Search a number
-
+
313311020211 = 327101317592791
BaseRepresentation
bin1001000111100101100…
…10101100010010110011
31002221201011221220201200
410203302302230102303
520113130110121321
6355533314302243
731431065505420
oct4436262542263
91087634856650
10313311020211
111109689a2852
125087b287983
1323711789427
1411242d0cd47
15823b099d26
hex48f2cac4b3

313311020211 has 48 divisors (see below), whose sum is σ = 518202347520. Its totient is φ = 178692402240.

The previous prime is 313311020179. The next prime is 313311020249. The reversal of 313311020211 is 112020113313.

313311020211 is a `hidden beast` number, since 313 + 311 + 0 + 20 + 21 + 1 = 666.

It is not a de Polignac number, because 313311020211 - 25 = 313311020179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313311020291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112256226 + ... + 112259016.

It is an arithmetic number, because the mean of its divisors is an integer number (10795882240).

Almost surely, 2313311020211 is an apocalyptic number.

313311020211 is a deficient number, since it is larger than the sum of its proper divisors (204891327309).

313311020211 is a wasteful number, since it uses less digits than its factorization.

313311020211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313311020211 its reverse (112020113313), we get a palindrome (425331133524).

The spelling of 313311020211 in words is "three hundred thirteen billion, three hundred eleven million, twenty thousand, two hundred eleven".

Divisors: 1 3 7 9 21 63 1013 1759 2791 3039 5277 7091 8373 9117 12313 15831 19537 21273 25119 36939 58611 63819 110817 175833 1781867 2827283 4909369 5345601 8481849 12473069 14728107 16036803 19790981 25445547 34365583 37419207 44184321 59372943 103096749 112257621 178118829 309290247 4973190797 14919572391 34812335579 44758717173 104437006737 313311020211