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13016420505 = 3251126295799
BaseRepresentation
bin11000001111101011…
…01101000010011001
31020121010200200011100
430013311231002121
5203124200424010
65551335022013
7640362514554
oct140765550231
936533620140
1013016420505
11557a480420
12263320a909
1312c5900a8a
148b6a0169b
15512ae72c0
hex307d6d099

13016420505 has 24 divisors (see below), whose sum is σ = 24612868800. Its totient is φ = 6310991520.

The previous prime is 13016420503. The next prime is 13016420531. The reversal of 13016420505 is 50502461031.

13016420505 is a `hidden beast` number, since 13 + 0 + 1 + 642 + 0 + 5 + 0 + 5 = 666.

13016420505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13016420505 - 21 = 13016420503 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13016420503) 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 23 ways as a sum of consecutive naturals, for example, 13147405 + ... + 13148394.

It is an arithmetic number, because the mean of its divisors is an integer number (1025536200).

Almost surely, 213016420505 is an apocalyptic number.

13016420505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13016420505 is a deficient number, since it is larger than the sum of its proper divisors (11596448295).

13016420505 is a wasteful number, since it uses less digits than its factorization.

13016420505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26295821 (or 26295818 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 13016420505 its reverse (50502461031), we get a palindrome (63518881536).

The spelling of 13016420505 in words is "thirteen billion, sixteen million, four hundred twenty thousand, five hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 26295799 78887397 131478995 236662191 289253789 394436985 867761367 1183310955 1446268945 2603284101 4338806835 13016420505