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12887382010 = 25358992
BaseRepresentation
bin11000000000010010…
…11101011111111010
31020021010212211121211
430000021131133322
5202343132211020
65530445153334
7634234640206
oct140011353772
936233784554
1012887382010
115513655938
1225b7b5b84a
1312a4c60b39
148a3811b06
1550660885a
hex30025d7fa

12887382010 has 12 divisors (see below), whose sum is σ = 23197933818. Its totient is φ = 5154809208.

The previous prime is 12887381993. The next prime is 12887382017. The reversal of 12887382010 is 1028378821.

12887382010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11598643809 + 1288738201 = 107697^2 + 35899^2 .

It is not an unprimeable number, because it can be changed into a prime (12887382017) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 341041 + ... + 376939.

Almost surely, 212887382010 is an apocalyptic number.

12887382010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12887382010 is a deficient number, since it is larger than the sum of its proper divisors (10310551808).

12887382010 is an frugal number, since it uses more digits than its factorization.

12887382010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71805 (or 35906 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

Multiplying 12887382010 by its sum of digits (40), we get a square (515495280400 = 7179802).

The spelling of 12887382010 in words is "twelve billion, eight hundred eighty-seven million, three hundred eighty-two thousand, ten".

Divisors: 1 2 5 10 35899 71798 179495 358990 1288738201 2577476402 6443691005 12887382010