Search a number
-
+
203211213000 = 233531919718097
BaseRepresentation
bin1011110101000001010…
…1010000100011001000
3201102112010202012121020
42331100111100203020
511312134032304000
6233204241312440
720452522545015
oct2752025204310
9642463665536
10203211213000
11791aa483044
1233473035720
13162166b5703
149b9a78870c
155445339ba0
hex2f505508c8

203211213000 has 256 divisors, whose sum is σ = 670813228800. Its totient is φ = 51074150400.

The previous prime is 203211212999. The next prime is 203211213011. The reversal of 203211213000 is 312112302.

203211213000 is digitally balanced in base 3, 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 (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11219952 + ... + 11238048.

It is an arithmetic number, because the mean of its divisors is an integer number (2620364175).

Almost surely, 2203211213000 is an apocalyptic number.

203211213000 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 203211213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335406614400).

203211213000 is an abundant number, since it is smaller than the sum of its proper divisors (467602015800).

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

203211213000 is a wasteful number, since it uses less digits than its factorization.

203211213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18337 (or 18323 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 203211213000 its reverse (312112302), we get a palindrome (203523325302).

It can be divided in two parts, 20321 and 1213000, that added together give a palindrome (1233321).

The spelling of 203211213000 in words is "two hundred three billion, two hundred eleven million, two hundred thirteen thousand".