Search a number
-
+
201303143424 = 2103279283977
BaseRepresentation
bin1011101101111010011…
…0100011010000000000
3201020121011101020012200
42323132212203100000
511244232101042144
6232251040553200
720354323325655
oct2733646432000
9636534336180
10201303143424
1178410416139
1233020022800
1315ca12b7b66
149a591bdc2c
155382a85c69
hex2ede9a3400

201303143424 has 264 divisors, whose sum is σ = 591300677760. Its totient is φ = 65949990912.

The previous prime is 201303143351. The next prime is 201303143441. The reversal of 201303143424 is 424341303102.

201303143424 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 0 + 314 + 342 + 4 = 666.

It is a congruent number.

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, 206041624 + ... + 206042600.

Almost surely, 2201303143424 is an apocalyptic number.

201303143424 is a gapful number since it is divisible by the number (24) 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 201303143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295650338880).

201303143424 is an abundant number, since it is smaller than the sum of its proper divisors (389997534336).

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

201303143424 is a wasteful number, since it uses less digits than its factorization.

201303143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 201303143424 its reverse (424341303102), we get a palindrome (625644446526).

The spelling of 201303143424 in words is "two hundred one billion, three hundred three million, one hundred forty-three thousand, four hundred twenty-four".