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13112514325053 = 32111324152380833
BaseRepresentation
bin1011111011001111111011…
…0000100010101000111101
31201102112200200001110012200
42332303332300202220331
53204313412131400203
643515450025022113
72522230220522523
oct276637660425075
951375620043180
1013112514325053
1141a5a935484a0
121579362624939
1374167405bb10
14334913108313
1517b1473899a3
hexbecfec22a3d

13112514325053 has 96 divisors (see below), whose sum is σ = 22386868952448. Its totient is φ = 7291175731200.

The previous prime is 13112514325013. The next prime is 13112514325147. The reversal of 13112514325053 is 35052341521131.

It is a happy number.

13112514325053 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 5 + 143 + 2 + 505 + 3 = 666.

It is not a de Polignac number, because 13112514325053 - 26 = 13112514324989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13112514324999 and 13112514325017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112514325013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162176925 + ... + 162257757.

It is an arithmetic number, because the mean of its divisors is an integer number (233196551588).

Almost surely, 213112514325053 is an apocalyptic number.

13112514325053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13112514325053 is a deficient number, since it is larger than the sum of its proper divisors (9274354627395).

13112514325053 is a wasteful number, since it uses less digits than its factorization.

13112514325053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81627 (or 81624 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 13112514325053 its reverse (35052341521131), we get a palindrome (48164855846184).

The spelling of 13112514325053 in words is "thirteen trillion, one hundred twelve billion, five hundred fourteen million, three hundred twenty-five thousand, fifty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 241 429 523 723 1287 1569 2169 2651 3133 4707 5753 6799 7953 9399 17259 20397 23859 28197 34463 51777 61191 74789 80833 103389 126043 224367 242499 310167 378129 673101 727497 889163 1050829 1134387 1386473 1638559 2667489 3152487 4159419 4915677 8002467 9457461 11559119 12478257 14747031 18024149 19480753 34677357 42275659 54072447 58442259 104032071 126826977 162217341 175326777 214288283 253249789 380480931 465032249 549583567 642864849 759749367 1395096747 1648750701 1928594547 2279248101 2785747679 4185290241 4946252103 6045419237 8357243037 10188433819 18136257711 25071729111 30565301457 54408773133 91695904371 112072772009 132449639647 336218316027 397348918941 1008654948081 1192046756823 1456946036117 4370838108351 13112514325053