Search a number
-
+
311311221331 = 1123087183341
BaseRepresentation
bin1001000011110111001…
…10000100001001010011
31002202112210222121101111
410201323212010021103
520100031133040311
6355003035514151
731330403502115
oct4417346041123
91082483877344
10311311221331
11110032083300
12504015b8957
1323483382796
14110d34a73b5
158170726d21
hex487b984253

311311221331 has 12 divisors (see below), whose sum is σ = 342200251792. Its totient is φ = 282997638000.

The previous prime is 311311221323. The next prime is 311311221349. The reversal of 311311221331 is 133122113113.

It is not a de Polignac number, because 311311221331 - 23 = 311311221323 is a prime.

It is a super-2 number, since 2×3113112213312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311311221301) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3693721 + ... + 3777061.

Almost surely, 2311311221331 is an apocalyptic number.

311311221331 is a deficient number, since it is larger than the sum of its proper divisors (30889030461).

311311221331 is a wasteful number, since it uses less digits than its factorization.

311311221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114234 (or 114223 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

Adding to 311311221331 its reverse (133122113113), we get a palindrome (444433334444).

The spelling of 311311221331 in words is "three hundred eleven billion, three hundred eleven million, two hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 11 121 30871 83341 339581 916751 3735391 10084261 2572820011 28301020121 311311221331