Search a number
-
+
13203303120 = 2432576474049
BaseRepresentation
bin11000100101111101…
…00110101011010000
31021002011100021220200
430102332212223100
5204020021144440
610022052335200
7645122140050
oct142276465320
937064307820
1013203303120
115665a14067
122685914500
1313255445c7
148d376b560
1552420ec30
hex312fa6ad0

13203303120 has 240 divisors, whose sum is σ = 50766393600. Its totient is φ = 3012489216.

The previous prime is 13203303109. The next prime is 13203303133. The reversal of 13203303120 is 2130330231.

13203303120 is a `hidden beast` number, since 1 + 3 + 20 + 330 + 312 + 0 = 666.

13203303120 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 (240).

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 = 13203303093 and 13203303102.

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 47 ways as a sum of consecutive naturals, for example, 3258856 + ... + 3262904.

It is an arithmetic number, because the mean of its divisors is an integer number (211526640).

Almost surely, 213203303120 is an apocalyptic number.

13203303120 is a gapful number since it is divisible by the number (10) 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 13203303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25383196800).

13203303120 is an abundant number, since it is smaller than the sum of its proper divisors (37563090480).

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

13203303120 is a wasteful number, since it uses less digits than its factorization.

13203303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4713 counting only the distinct ones).

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

Adding to 13203303120 its reverse (2130330231), we get a palindrome (15333633351).

The spelling of 13203303120 in words is "thirteen billion, two hundred three million, three hundred three thousand, one hundred twenty".