Search a number
-
+
203350030400 = 26521131372709
BaseRepresentation
bin1011110101100010011…
…0110011100001000000
3201102212210221212021102
42331120212303201000
511312430101433100
6233230120513532
720456126511326
oct2753046634100
9642783855242
10203350030400
1179270877670
12334b161b8a8
131623939a69a
149bb0da1d16
15545260acd5
hex2f589b3840

203350030400 has 168 divisors, whose sum is σ = 563465959680. Its totient is φ = 71559936000.

The previous prime is 203350030267. The next prime is 203350030441. The reversal of 203350030400 is 4030053302.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 359246 + ... + 731954.

Almost surely, 2203350030400 is an apocalyptic number.

203350030400 is a gapful number since it is divisible by the number (20) 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 203350030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281732979840).

203350030400 is an abundant number, since it is smaller than the sum of its proper divisors (360115929280).

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

203350030400 is a wasteful number, since it uses less digits than its factorization.

203350030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372773 (or 372758 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

Adding to 203350030400 its reverse (4030053302), we get a palindrome (207380083702).

The spelling of 203350030400 in words is "two hundred three billion, three hundred fifty million, thirty thousand, four hundred".