Search a number
-
+
13003300212 = 2237154801193
BaseRepresentation
bin11000001110000111…
…01001110101110100
31020120020000002111120
430013003221311310
5203112321101322
65550145503540
7640143141150
oct140703516564
936506002446
1013003300212
115573029a01
12262a941bb0
1312c2c88ba6
148b4d88060
155118a4a5c
hex3070e9d74

13003300212 has 24 divisors (see below), whose sum is σ = 34675467456. Its totient is φ = 3715228608.

The previous prime is 13003300159. The next prime is 13003300213. The reversal of 13003300212 is 21200330031.

13003300212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13003300191 and 13003300200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003300213) 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, 77400513 + ... + 77400680.

It is an arithmetic number, because the mean of its divisors is an integer number (1444811144).

Almost surely, 213003300212 is an apocalyptic number.

13003300212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13003300212 is an abundant number, since it is smaller than the sum of its proper divisors (21672167244).

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

13003300212 is a wasteful number, since it uses less digits than its factorization.

13003300212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154801207 (or 154801205 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13003300212 its reverse (21200330031), we get a palindrome (34203630243).

The spelling of 13003300212 in words is "thirteen billion, three million, three hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 154801193 309602386 464403579 619204772 928807158 1083608351 1857614316 2167216702 3250825053 4334433404 6501650106 13003300212