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203212312202133 = 321343393831025621
BaseRepresentation
bin101110001101001000001101…
…101011101100101110010101
3222122111220111102202200200100
4232031020031223230232111
5203113412303410432013
62000110240352204313
760542414351442633
oct5615101553545625
9878456442680610
10203212312202133
115982794855a993
121a95baa8239699
138950ab9b53550
143827757c88353
151876042ae7473
hexb8d20daecb95

203212312202133 has 48 divisors (see below), whose sum is σ = 323467919558784. Its totient is φ = 122142283724160.

The previous prime is 203212312202089. The next prime is 203212312202173. The reversal of 203212312202133 is 331202213212302.

203212312202133 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 12 + 312 + 202 + 133 = 666.

It is not a de Polignac number, because 203212312202133 - 210 = 203212312201109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 203212312202097 and 203212312202106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203212312202173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197623063 + ... + 198648683.

It is an arithmetic number, because the mean of its divisors is an integer number (6738914990808).

Almost surely, 2203212312202133 is an apocalyptic number.

It is an amenable number.

203212312202133 is a deficient number, since it is larger than the sum of its proper divisors (120255607356651).

203212312202133 is a wasteful number, since it uses less digits than its factorization.

203212312202133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065066 (or 1065063 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 203212312202133 its reverse (331202213212302), we get a palindrome (534414525414435).

The spelling of 203212312202133 in words is "two hundred three trillion, two hundred twelve billion, three hundred twelve million, two hundred two thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 43 117 129 387 559 1677 5031 39383 118149 354447 511979 1025621 1535937 1693469 3076863 4607811 5080407 9230589 13333073 15241221 22015097 39999219 44101703 66045291 119997657 132305109 198135873 396915327 573322139 1719966417 5159899251 40392031843 121176095529 363528286587 525096413959 1575289241877 1736857369249 4725867725631 5210572107747 15631716323241 22579145800237 67737437400711 203212312202133