Search a number
-
+
102414424112 = 247211131948079
BaseRepresentation
bin101111101100001100…
…0000001100000110000
3100210100102210210110222
41133120120001200300
53134221043032422
6115014252312212
710253632145600
oct1373030014060
9323312723428
10102414424112
113a4852aa730
1217a22472668
139871aa8870
144d57996c00
1529e61ae842
hex17d8601830

102414424112 has 240 divisors, whose sum is σ = 285456729600. Its totient is φ = 34893089280.

The previous prime is 102414424051. The next prime is 102414424247. The reversal of 102414424112 is 211424414201.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2106089 + ... + 2154167.

It is an arithmetic number, because the mean of its divisors is an integer number (1189403040).

Almost surely, 2102414424112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102414424112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142728364800).

102414424112 is an abundant number, since it is smaller than the sum of its proper divisors (183042305488).

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

102414424112 is a wasteful number, since it uses less digits than its factorization.

102414424112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48144 (or 48131 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 102414424112 its reverse (211424414201), we get a palindrome (313838838313).

The spelling of 102414424112 in words is "one hundred two billion, four hundred fourteen million, four hundred twenty-four thousand, one hundred twelve".