Search a number
-
+
322322003223132 = 2231112721139099401
BaseRepresentation
bin100100101001001100111000…
…0100000010110001001011100
31120021020200102121010112000010
41021102121300200112021130
5314221410430311120012
63101304403434003220
7124614665500324113
oct11122316040261134
91507220377115003
10322322003223132
1193779aa29a1870
12301981b6876510
1310ab0ab048b873
14598467aa24c7a
15273e5058e9c3c
hex125267081625c

322322003223132 has 96 divisors (see below), whose sum is σ = 827307729690624. Its totient is φ = 96858381312000.

The previous prime is 322322003223089. The next prime is 322322003223167. The reversal of 322322003223132 is 231322300223223.

It is a self number, because there is not a number n which added to its sum of digits gives 322322003223132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30872632 + ... + 39972032.

It is an arithmetic number, because the mean of its divisors is an integer number (8617788850944).

Almost surely, 2322322003223132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322322003223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413653864845312).

322322003223132 is an abundant number, since it is smaller than the sum of its proper divisors (504985726467492).

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

322322003223132 is a wasteful number, since it uses less digits than its factorization.

322322003223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101659 (or 9101657 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 322322003223132 its reverse (231322300223223), we get a palindrome (553644303446355).

The spelling of 322322003223132 in words is "three hundred twenty-two trillion, three hundred twenty-two billion, three million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 381 508 762 1397 1524 2113 2794 4191 4226 5588 6339 8382 8452 12678 16764 23243 25356 46486 69729 92972 139458 268351 278916 536702 805053 1073404 1610106 2951861 3220212 5903722 8855583 9099401 11807444 17711166 18198802 27298203 35422332 36397604 54596406 100093411 109192812 200186822 300280233 400373644 600560466 1155623927 1201120932 2311247854 3466871781 4622495708 6933743562 12711863197 13867487124 19227034313 25423726394 38135589591 38454068626 50847452788 57681102939 76271179182 76908137252 115362205878 152542358364 211497377443 230724411756 422994754886 634492132329 845989509772 1268984264658 2441833357751 2537968529316 4883666715502 7325500073253 9767333431004 14651000146506 26860166935261 29302000293012 53720333870522 80580500805783 107440667741044 161161001611566 322322003223132