Search a number
-
+
102311332321 = 1122609324089
BaseRepresentation
bin101111101001000111…
…0110000100111100001
3100210002020211012010111
41133102032300213201
53134013200113241
6115000130531321
710251240655462
oct1372216604741
9323066735114
10102311332321
113a432097300
12179b3a36b41
1398566219c3
144d47ddcd69
1529dc0e8c81
hex17d23b09e1

102311332321 has 12 divisors (see below), whose sum is σ = 112501361700. Its totient is φ = 92974365440.

The previous prime is 102311332301. The next prime is 102311332327. The reversal of 102311332321 is 123233113201.

It can be written as a sum of positive squares in 2 ways, for example, as 53620496721 + 48690835600 = 231561^2 + 220660^2 .

It is not a de Polignac number, because 102311332321 - 211 = 102311330273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102311332292 and 102311332301.

It is not an unprimeable number, because it can be changed into a prime (102311332327) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 153645 + ... + 477733.

It is an arithmetic number, because the mean of its divisors is an integer number (9375113475).

Almost surely, 2102311332321 is an apocalyptic number.

102311332321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102311332321 is a deficient number, since it is larger than the sum of its proper divisors (10190029379).

102311332321 is a wasteful number, since it uses less digits than its factorization.

102311332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326720 (or 326709 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 102311332321 its reverse (123233113201), we get a palindrome (225544445522).

The spelling of 102311332321 in words is "one hundred two billion, three hundred eleven million, three hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 11 121 2609 28699 315689 324089 3564979 39214769 845548201 9301030211 102311332321