Search a number
-
+
321220121022093 = 33761463102463441
BaseRepresentation
bin100100100001001011110001…
…1001101010100111010001101
31120010100100021112101000211210
41021002113203031110322031
5314100332301440201333
63055102253022205033
7124442250022211016
oct11102274315247215
91503310245330753
10321220121022093
1193394763142327
123003a740723779
1310a30c09772387
1459471cb5a800d
152720a14aa4a63
hex12425e3354e8d

321220121022093 has 32 divisors (see below), whose sum is σ = 448045581517312. Its totient is φ = 204500632089600.

The previous prime is 321220121022037. The next prime is 321220121022169. The reversal of 321220121022093 is 390220121022123.

It is not a de Polignac number, because 321220121022093 - 26 = 321220121022029 is a prime.

It is a super-2 number, since 2×3212201210220932 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 321220121022093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321220121022793) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 48096748 + ... + 54366693.

It is an arithmetic number, because the mean of its divisors is an integer number (14001424422416).

Almost surely, 2321220121022093 is an apocalyptic number.

It is an amenable number.

321220121022093 is a deficient number, since it is larger than the sum of its proper divisors (126825460495219).

321220121022093 is a wasteful number, since it uses less digits than its factorization.

321220121022093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102464005.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 321220121022093 its sum of digits (30), we get a palindrome (321220121022123).

The spelling of 321220121022093 in words is "three hundred twenty-one trillion, two hundred twenty billion, one hundred twenty-one million, twenty-two thousand, ninety-three".

Divisors: 1 3 37 61 111 183 463 1389 2257 6771 17131 28243 51393 84729 1044991 3134973 102463441 307390323 3791147317 6250269901 11373441951 18750809703 47440573183 142321719549 231259986337 693779959011 1755301207771 2893874964163 5265903623313 8681624892489 107073373674031 321220121022093