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113232100022120 = 235239283295314173
BaseRepresentation
bin11001101111101111100111…
…000110010101011101101000
3112211220212211201221211012202
4121233233213012111131220
5104320143320101201440
61040454035244155332
732564514665435162
oct3157574706253550
9484825751854182
10113232100022120
1133096511564872
1210849181238b48
134b249835b0551
141dd666a217932
15d15660573615
hex66fbe7195768

113232100022120 has 128 divisors (see below), whose sum is σ = 256847303462400. Its totient is φ = 44925564708864.

The previous prime is 113232100022113. The next prime is 113232100022123. The reversal of 113232100022120 is 21220001232311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113232100022092 and 113232100022101.

It is not an unprimeable number, because it can be changed into a prime (113232100022123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7989275354 + ... + 7989289526.

It is an arithmetic number, because the mean of its divisors is an integer number (2006619558300).

Almost surely, 2113232100022120 is an apocalyptic number.

113232100022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113232100022120 is an abundant number, since it is smaller than the sum of its proper divisors (143615203440280).

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

113232100022120 is a wasteful number, since it uses less digits than its factorization.

113232100022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17659 (or 17655 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 113232100022120 its reverse (21220001232311), we get a palindrome (134452101254431).

The spelling of 113232100022120 in words is "one hundred thirteen trillion, two hundred thirty-two billion, one hundred million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 239 283 478 566 956 1132 1195 1415 1912 2264 2390 2830 2953 4780 5660 5906 9560 11320 11812 14173 14765 23624 28346 29530 56692 59060 67637 70865 113384 118120 135274 141730 270548 283460 338185 541096 566920 676370 705767 835699 1352740 1411534 1671398 2705480 2823068 3342796 3387347 3528835 4010959 4178495 5646136 6685592 6774694 7057670 8021918 8356990 13549388 14115340 16043836 16713980 16936735 20054795 27098776 28230680 32087672 33427960 33873470 40109590 41852869 67746940 80219180 83705738 135493880 160438360 167411476 199732061 209264345 334822952 399464122 418528690 798928244 837057380 958619201 998660305 1597856488 1674114760 1917238402 1997320610 3834476804 3994641220 4793096005 7668953608 7989282440 9586192010 10002835691 11844361927 19172384020 20005671382 23688723854 38344768040 40011342764 47377447708 50014178455 59221809635 80022685528 94754895416 100028356910 118443619270 200056713820 236887238540 400113427640 473774477080 2830802500553 5661605001106 11323210002212 14154012502765 22646420004424 28308025005530 56616050011060 113232100022120