Search a number
-
+
201231331200 = 27325243162493
BaseRepresentation
bin1011101101101001010…
…0100110111110000000
3201020102011020210100200
42323122110212332000
511244110210044300
6232235553445200
720352462043614
oct2733224467600
9636364223320
10201231331200
1178383927599
1232bbbb70800
1315c8c463513
149a4d849344
15537b5ed200
hex2eda526f80

201231331200 has 288 divisors, whose sum is σ = 734742620040. Its totient is φ = 52413419520.

The previous prime is 201231331181. The next prime is 201231331219. The reversal of 201231331200 is 2133132102.

201231331200 is a `hidden beast` number, since 201 + 231 + 3 + 31 + 200 = 666.

201231331200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201231331181) and next prime (201231331219).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1157154 + ... + 1319646.

Almost surely, 2201231331200 is an apocalyptic number.

201231331200 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 201231331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367371310020).

201231331200 is an abundant number, since it is smaller than the sum of its proper divisors (533511288840).

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

201231331200 is a wasteful number, since it uses less digits than its factorization.

201231331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162566 (or 162546 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201231331200 its reverse (2133132102), we get a palindrome (203364463302).

The spelling of 201231331200 in words is "two hundred one billion, two hundred thirty-one million, three hundred thirty-one thousand, two hundred".