Search a number
-
+
324323122312101 = 311269359782313009
BaseRepresentation
bin100100110111110000101110…
…0011111110111001110100101
31120112022222200000201222102210
41021233201130133313032211
5320002202223302441401
63105435552512554033
7125212400212041213
oct11157413437671645
91515288600658383
10324323122312101
1194380733505770
123045bbb1552919
1310bc7701828453
145a13473d81cb3
1527765c6c7e4d6
hex126f85c7f73a5

324323122312101 has 64 divisors (see below), whose sum is σ = 474912543744000. Its totient is φ = 195243307514880.

The previous prime is 324323122312093. The next prime is 324323122312109. The reversal of 324323122312101 is 101213221323423.

It is an interprime number because it is at equal distance from previous prime (324323122312093) and next prime (324323122312109).

It is not a de Polignac number, because 324323122312101 - 23 = 324323122312093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324323122312109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24930666285 + ... + 24930679293.

It is an arithmetic number, because the mean of its divisors is an integer number (7420508496000).

Almost surely, 2324323122312101 is an apocalyptic number.

It is an amenable number.

324323122312101 is a deficient number, since it is larger than the sum of its proper divisors (150589421431899).

324323122312101 is a wasteful number, since it uses less digits than its factorization.

324323122312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21474.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 324323122312101 its reverse (101213221323423), we get a palindrome (425536343635524).

The spelling of 324323122312101 in words is "three hundred twenty-four trillion, three hundred twenty-three billion, one hundred twenty-two million, three hundred twelve thousand, one hundred one".

Divisors: 1 3 11 33 269 359 807 1077 2959 3949 7823 8877 11847 13009 23469 39027 86053 96571 143099 258159 289713 429297 1062281 2104387 2808457 3186843 3499421 4670231 6313161 8425371 10498263 14010693 23148257 30893027 38493631 51372541 69444771 92679081 101769407 115480893 154117623 305308221 755474933 1119463477 1256292139 2266424799 3358390431 3768876417 8310224263 13819213529 24930672789 27375970483 36535217113 41457640587 82127911449 109605651339 301135675313 401887388243 903407025939 1205662164729 9827973403397 29483920210191 108107707437367 324323122312101