Search a number
-
+
203002321200 = 24352791926297
BaseRepresentation
bin1011110100001111100…
…0011001100100110000
3201101222120200101220220
42331003320121210300
511311222043234300
6233131420133040
720444405155020
oct2750370314460
9641876611826
10203002321200
1179102577598
1233415097180
13161b23370b3
149b7ab2da80
155431d25da0
hex2f43e19930

203002321200 has 240 divisors, whose sum is σ = 744018808320. Its totient is φ = 46348277760.

The previous prime is 203002321169. The next prime is 203002321213. The reversal of 203002321200 is 2123200302.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 203002321200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7706452 + ... + 7732748.

It is an arithmetic number, because the mean of its divisors is an integer number (3100078368).

Almost surely, 2203002321200 is an apocalyptic number.

203002321200 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 203002321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372009404160).

203002321200 is an abundant number, since it is smaller than the sum of its proper divisors (541016487120).

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

203002321200 is a wasteful number, since it uses less digits than its factorization.

203002321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27244 (or 27233 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 203002321200 its reverse (2123200302), we get a palindrome (205125521502).

The spelling of 203002321200 in words is "two hundred three billion, two million, three hundred twenty-one thousand, two hundred".