Search a number
-
+
313201020231 = 32116747218607
BaseRepresentation
bin1001000111011000011…
…11000100110101000111
31002221102111222100010100
410203230033010311013
520112413430121411
6355514344455143
731425261513651
oct4435417046507
91087374870110
10313201020231
111109118a1180
125084a47a4b3
13236c4a54098
14112324776d1
1582315bc456
hex48ec3c4d47

313201020231 has 24 divisors (see below), whose sum is σ = 500894993664. Its totient is φ = 186985679760.

The previous prime is 313201020151. The next prime is 313201020247. The reversal of 313201020231 is 132020102313.

313201020231 is a `hidden beast` number, since 313 + 20 + 102 + 0 + 231 = 666.

It is not a de Polignac number, because 313201020231 - 211 = 313201018183 is a prime.

It is a super-2 number, since 2×3132010202312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313201020131) 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 23 ways as a sum of consecutive naturals, for example, 23602671 + ... + 23615936.

It is an arithmetic number, because the mean of its divisors is an integer number (20870624736).

Almost surely, 2313201020231 is an apocalyptic number.

313201020231 is a deficient number, since it is larger than the sum of its proper divisors (187693973433).

313201020231 is a wasteful number, since it uses less digits than its factorization.

313201020231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47218691 (or 47218688 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313201020231 its reverse (132020102313), we get a palindrome (445221122544).

The spelling of 313201020231 in words is "three hundred thirteen billion, two hundred one million, twenty thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 67 99 201 603 737 2211 6633 47218607 141655821 424967463 519404677 1558214031 3163646669 4674642093 9490940007 28472820021 34800113359 104400340077 313201020231