Search a number
-
+
11323322010000 = 24325471113374379
BaseRepresentation
bin1010010011000110101010…
…0101100000100110010000
31111002111110210001120022200
42210301222211200212100
52441010130413310000
640025510132203200
72246040322005150
oct244615245404620
944074423046280
1011323322010000
113676215092540
12132a651769500
13641a27c47b80
142b20a1c68760
1514982b583500
hexa4c6a960990

11323322010000 has 4800 divisors, whose sum is σ = 56582431825920. Its totient is φ = 2037934080000.

The previous prime is 11323322009917. The next prime is 11323322010019. The reversal of 11323322010000 is 1022332311.

11323322010000 is a `hidden beast` number, since 1 + 132 + 332 + 201 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 959 ways as a sum of consecutive naturals, for example, 143333189961 + ... + 143333190039.

Almost surely, 211323322010000 is an apocalyptic number.

11323322010000 is a gapful number since it is divisible by the number (10) 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 11323322010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28291215912960).

11323322010000 is an abundant number, since it is smaller than the sum of its proper divisors (45259109815920).

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

11323322010000 is a wasteful number, since it uses less digits than its factorization.

11323322010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11323322010000 its reverse (1022332311), we get a palindrome (11324344342311).

The spelling of 11323322010000 in words is "eleven trillion, three hundred twenty-three billion, three hundred twenty-two million, ten thousand".