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331313334331 = 7263371066987
BaseRepresentation
bin1001101001000111101…
…00000100100000111011
31011200011210111020010111
410310203310010200323
520412012203144311
6412111522325151
732636152606300
oct4644364044073
91150153436114
10331313334331
11118566815901
12542641b97b7
132532031a0c5
141206db7d0a7
15894175dd21
hex4d23d0483b

331313334331 has 12 divisors (see below), whose sum is σ = 385466486808. Its totient is φ = 283937778432.

The previous prime is 331313334323. The next prime is 331313334389. The reversal of 331313334331 is 133433313133.

It is a happy number.

It is not a de Polignac number, because 331313334331 - 23 = 331313334323 is a prime.

It is a super-2 number, since 2×3313133343312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331313334293 and 331313334302.

It is not an unprimeable number, because it can be changed into a prime (331313344331) 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, 222981 + ... + 844006.

It is an arithmetic number, because the mean of its divisors is an integer number (32122207234).

Almost surely, 2331313334331 is an apocalyptic number.

331313334331 is a deficient number, since it is larger than the sum of its proper divisors (54153152477).

331313334331 is a wasteful number, since it uses less digits than its factorization.

331313334331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073338 (or 1073331 counting only the distinct ones).

The product of its digits is 26244, while the sum is 31.

Adding to 331313334331 its reverse (133433313133), we get a palindrome (464746647464).

The spelling of 331313334331 in words is "three hundred thirty-one billion, three hundred thirteen million, three hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 7 49 6337 44359 310513 1066987 7468909 52282363 6761496619 47330476333 331313334331