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13105443103140 = 22355313127313949
BaseRepresentation
bin1011111010110101100101…
…0001111110000110100100
31201101212102212022011022210
42332231121101332012210
53204204421413300030
643512320224123420
72521560045240303
oct276553121760644
951355385264283
1013105443103140
1141a2a94a78843
121577b0a466570
13740ab807a13b
14334441d2c43a
1517ad816a2bb0
hexbeb5947e1a4

13105443103140 has 96 divisors (see below), whose sum is σ = 37390570963200. Its totient is φ = 3428573364736.

The previous prime is 13105443103121. The next prime is 13105443103157. The reversal of 13105443103140 is 4130134450131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13105443103098 and 13105443103107.

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, 41586886 + ... + 41900834.

It is an arithmetic number, because the mean of its divisors is an integer number (389485114200).

Almost surely, 213105443103140 is an apocalyptic number.

13105443103140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105443103140 is an abundant number, since it is smaller than the sum of its proper divisors (24285127860060).

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

13105443103140 is a wasteful number, since it uses less digits than its factorization.

13105443103140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327141 (or 327139 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 13105443103140 its reverse (4130134450131), we get a palindrome (17235577553271).

The spelling of 13105443103140 in words is "thirteen trillion, one hundred five billion, four hundred forty-three million, one hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 13127 26254 39381 52508 65635 78762 131270 157524 196905 262540 313949 393810 627898 695731 787620 941847 1255796 1391462 1569745 1883694 2087193 2782924 3139490 3478655 3767388 4174386 4709235 6278980 6957310 8348772 9418470 10435965 13914620 16639297 18836940 20871930 33278594 41743860 49917891 66557188 83196485 99835782 166392970 199671564 249589455 332785940 499178910 998357820 4121208523 8242417046 12363625569 16484834092 20606042615 24727251138 41212085230 49454502276 61818127845 82424170460 123636255690 218424051719 247272511380 436848103438 655272155157 873696206876 1092120258595 1310544310314 2184240517190 2621088620628 3276360775785 4368481034380 6552721551570 13105443103140