Search a number
-
+
213414334423110 = 23251719101223325951
BaseRepresentation
bin110000100001100101100101…
…100101111110000001000110
31000222122012200220110002200100
4300201211211211332001012
5210433040024103014420
62033521105230424530
762644451104505232
oct6041454545760106
91028565626402610
10213414334423110
1162000569099707
121bb29164962146
139210b682555a2
143a9b4478995c2
1519a15e37b1190
hexc2196597e046

213414334423110 has 384 divisors, whose sum is σ = 627364873175040. Its totient is φ = 50015854080000.

The previous prime is 213414334423057. The next prime is 213414334423183. The reversal of 213414334423110 is 11324433414312.

213414334423110 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 1 + 4 + 334 + 4 + 2 + 311 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 654580635 + ... + 654906585.

It is an arithmetic number, because the mean of its divisors is an integer number (1633762690560).

Almost surely, 2213414334423110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213414334423110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313682436587520).

213414334423110 is an abundant number, since it is smaller than the sum of its proper divisors (413950538751930).

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

213414334423110 is a wasteful number, since it uses less digits than its factorization.

213414334423110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326324 (or 326321 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 213414334423110 its reverse (11324433414312), we get a palindrome (224738767837422).

The spelling of 213414334423110 in words is "two hundred thirteen trillion, four hundred fourteen billion, three hundred thirty-four million, four hundred twenty-three thousand, one hundred ten".