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20221321331232 = 2532721432916761
BaseRepresentation
bin1001001100100001001001…
…01011001100001000100000
32122121010202122121001002200
410212100210223030020200
510122301231230044412
6111001314034213200
74154641123215300
oct446204453141040
978533678531080
1020221321331232
1164968a57a4a3a
12232703b724200
13b38b29973b28
144dca07cd9600
1525100a07b9dc
hex126424acc220

20221321331232 has 108 divisors (see below), whose sum is σ = 66892853200446. Its totient is φ = 5777520376320.

The previous prime is 20221321331231. The next prime is 20221321331261. The reversal of 20221321331232 is 23213312312202.

20221321331232 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 1 + 321 + 331 + 2 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18910287171216 + 1311034160016 = 4348596^2 + 1145004^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20221321331196 and 20221321331205.

It is not an unprimeable number, because it can be changed into a prime (20221321331231) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 716444269 + ... + 716472492.

Almost surely, 220221321331232 is an apocalyptic number.

It is an amenable number.

20221321331232 is an abundant number, since it is smaller than the sum of its proper divisors (46671531869214).

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

20221321331232 is a wasteful number, since it uses less digits than its factorization.

20221321331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432916791 (or 1432916773 counting only the distinct ones).

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

Adding to 20221321331232 its reverse (23213312312202), we get a palindrome (43434633643434).

The spelling of 20221321331232 in words is "twenty trillion, two hundred twenty-one billion, three hundred twenty-one million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 1432916761 2865833522 4298750283 5731667044 8597500566 10030417327 11463334088 12896250849 17195001132 20060834654 22926668176 25792501698 30091251981 34390002264 40121669308 45853336352 51585003396 60182503962 68780004528 70212921289 80243338616 90273755943 103170006792 120365007924 137560009056 140425842578 160486677232 180547511886 206340013584 210638763867 240730015848 280851685156 320973354464 361095023772 412680027168 421277527734 481460031696 561703370312 631916291601 722190047544 842555055468 962920063392 1123406740624 1263832583202 1444380095088 1685110110936 2246813481248 2527665166404 2888760190176 3370220221872 5055330332808 6740440443744 10110660665616 20221321331232