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213302320032 = 25317130699951
BaseRepresentation
bin1100011010100111001…
…1110001101110100000
3202101120101221120002010
43012221303301232200
511443320343220112
6241553440552520
721260554543104
oct3065163615640
9671511846063
10213302320032
118250866511a
123540a622740
1317164221969
14a476a65904
1558361e263c
hex31a9cf1ba0

213302320032 has 48 divisors (see below), whose sum is σ = 592854982272. Its totient is φ = 66918374400.

The previous prime is 213302320001. The next prime is 213302320037. The reversal of 213302320032 is 230023203312.

213302320032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 213302319990 and 213302320008.

It is not an unprimeable number, because it can be changed into a prime (213302320037) 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 7 ways as a sum of consecutive naturals, for example, 65348344 + ... + 65351607.

It is an arithmetic number, because the mean of its divisors is an integer number (12351145464).

Almost surely, 2213302320032 is an apocalyptic number.

It is an amenable number.

213302320032 is an abundant number, since it is smaller than the sum of its proper divisors (379552662240).

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

213302320032 is a wasteful number, since it uses less digits than its factorization.

213302320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130699981 (or 130699973 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 213302320032 its reverse (230023203312), we get a palindrome (443325523344).

The spelling of 213302320032 in words is "two hundred thirteen billion, three hundred two million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 130699951 261399902 392099853 522799804 784199706 1045599608 1568399412 2091199216 2221899167 3136798824 4182398432 4443798334 6273597648 6665697501 8887596668 12547195296 13331395002 17775193336 26662790004 35550386672 53325580008 71100773344 106651160016 213302320032