Search a number
-
+
203020113312 = 2534433115857
BaseRepresentation
bin1011110100010011110…
…0010001010110100000
3201102000211011100010000
42331010330101112200
511311241122111222
6233133253340000
720445012330042
oct2750474212640
9642024140100
10203020113312
117911161a015
123341b037600
13161b5c26583
149b7d241a92
15543368c9ac
hex2f44f115a0

203020113312 has 240 divisors, whose sum is σ = 613031170752. Its totient is φ = 65875783680.

The previous prime is 203020113311. The next prime is 203020113473. The reversal of 203020113312 is 213311020302.

203020113312 is a `hidden beast` number, since 20 + 302 + 0 + 11 + 331 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (203020113311) 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 39 ways as a sum of consecutive naturals, for example, 34659888 + ... + 34665744.

Almost surely, 2203020113312 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 203020113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306515585376).

203020113312 is an abundant number, since it is smaller than the sum of its proper divisors (410011057440).

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

203020113312 is a wasteful number, since it uses less digits than its factorization.

203020113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6233 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203020113312 its reverse (213311020302), we get a palindrome (416331133614).

The spelling of 203020113312 in words is "two hundred three billion, twenty million, one hundred thirteen thousand, three hundred twelve".