Search a number
-
+
13323124512 = 253375120533
BaseRepresentation
bin11000110100001111…
…01011111100100000
31021101111210211222000
430122013223330200
5204241204441022
610042012444000
7651105455415
oct143207537440
937344724860
1013323124512
115717613705
1226b9a79600
131344308139
1490563c10c
1552e9cc6ac
hex31a1ebf20

13323124512 has 96 divisors (see below), whose sum is σ = 38912751360. Its totient is φ = 4434912000.

The previous prime is 13323124499. The next prime is 13323124531. The reversal of 13323124512 is 21542132331.

13323124512 is a `hidden beast` number, since 1 + 3 + 3 + 23 + 124 + 512 = 666.

13323124512 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 638598 + ... + 659130.

It is an arithmetic number, because the mean of its divisors is an integer number (405341160).

Almost surely, 213323124512 is an apocalyptic number.

13323124512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13323124512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19456375680).

13323124512 is an abundant number, since it is smaller than the sum of its proper divisors (25589626848).

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

13323124512 is a wasteful number, since it uses less digits than its factorization.

13323124512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21303 (or 21289 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 13323124512 its reverse (21542132331), we get a palindrome (34865256843).

The spelling of 13323124512 in words is "thirteen billion, three hundred twenty-three million, one hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 751 864 1502 2253 3004 4506 6008 6759 9012 12016 13518 18024 20277 20533 24032 27036 36048 40554 41066 54072 61599 72096 81108 82132 108144 123198 162216 164264 184797 216288 246396 324432 328528 369594 492792 554391 648864 657056 739188 985584 1108782 1478376 1971168 2217564 2956752 4435128 5913504 8870256 15420283 17740512 30840566 46260849 61681132 92521698 123362264 138782547 185043396 246724528 277565094 370086792 416347641 493449056 555130188 740173584 832695282 1110260376 1480347168 1665390564 2220520752 3330781128 4441041504 6661562256 13323124512