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20020221022221 = 32721013181141301
BaseRepresentation
bin1001000110101010100100…
…01010011001000000001101
32121212220200121212212101200
410203111102022121000031
510111002403040202341
6110325055040500113
74134261511620300
oct443252212310015
977786617785350
1020020221022221
116419589928352
1222b407761a639
13b22b8b6c6444
144d2daba38b37
1524ab8a20edb6
hex12355229900d

20020221022221 has 72 divisors (see below), whose sum is σ = 33983402865048. Its totient is φ = 11323216800000.

The previous prime is 20020221022099. The next prime is 20020221022259. The reversal of 20020221022221 is 12222012202002.

20020221022221 is a `hidden beast` number, since 200 + 2 + 0 + 221 + 0 + 22 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9399068324100 + 10621152698121 = 3065790^2 + 3259011^2 .

It is not a de Polignac number, because 20020221022221 - 29 = 20020221021709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20020221022194 and 20020221022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020271022221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141614271 + ... + 141755571.

It is an arithmetic number, because the mean of its divisors is an integer number (471991706459).

Almost surely, 220020221022221 is an apocalyptic number.

20020221022221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20020221022221 is a deficient number, since it is larger than the sum of its proper divisors (13963181842827).

20020221022221 is a wasteful number, since it uses less digits than its factorization.

20020221022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144603 (or 144593 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20020221022221 its reverse (12222012202002), we get a palindrome (32242233224223).

The spelling of 20020221022221 in words is "twenty trillion, twenty billion, two hundred twenty-one million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 101 147 303 441 707 909 2121 3181 4949 6363 9543 14847 22267 28629 44541 66801 141301 155869 200403 321281 423903 467607 963843 989107 1271709 1402821 2248967 2891529 2967321 6746901 6923749 8901963 14271401 15742769 20240703 20771247 42814203 47228307 62313741 99899807 128442609 141684921 299699421 449478481 699298649 899098263 1348435443 2097895947 3146349367 4045306329 6293687841 9439048101 22024445569 28317144303 45397326581 66073336707 136191979743 198220010121 317781286067 408575939229 953343858201 2224469002469 2860031574603 6673407007407 20020221022221