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213113202003 = 32131012178559
BaseRepresentation
bin1100011001111010001…
…0010110010101010011
3202101002020002100220200
43012132202112111103
511442423434431003
6241523003310243
721253100220432
oct3063642262523
9671066070820
10213113202003
1182420934a29
123537721b383
1317133ca77c0
14a4598b7119
1558247d76a3
hex319e896553

213113202003 has 36 divisors (see below), whose sum is σ = 334826069760. Its totient is φ = 129847377600.

The previous prime is 213113201999. The next prime is 213113202031. The reversal of 213113202003 is 300202311312.

213113202003 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 213113202003 - 22 = 213113201999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213113202073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1104238 + ... + 1282796.

It is an arithmetic number, because the mean of its divisors is an integer number (9300724160).

Almost surely, 2213113202003 is an apocalyptic number.

213113202003 is a deficient number, since it is larger than the sum of its proper divisors (121712867757).

213113202003 is a wasteful number, since it uses less digits than its factorization.

213113202003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178780 (or 178676 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213113202003 its reverse (300202311312), we get a palindrome (513315513315).

The spelling of 213113202003 in words is "two hundred thirteen billion, one hundred thirteen million, two hundred two thousand, three".

Divisors: 1 3 9 13 39 101 117 303 909 1313 3939 10201 11817 30603 91809 132613 178559 397839 535677 1193517 1607031 2321267 6963801 18034459 20891403 54103377 162310131 234447967 703343901 1821480359 2110031703 5464441077 16393323231 23679244667 71037734001 213113202003