Search a number
-
+
2311023320320 = 2851113137157587
BaseRepresentation
bin100001101000010011101…
…110010101110100000000
322011221011012002120102011
4201220103232111310000
5300330433432222240
64525400334102304
7325652212051501
oct41502356256400
98157135076364
102311023320320
11811110463870
12313a8504a994
13139c0c094110
147dbd5a12ba8
15401ad2d56ea
hex21a13b95d00

2311023320320 has 576 divisors, whose sum is σ = 6603815506176. Its totient is φ = 763857469440.

The previous prime is 2311023320311. The next prime is 2311023320341. The reversal of 2311023320320 is 230233201132.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2311023320291 and 2311023320300.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3937007067 + ... + 3937007653.

It is an arithmetic number, because the mean of its divisors is an integer number (11464957476).

Almost surely, 22311023320320 is an apocalyptic number.

2311023320320 is a gapful number since it is divisible by the number (20) 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 2311023320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301907753088).

2311023320320 is an abundant number, since it is smaller than the sum of its proper divisors (4292792185856).

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

2311023320320 is a wasteful number, since it uses less digits than its factorization.

2311023320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2311023320320 its reverse (230233201132), we get a palindrome (2541256521452).

The spelling of 2311023320320 in words is "two trillion, three hundred eleven billion, twenty-three million, three hundred twenty thousand, three hundred twenty".