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203303211313131 = 3418113866940271
BaseRepresentation
bin101110001110011100110111…
…101100010010011111101011
3222122211121010100110222020000
4232032130313230102133223
5203121404434044010011
62000220112251434043
760552113046233226
oct5616346754223753
9878747110428200
10203303211313131
1159862453756416
121a975636155923
13895954501a667
14382bcdc3505bd
1518785b2d77356
hexb8e737b127eb

203303211313131 has 20 divisors (see below), whose sum is σ = 305377758669984. Its totient is φ = 134786659424400.

The previous prime is 203303211313087. The next prime is 203303211313151. The reversal of 203303211313131 is 131313112303302.

203303211313131 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 0 + 3 + 211 + 313 + 131 = 666.

It is not a de Polignac number, because 203303211313131 - 225 = 203303177758699 is a prime.

It is a super-2 number, since 2×2033032113131312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 203303211313095 and 203303211313104.

It is not an unprimeable number, because it can be changed into a prime (203303211313151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6933455475 + ... + 6933484796.

Almost surely, 2203303211313131 is an apocalyptic number.

203303211313131 is a deficient number, since it is larger than the sum of its proper divisors (102074547356853).

203303211313131 is a wasteful number, since it uses less digits than its factorization.

203303211313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13866940464 (or 13866940455 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 203303211313131 its reverse (131313112303302), we get a palindrome (334616323616433).

The spelling of 203303211313131 in words is "two hundred three trillion, three hundred three billion, two hundred eleven million, three hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 27 81 181 543 1629 4887 14661 13866940271 41600820813 124802462439 374407387317 1123222161951 2509916189051 7529748567153 22589245701459 67767737104377 203303211313131