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321202130013 = 323741791931543
BaseRepresentation
bin1001010110010010010…
…00111000110001011101
31010201002010110211100200
410223021020320301131
520230310221130023
6403320324214113
732130455025432
oct4531110706135
91121063424320
10321202130013
111142482573a6
1252301b3a339
132439b59537b
1411790d4db89
15854dc36743
hex4ac9238c5d

321202130013 has 96 divisors (see below), whose sum is σ = 497181834240. Its totient is φ = 199523450880.

The previous prime is 321202129973. The next prime is 321202130059. The reversal of 321202130013 is 310031202123.

321202130013 is a `hidden beast` number, since 321 + 20 + 21 + 300 + 1 + 3 = 666.

It is not a de Polignac number, because 321202130013 - 28 = 321202129757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321202130083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208166520 + ... + 208168062.

It is an arithmetic number, because the mean of its divisors is an integer number (5178977440).

Almost surely, 2321202130013 is an apocalyptic number.

It is an amenable number.

321202130013 is a deficient number, since it is larger than the sum of its proper divisors (175979704227).

321202130013 is a wasteful number, since it uses less digits than its factorization.

321202130013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1896 counting only the distinct ones).

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

Adding to 321202130013 its reverse (310031202123), we get a palindrome (631233332136).

The spelling of 321202130013 in words is "three hundred twenty-one billion, two hundred two million, one hundred thirty thousand, thirteen".

Divisors: 1 3 9 37 41 79 111 123 193 237 333 369 579 711 1517 1543 1737 2923 3239 4551 4629 7141 7913 8769 9717 13653 13887 15247 21423 23739 26307 29151 45741 57091 63263 64269 71217 119843 121897 137223 171273 189789 292781 297799 359529 365691 513819 564139 569367 625127 878343 893397 1078587 1097073 1692417 1875381 2340731 2635029 2680191 4510189 4997777 5077251 5626143 7022193 11018563 12209759 13530567 14993331 21066579 23129699 23526121 33055689 36629277 40591701 44979993 69389097 70578363 99167067 109887831 184917749 208167291 211735089 451761083 554753247 870466477 964570961 1355283249 1664259741 2611399431 2893712883 4065849747 7834198293 8681138649 35689125557 107067376671 321202130013