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13105405421010 = 232573424535323
BaseRepresentation
bin1011111010110101011100…
…0010001110010111010010
31201101212100020101201011100
42332231113002032113102
53204204332241433020
643512312400325230
72521556110035000
oct276552702162722
951355306351140
1013105405421010
1141a2a75780691
121577ab9913816
13740ab0315616
1433443ad1da70
1517ad7d20ca90
hexbeb5708e5d2

13105405421010 has 96 divisors (see below), whose sum is σ = 39736506326400. Its totient is φ = 2995521232032.

The previous prime is 13105405420999. The next prime is 13105405421023. The reversal of 13105405421010 is 1012450450131.

13105405421010 is a `hidden beast` number, since 1 + 3 + 10 + 5 + 4 + 0 + 542 + 101 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212236792 + ... + 212298531.

It is an arithmetic number, because the mean of its divisors is an integer number (413921940900).

Almost surely, 213105405421010 is an apocalyptic number.

13105405421010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13105405421010 is an abundant number, since it is smaller than the sum of its proper divisors (26631100905390).

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

13105405421010 is a wasteful number, since it uses less digits than its factorization.

13105405421010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424535357 (or 424535340 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 13105405421010 its reverse (1012450450131), we get a palindrome (14117855871141).

The spelling of 13105405421010 in words is "thirteen trillion, one hundred five billion, four hundred five million, four hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 343 441 490 630 686 735 882 1029 1470 1715 2058 2205 3087 3430 4410 5145 6174 10290 15435 30870 424535323 849070646 1273605969 2122676615 2547211938 2971747261 3820817907 4245353230 5943494522 6368029845 7641635814 8915241783 12736059690 14858736305 17830483566 19104089535 20802230827 26745725349 29717472610 38208179070 41604461654 44576208915 53491450698 62406692481 89152417830 104011154135 124813384962 133728626745 145615615789 187220077443 208022308270 267457253490 291231231578 312033462405 374440154886 436846847367 624066924810 728078078945 873693694734 936100387215 1310540542101 1456156157890 1872200774430 2184234236835 2621081084202 4368468473670 6552702710505 13105405421010