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12613121031105 = 3257151373710929
BaseRepresentation
bin1011011110001011100010…
…0110010011101111000001
31122122210200002110121012200
42313202320212103233001
53123123132440443410
642454215433343413
72441160616542360
oct267427046235701
948583602417180
1012613121031105
114023215aa9261
1214b8610867b69
1370654881710a
1431869a6d57d7
1516d169b4b3c0
hexb78b8993bc1

12613121031105 has 96 divisors (see below), whose sum is σ = 25218927951360. Its totient is φ = 5712448665600.

The previous prime is 12613121031103. The next prime is 12613121031109. The reversal of 12613121031105 is 50113012131621.

12613121031105 is a `hidden beast` number, since 1 + 2 + 6 + 131 + 210 + 311 + 0 + 5 = 666.

It is not a de Polignac number, because 12613121031105 - 21 = 12613121031103 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12613121031103) 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 95 ways as a sum of consecutive naturals, for example, 17386281 + ... + 18097209.

It is an arithmetic number, because the mean of its divisors is an integer number (262697166160).

Almost surely, 212613121031105 is an apocalyptic number.

12613121031105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12613121031105 is a deficient number, since it is larger than the sum of its proper divisors (12605806920255).

12613121031105 is a wasteful number, since it uses less digits than its factorization.

12613121031105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711471 (or 711468 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 12613121031105 its reverse (50113012131621), we get a palindrome (62726133162726).

The spelling of 12613121031105 in words is "twelve trillion, six hundred thirteen billion, one hundred twenty-one million, thirty-one thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 151 315 373 453 755 1057 1119 1359 1865 2265 2611 3171 3357 5285 5595 6795 7833 9513 13055 15855 16785 23499 39165 47565 56323 117495 168969 281615 394261 506907 710929 844845 1182783 1971305 2132787 2534535 3548349 3554645 4976503 5913915 6398361 10663935 14929509 17741745 24882515 31991805 44788527 74647545 107350279 223942635 265176517 322050837 536751395 751451953 795529551 966152511 1325882585 1610254185 1856235619 2254355859 2386588653 3757259765 3977647755 4830762555 5568706857 6763067577 9281178095 11271779295 11932943265 16706120571 27843534285 33815337885 40041654067 83530602855 120124962201 200208270335 280291578469 360374886603 600624811005 840874735407 1401457892345 1801874433015 2522624206221 4204373677035 12613121031105