Search a number
-
+
13223242032 = 243711213127197
BaseRepresentation
bin11000101000010101…
…01010100100110000
31021010112212021221220
430110022222210300
5204040122221112
610024043545040
7645453463020
oct142412524460
937115767856
1013223242032
1156761a2500
12269052b180
131329705c90
148d627ba80
15525d4c98c
hex3142aa930

13223242032 has 480 divisors, whose sum is σ = 46813003776. Its totient is φ = 3129477120.

The previous prime is 13223242013. The next prime is 13223242037. The reversal of 13223242032 is 23024232231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13223241993 and 13223242011.

It is not an unprimeable number, because it can be changed into a prime (13223242037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67122958 + ... + 67123154.

Almost surely, 213223242032 is an apocalyptic number.

13223242032 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 13223242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23406501888).

13223242032 is an abundant number, since it is smaller than the sum of its proper divisors (33589761744).

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

13223242032 is a wasteful number, since it uses less digits than its factorization.

13223242032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13223242032 its reverse (23024232231), we get a palindrome (36247474263).

It can be divided in two parts, 13223 and 242032, that added together give a triangular number (255255 = T714).

The spelling of 13223242032 in words is "thirteen billion, two hundred twenty-three million, two hundred forty-two thousand, thirty-two".