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13123302004140 = 22351737933947183
BaseRepresentation
bin1011111011111000000111…
…0000010001010110101100
31201110120112110222022220120
42332332001300101112230
53210003010303113030
643524432310244540
72523061441344126
oct276760160212654
951416473868816
1013123302004140
1141aa619948459
12157b473356750
137426a2ca7093
14335257b0a216
1517b579489010
hexbef81c115ac

13123302004140 has 96 divisors (see below), whose sum is σ = 39009388078080. Its totient is φ = 3285000907776.

The previous prime is 13123302004091. The next prime is 13123302004199. The reversal of 13123302004140 is 4140020332131.

It is a happy number.

13123302004140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13123302004140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16587012 + ... + 17360171.

It is an arithmetic number, because the mean of its divisors is an integer number (406347792480).

Almost surely, 213123302004140 is an apocalyptic number.

13123302004140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123302004140 is an abundant number, since it is smaller than the sum of its proper divisors (25886086073940).

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

13123302004140 is a wasteful number, since it uses less digits than its factorization.

13123302004140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33947591 (or 33947589 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13123302004140 its reverse (4140020332131), we get a palindrome (17263322336271).

The spelling of 13123302004140 in words is "thirteen trillion, one hundred twenty-three billion, three hundred two million, four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 379 510 758 1020 1137 1516 1895 2274 3790 4548 5685 6443 7580 11370 12886 19329 22740 25772 32215 38658 64430 77316 96645 128860 193290 386580 33947183 67894366 101841549 135788732 169735915 203683098 339471830 407366196 509207745 577102111 678943660 1018415490 1154204222 1731306333 2036830980 2308408444 2885510555 3462612666 5771021110 6925225332 8656531665 11542042220 12865982357 17313063330 25731964714 34626126660 38597947071 51463929428 64329911785 77195894142 128659823570 154391788284 192989735355 218721700069 257319647140 385979470710 437443400138 656165100207 771958941420 874886800276 1093608500345 1312330200414 2187217000690 2624660400828 3280825501035 4374434001380 6561651002070 13123302004140