Search a number
-
+
13003300026 = 2324722036977
BaseRepresentation
bin11000001110000111…
…01001110010111010
31020120020000002020200
430013003221302322
5203112321100101
65550145503030
7640143140463
oct140703516272
936506002220
1013003300026
115573029852
12262a941a76
1312c2c88a92
148b4d87d6a
155118a4986
hex3070e9cba

13003300026 has 48 divisors (see below), whose sum is σ = 28790446464. Its totient is φ = 4239677952.

The previous prime is 13003299997. The next prime is 13003300027. The reversal of 13003300026 is 62000330031.

It is a happy number.

13003300026 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 13003299981 and 13003300008.

It is not an unprimeable number, because it can be changed into a prime (13003300027) 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, 1860250 + ... + 1867226.

It is an arithmetic number, because the mean of its divisors is an integer number (599800968).

Almost surely, 213003300026 is an apocalyptic number.

13003300026 is an abundant number, since it is smaller than the sum of its proper divisors (15787146438).

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

13003300026 is a wasteful number, since it uses less digits than its factorization.

13003300026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9235 (or 9232 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13003300026 its reverse (62000330031), we get a palindrome (75003630057).

The spelling of 13003300026 in words is "thirteen billion, three million, three hundred thousand, twenty-six".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 2203 4406 6609 6977 13218 13954 19827 20931 39654 41862 62793 103541 125586 207082 310623 327919 621246 655838 931869 983757 1863738 1967514 2951271 5902542 15370331 30740662 46110993 92221986 138332979 276665958 722405557 1444811114 2167216671 4334433342 6501650013 13003300026