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13240124112042 = 232571101910871163
BaseRepresentation
bin1100000010101011010011…
…1001001111110010101010
31201212202002000101021222200
43000222310321033302222
53213411233233041132
644054232401401030
72534365422025032
oct300526471176252
951782060337880
1013240124112042
11424511798a173
12159a036939176
137506cc993609
1433ab7ad808c2
1517e61545bd7c
hexc0ab4e4fcaa

13240124112042 has 96 divisors (see below), whose sum is σ = 28816596357120. Its totient is φ = 4393491973920.

The previous prime is 13240124112037. The next prime is 13240124112049. The reversal of 13240124112042 is 24021142104231.

13240124112042 is a `hidden beast` number, since 1 + 3 + 2 + 40 + 1 + 2 + 411 + 204 + 2 = 666.

13240124112042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13240124111997 and 13240124112015.

It is not an unprimeable number, because it can be changed into a prime (13240124112049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11384456953 + ... + 11384458115.

It is an arithmetic number, because the mean of its divisors is an integer number (300172878720).

Almost surely, 213240124112042 is an apocalyptic number.

13240124112042 is an abundant number, since it is smaller than the sum of its proper divisors (15576472245078).

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

13240124112042 is a wasteful number, since it uses less digits than its factorization.

13240124112042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13240124112042 its reverse (24021142104231), we get a palindrome (37261266216273).

The spelling of 13240124112042 in words is "thirteen trillion, two hundred forty billion, one hundred twenty-four million, one hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 9 18 571 1019 1087 1142 1163 1713 2038 2174 2326 3057 3261 3426 3489 5139 6114 6522 6978 9171 9783 10278 10467 18342 19566 20934 581849 620677 664073 1107653 1163698 1185097 1241354 1264181 1328146 1745547 1862031 1992219 2215306 2370194 2528362 3322959 3491094 3555291 3724062 3792543 3984438 5236641 5586093 5976657 6645918 7110582 7585086 9968877 10473282 10665873 11172186 11377629 11953314 19937754 21331746 22755258 632469863 676690387 721847351 1264939726 1288200439 1353380774 1443694702 1897409589 2030071161 2165542053 2576400878 3794819178 3864601317 4060142322 4331084106 5692228767 6090213483 6496626159 7729202634 11384457534 11593803951 12180426966 12993252318 23187607902 735562450669 1471124901338 2206687352007 4413374704014 6620062056021 13240124112042