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11313012321 = 32131797191307
BaseRepresentation
bin10101000100100111…
…01101111001100001
31002012102102120102100
422202103231321201
5141132112343241
65110325041013
7550230006132
oct124223557141
932172376370
1011313012321
11488599a666
122238856169
1310b3a30140
147946adc89
154632bd9b6
hex2a24ede61

11313012321 has 96 divisors (see below), whose sum is σ = 18985494528. Its totient is φ = 6429818880.

The previous prime is 11313012307. The next prime is 11313012329. The reversal of 11313012321 is 12321031311.

11313012321 is a `hidden beast` number, since 1 + 131 + 301 + 232 + 1 = 666.

11313012321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11313012321 - 26 = 11313012257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11313012294 and 11313012303.

It is not an unprimeable number, because it can be changed into a prime (11313012329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36850050 + ... + 36850356.

It is an arithmetic number, because the mean of its divisors is an integer number (197765568).

Almost surely, 211313012321 is an apocalyptic number.

It is an amenable number.

11313012321 is a deficient number, since it is larger than the sum of its proper divisors (7672482207).

11313012321 is a wasteful number, since it uses less digits than its factorization.

11313012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 628 counting only the distinct ones).

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

Adding to 11313012321 its reverse (12321031311), we get a palindrome (23634043632).

The spelling of 11313012321 in words is "eleven billion, three hundred thirteen million, twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 13 17 39 51 97 117 153 191 221 291 307 573 663 873 921 1261 1649 1719 1989 2483 2763 3247 3783 3991 4947 5219 7449 9741 11349 11973 14841 15657 18527 21437 22347 29223 29779 35919 42211 46971 55581 58637 64311 67847 89337 126633 166743 175911 192933 203541 240851 268011 314959 379899 387127 506243 527733 610623 722553 762281 944877 996829 1161381 1518729 2167659 2286843 2834631 2990487 3484143 4094467 4556187 5687789 6581159 6860529 8971461 12283401 12958777 17063367 19743477 36850203 38876331 51190101 59230431 73941257 96692413 116628993 221823771 290077239 665471313 870231717 1257001369 3771004107 11313012321