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1315109105960 = 235137333450281
BaseRepresentation
bin10011001000110010100…
…111000111000100101000
311122201112012210120011012
4103020302213013010220
5133021320412342320
62444053000123052
7164004425650106
oct23106247070450
94581465716135
101315109105960
11467809895121
12192a63466488
1397025424920
144791a090c76
15243205dc4c5
hex132329c7128

1315109105960 has 64 divisors (see below), whose sum is σ = 3190958804880. Its totient is φ = 484916152320.

The previous prime is 1315109105957. The next prime is 1315109106007. The reversal of 1315109105960 is 695019015131.

It can be written as a sum of positive squares in 8 ways, for example, as 484017969796 + 831091136164 = 695714^2 + 911642^2 .

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 15 ways as a sum of consecutive naturals, for example, 1343981 + ... + 2106300.

Almost surely, 21315109105960 is an apocalyptic number.

1315109105960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1315109105960 is an abundant number, since it is smaller than the sum of its proper divisors (1875849698920).

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

1315109105960 is a wasteful number, since it uses less digits than its factorization.

1315109105960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451038 (or 3451034 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 41.

The spelling of 1315109105960 in words is "one trillion, three hundred fifteen billion, one hundred nine million, one hundred five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 733 1466 2932 3665 5864 7330 9529 14660 19058 29320 38116 47645 76232 95290 190580 381160 3450281 6900562 13801124 17251405 27602248 34502810 44853653 69005620 89707306 138011240 179414612 224268265 358829224 448536530 897073060 1794146120 2529055973 5058111946 10116223892 12645279865 20232447784 25290559730 32877727649 50581119460 65755455298 101162238920 131510910596 164388638245 263021821192 328777276490 657554552980 1315109105960