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213324103020321 = 32313911112374021
BaseRepresentation
bin110000100000010001100011…
…011000011110111100100001
31000222022120210112010220121100
4300200101203120132330201
5210430100230333122241
62033411423502345013
762635105065314046
oct6040214330367441
91028276715126540
10213324103020321
1161a76275897247
121bb1378258b169
1392054b85026a7
143a96d27d631cd
15199e0b1e759b6
hexc2046361ef21

213324103020321 has 48 divisors (see below), whose sum is σ = 309738338986752. Its totient is φ = 141478085548800.

The previous prime is 213324103020307. The next prime is 213324103020323. The reversal of 213324103020321 is 123020301423312.

213324103020321 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 24 + 10 + 302 + 0 + 321 = 666.

It is not a de Polignac number, because 213324103020321 - 215 = 213324102987553 is a prime.

It is a super-3 number, since 3×2133241030203213 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (213324103020323) 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, 2881903291 + ... + 2881977311.

It is an arithmetic number, because the mean of its divisors is an integer number (6452882062224).

Almost surely, 2213324103020321 is an apocalyptic number.

It is an amenable number.

213324103020321 is a deficient number, since it is larger than the sum of its proper divisors (96414235966431).

213324103020321 is a wasteful number, since it uses less digits than its factorization.

213324103020321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76374 (or 76371 counting only the distinct ones).

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

Adding to 213324103020321 its reverse (123020301423312), we get a palindrome (336344404443633).

The spelling of 213324103020321 in words is "two hundred thirteen trillion, three hundred twenty-four billion, one hundred three million, twenty thousand, three hundred twenty-one".

Divisors: 1 3 9 313 911 939 1123 2733 2817 3369 8199 10107 74021 222063 285143 351499 666189 855429 1023053 1054497 2566287 3069159 3163491 9207477 23168573 67433131 69505719 83125583 202299393 208517157 249376749 320215589 606898179 748130247 960646767 2881940301 21106570003 26018307479 63319710009 75727406113 78054922437 189959130027 227182218339 234164767311 681546655017 23702678113369 71108034340107 213324103020321