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322322012134420 = 225197355722999049
BaseRepresentation
bin100100101001001100111000…
…1000010010101110000010100
31120021020200110012220020222211
41021102121301002111300110
5314221410440101300140
63101304404353003204
7124614665636140414
oct11122316102256024
91507220405806884
10322322012134420
1193779aa7a28a71
12301981b9853504
1310ab0ab228ba0c
14598467bca4644
15273e5065aa2ea
hex1252671095c14

322322012134420 has 48 divisors (see below), whose sum is σ = 680503435088400. Its totient is φ = 128238275830784.

The previous prime is 322322012134417. The next prime is 322322012134453. The reversal of 322322012134420 is 24431210223223.

It can be written as a sum of positive squares in 8 ways, for example, as 32211118634256 + 290110893500164 = 5675484^2 + 17032642^2 .

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 15 ways as a sum of consecutive naturals, for example, 2515056 + ... + 25514104.

It is an arithmetic number, because the mean of its divisors is an integer number (14177154897675).

Almost surely, 2322322012134420 is an apocalyptic number.

It is an amenable number.

322322012134420 is an abundant number, since it is smaller than the sum of its proper divisors (358181422953980).

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

322322012134420 is a wasteful number, since it uses less digits than its factorization.

322322012134420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23002812 (or 23002810 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 322322012134420 its reverse (24431210223223), we get a palindrome (346753222357643).

The spelling of 322322012134420 in words is "three hundred twenty-two trillion, three hundred twenty-two billion, twelve million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3557 3940 7114 14228 17785 35570 71140 700729 1401458 2802916 3503645 7007290 14014580 22999049 45998098 91996196 114995245 229990490 459980980 4530812653 9061625306 18123250612 22654063265 45308126530 81807617293 90616253060 163615234586 327230469172 409038086465 818076172930 1636152345860 16116100606721 32232201213442 64464402426884 80580503033605 161161006067210 322322012134420