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8085220130 = 2513232891321
BaseRepresentation
bin1111000011110101…
…01010101100100010
3202212110202201221102
413201322222230202
5113024304021010
63414142154402
7404234144231
oct74172525442
922773681842
108085220130
113479994609
121697882a02
139bb0b0530
14569b2cb18
15324c30ba5
hex1e1eaab22

8085220130 has 96 divisors (see below), whose sum is σ = 16580576880. Its totient is φ = 2821294080.

The previous prime is 8085220093. The next prime is 8085220141. The reversal of 8085220130 is 310225808.

It can be written as a sum of positive squares in 8 ways, for example, as 2637746881 + 5447473249 = 51359^2 + 73807^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8085220093 and 8085220102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6119870 + ... + 6121190.

Almost surely, 28085220130 is an apocalyptic number.

8085220130 is an abundant number, since it is smaller than the sum of its proper divisors (8495356750).

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

8085220130 is a wasteful number, since it uses less digits than its factorization.

8085220130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 8085220130 is about 89917.8521206996. The cubic root of 8085220130 is about 2007.0766087720.

Adding to 8085220130 its reverse (310225808), we get a palindrome (8395445938).

The spelling of 8085220130 in words is "eight billion, eighty-five million, two hundred twenty thousand, one hundred thirty".

Divisors: 1 2 5 10 13 23 26 46 65 89 115 130 178 230 299 445 529 598 890 1058 1157 1321 1495 2047 2314 2642 2645 2990 4094 5290 5785 6605 6877 10235 11570 13210 13754 17173 20470 26611 30383 34346 34385 47081 53222 60766 68770 85865 94162 117569 133055 151915 171730 235138 235405 266110 303830 394979 470810 587845 612053 698809 789958 1175690 1224106 1397618 1528397 1974895 2704087 3056794 3060265 3494045 3949790 5408174 6120530 6988090 7641985 9084517 13520435 15283970 18169034 27040870 35153131 45422585 62194001 70306262 90845170 124388002 175765655 310970005 351531310 621940010 808522013 1617044026 4042610065 8085220130