Search a number
-
+
201003522240 = 263559260149
BaseRepresentation
bin1011101100110010111…
…1100101100011000000
3201012211021120220012210
42323030233211203000
511243123400202430
6232201215022120
720344024514553
oct2731457454300
9635737526183
10201003522240
1178277280324
1232b5780a940
1315c541c0611
149a2b4a869a
1553665ee2b0
hex2eccbe58c0

201003522240 has 168 divisors, whose sum is σ = 649197025200. Its totient is φ = 52691572736.

The previous prime is 201003522233. The next prime is 201003522241. The reversal of 201003522240 is 42225300102.

201003522240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201003522241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3311686 + ... + 3371834.

Almost surely, 2201003522240 is an apocalyptic number.

201003522240 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 201003522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324598512600).

201003522240 is an abundant number, since it is smaller than the sum of its proper divisors (448193502960).

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

201003522240 is an equidigital number, since it uses as much as digits as its factorization.

201003522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60287 (or 60218 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 201003522240 its reverse (42225300102), we get a palindrome (243228822342).

The spelling of 201003522240 in words is "two hundred one billion, three million, five hundred twenty-two thousand, two hundred forty".