Search a number
-
+
311303322020 = 2254379109127331
BaseRepresentation
bin1001000011110110001…
…11111011100110100100
31002202112021010021120102
410201323013323212210
520100022122301040
6355002154323232
731330246402055
oct4417307734644
91082467107512
10311303322020
11110028678449
12503baa29518
1323481848132
14110d240c72c
15816ebb6515
hex487b1fb9a4

311303322020 has 192 divisors, whose sum is σ = 691086950400. Its totient is φ = 117690693120.

The previous prime is 311303322007. The next prime is 311303322067. The reversal of 311303322020 is 20223303113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 311303321983 and 311303322001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 940493255 + ... + 940493585.

It is an arithmetic number, because the mean of its divisors is an integer number (3599411200).

Almost surely, 2311303322020 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 311303322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345543475200).

311303322020 is an abundant number, since it is smaller than the sum of its proper divisors (379783628380).

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

311303322020 is a wasteful number, since it uses less digits than its factorization.

311303322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 311303322020 its reverse (20223303113), we get a palindrome (331526625133).

The spelling of 311303322020 in words is "three hundred eleven billion, three hundred three million, three hundred twenty-two thousand, twenty".