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201340232320 = 27571127139251
BaseRepresentation
bin1011101110000011010…
…0000010001010000000
3201020200202011112121111
42323200310002022000
511244321044413240
6232254443533104
720355253510603
oct2734064021200
9636622145544
10201340232320
117842a348617
123303052a194
1315ca8ba2656
149a600b633a
155385e601ea
hex2ee0d02280

201340232320 has 256 divisors, whose sum is σ = 497464934400. Its totient is φ = 77898240000.

The previous prime is 201340232281. The next prime is 201340232333. The reversal of 201340232320 is 23232043102.

It is a junction number, because it is equal to n+sod(n) for n = 201340232291 and 201340232300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802152195 + ... + 802152445.

It is an arithmetic number, because the mean of its divisors is an integer number (1943222400).

Almost surely, 2201340232320 is an apocalyptic number.

201340232320 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 201340232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248732467200).

201340232320 is an abundant number, since it is smaller than the sum of its proper divisors (296124702080).

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

201340232320 is a wasteful number, since it uses less digits than its factorization.

201340232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 201340232320 its reverse (23232043102), we get a palindrome (224572275422).

The spelling of 201340232320 in words is "two hundred one billion, three hundred forty million, two hundred thirty-two thousand, three hundred twenty".