Search a number
-
+
102221010112 = 2613223537753
BaseRepresentation
bin101111100110011011…
…0001101010011000000
3100202211221212100100111
41133030312031103000
53133322034310422
6114543143001104
710246063151434
oct1371466152300
9322757770314
10102221010112
113a396105951
1217989739194
1398409b9200
144d3a00a9c4
1529d4206a77
hex17ccd8d4c0

102221010112 has 168 divisors, whose sum is σ = 233553085344. Its totient is φ = 44270493696.

The previous prime is 102221010091. The next prime is 102221010137. The reversal of 102221010112 is 211010122201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 102221010092 and 102221010101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13180828 + ... + 13188580.

Almost surely, 2102221010112 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 102221010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116776542672).

102221010112 is an abundant number, since it is smaller than the sum of its proper divisors (131332075232).

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

102221010112 is a wasteful number, since it uses less digits than its factorization.

102221010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7867 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102221010112 its reverse (211010122201), we get a palindrome (313231132313).

The spelling of 102221010112 in words is "one hundred two billion, two hundred twenty-one million, ten thousand, one hundred twelve".