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201212313323130 = 23252698311124053
BaseRepresentation
bin101101110000000001100100…
…011101011100011001111010
3222101102201011002000210102200
4231300001210131130121322
5202333130304202320010
61551535354411211030
760245052461454024
oct5560014435343172
9871381132023380
10201212313323130
115912673230534a
121a698364746a76
1388373168c24b5
143798a2960b014
15183ded9c8bcc0
hexb7006475c67a

201212313323130 has 48 divisors (see below), whose sum is σ = 525096817731720. Its totient is φ = 53457149902464.

The previous prime is 201212313323129. The next prime is 201212313323171. The reversal of 201212313323130 is 31323313212102.

201212313323130 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 1 + 2 + 313 + 32 + 313 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70409837577249 + 130802475745881 = 8391057^2 + 11436891^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201212313323094 and 201212313323103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4155537817 + ... + 4155586236.

Almost surely, 2201212313323130 is an apocalyptic number.

201212313323130 is an abundant number, since it is smaller than the sum of its proper divisors (323884504408590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201212313323130 is a wasteful number, since it uses less digits than its factorization.

201212313323130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311124335 (or 8311124332 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 201212313323130 its reverse (31323313212102), we get a palindrome (232535626535232).

The spelling of 201212313323130 in words is "two hundred one trillion, two hundred twelve billion, three hundred thirteen million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 269 538 807 1345 1614 2421 2690 4035 4842 8070 12105 24210 8311124053 16622248106 24933372159 41555620265 49866744318 74800116477 83111240530 124666860795 149600232954 249333721590 374000582385 748001164770 2235692370257 4471384740514 6707077110771 11178461851285 13414154221542 20121231332313 22356923702570 33535385553855 40242462664626 67070771107710 100606156661565 201212313323130