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13303224032 = 257219743067
BaseRepresentation
bin11000110001110111…
…10001011011100000
31021100010100210122012
430120323301123200
5204221111132112
610040022132052
7650444352500
oct143073613340
937303323565
1013303224032
11570736112a
1226b3281028
13134015b0c7
14902b3ba00
1552cd9b022
hex318ef16e0

13303224032 has 72 divisors (see below), whose sum is σ = 30622123224. Its totient is φ = 5672308992.

The previous prime is 13303224023. The next prime is 13303224037. The reversal of 13303224032 is 23042230331.

13303224032 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 = 13303223989 and 13303224007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303224037) 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 11 ways as a sum of consecutive naturals, for example, 287363 + ... + 330429.

It is an arithmetic number, because the mean of its divisors is an integer number (425307267).

Almost surely, 213303224032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13303224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311061612).

13303224032 is an abundant number, since it is smaller than the sum of its proper divisors (17318899192).

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

13303224032 is a wasteful number, since it uses less digits than its factorization.

13303224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43288 (or 43273 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 13303224032 its reverse (23042230331), we get a palindrome (36345454363).

The spelling of 13303224032 in words is "thirteen billion, three hundred three million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 197 224 392 394 784 788 1379 1568 1576 2758 3152 5516 6304 9653 11032 19306 22064 38612 43067 44128 77224 86134 154448 172268 301469 308896 344536 602938 689072 1205876 1378144 2110283 2411752 4220566 4823504 8441132 8484199 9647008 16882264 16968398 33764528 33936796 59389393 67529056 67873592 118778786 135747184 237557572 271494368 415725751 475115144 831451502 950230288 1662903004 1900460576 3325806008 6651612016 13303224032