Search a number
-
+
13223031030 = 2335115921279
BaseRepresentation
bin11000101000010011…
…10111000011110110
31021010112110120112000
430110021313003312
5204040043443110
610024035240130
7645451623606
oct142411670366
937115416460
1013223031030
115676068a20
122690449046
131329660c21
148d6224c06
15525d0a1c0
hex3142770f6

13223031030 has 192 divisors, whose sum is σ = 39160627200. Its totient is φ = 3148787520.

The previous prime is 13223031013. The next prime is 13223031043. The reversal of 13223031030 is 3013032231.

13223031030 is a `hidden beast` number, since 1 + 322 + 3 + 0 + 310 + 30 = 666.

13223031030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13223030994 and 13223031012.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 10337931 + ... + 10339209.

It is an arithmetic number, because the mean of its divisors is an integer number (203961600).

Almost surely, 213223031030 is an apocalyptic number.

13223031030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223031030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19580313600).

13223031030 is an abundant number, since it is smaller than the sum of its proper divisors (25937596170).

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

13223031030 is a wasteful number, since it uses less digits than its factorization.

13223031030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13223031030 its reverse (3013032231), we get a palindrome (16236063261).

The spelling of 13223031030 in words is "thirteen billion, two hundred twenty-three million, thirty-one thousand, thirty".