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13201020012 = 2232803392467
BaseRepresentation
bin11000100101101011…
…11001010001101100
31021002000001022002010
430102311321101230
5204013430120022
610021531401220
7645063550545
oct142265712154
937060038063
1013201020012
1156646a47a4
122684bb3210
131324c2535b
148d33354cc
15523e0d50c
hex312d7946c

13201020012 has 24 divisors (see below), whose sum is σ = 30813447616. Its totient is φ = 4398758928.

The previous prime is 13201020011. The next prime is 13201020017. The reversal of 13201020012 is 21002010231.

13201020012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 13201020012.

It is not an unprimeable number, because it can be changed into a prime (13201020011) 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 7 ways as a sum of consecutive naturals, for example, 162598 + ... + 229869.

Almost surely, 213201020012 is an apocalyptic number.

13201020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13201020012 is an abundant number, since it is smaller than the sum of its proper divisors (17612427604).

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

13201020012 is a wasteful number, since it uses less digits than its factorization.

13201020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395277 (or 395275 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13201020012 its reverse (21002010231), we get a palindrome (34203030243).

The spelling of 13201020012 in words is "thirteen billion, two hundred one million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 2803 5606 8409 11212 16818 33636 392467 784934 1177401 1569868 2354802 4709604 1100085001 2200170002 3300255003 4400340004 6600510006 13201020012