673565 247387385136 278310808278 309234231420 371081077704 412312308560 463851347130 556621616556 618468462840 695777020695 742162155408 927702694260 1113243233112 1236936925680 1391554041390 1855405388520 2226486466224 2783108082780 3710810777040 5566216165560 11132432331120