Search a number
-
+
212323010200 = 23527891998563
BaseRepresentation
bin1100010110111101110…
…0000000011010011000
3202022001011012110112121
43011233130000122120
511434314142311300
6241312334551024
721224363544310
oct3055734003230
9668034173477
10212323010200
1182055893154
1235196668474
131703937a0a2
14a3c2982440
1557ca24b81a
hex316f700698

212323010200 has 192 divisors, whose sum is σ = 573445440000. Its totient is φ = 71608458240.

The previous prime is 212323010173. The next prime is 212323010203. The reversal of 212323010200 is 2010323212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212323010203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 24791119 + ... + 24799681.

It is an arithmetic number, because the mean of its divisors is an integer number (2986695000).

Almost surely, 2212323010200 is an apocalyptic number.

212323010200 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 212323010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286722720000).

212323010200 is an abundant number, since it is smaller than the sum of its proper divisors (361122429800).

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

212323010200 is a wasteful number, since it uses less digits than its factorization.

212323010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8874 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 212323010200 its reverse (2010323212), we get a palindrome (214333333412).

The spelling of 212323010200 in words is "two hundred twelve billion, three hundred twenty-three million, ten thousand, two hundred".