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13105405254020 = 2254759972436121
BaseRepresentation
bin1011111010110101011100…
…0001100101100110000100
31201101212100020002020002112
42332231113001211212010
53204204332221112040
643512312353000152
72521556105441102
oct276552701454604
951355306066075
1013105405254020
1141a2a75677182
121577ab9853058
13740ab0287601
1433443acb8c72
1517ad7d1c8365
hexbeb57065984

13105405254020 has 96 divisors (see below), whose sum is σ = 28877985077760. Its totient is φ = 4991668346880.

The previous prime is 13105405253981. The next prime is 13105405254023. The reversal of 13105405254020 is 2045250450131.

13105405254020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13105405254023) 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, 4161560 + ... + 6597680.

It is an arithmetic number, because the mean of its divisors is an integer number (300812344560).

Almost surely, 213105405254020 is an apocalyptic number.

13105405254020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105405254020 is an abundant number, since it is smaller than the sum of its proper divisors (15772579823740).

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

13105405254020 is a wasteful number, since it uses less digits than its factorization.

13105405254020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436333 (or 2436331 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 13105405254020 in words is "thirteen trillion, one hundred five billion, four hundred five million, two hundred fifty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 47 59 94 97 118 188 194 235 236 295 388 470 485 590 940 970 1180 1940 2773 4559 5546 5723 9118 11092 11446 13865 18236 22795 22892 27730 28615 45590 55460 57230 91180 114460 268981 537962 1075924 1344905 2436121 2689810 4872242 5379620 9744484 12180605 24361210 48722420 114497687 143731139 228995374 236303737 287462278 457990748 472607474 572488435 574924556 718655695 945214948 1144976870 1181518685 1437311390 2289953740 2363037370 2874622780 4726074740 6755363533 11106275639 13510727066 13941920483 22212551278 27021454132 27883840966 33776817665 44425102556 55531378195 55767681932 67553635330 69709602415 111062756390 135107270660 139419204830 222125512780 278838409660 655270262701 1310540525402 2621081050804 3276351313505 6552702627010 13105405254020