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20321330222100 = 223521929122936057
BaseRepresentation
bin1001001111011011011011…
…01010110101010000010100
32122221200220102222002022210
410213231231222311100110
510130421041014101400
6111115253515553420
74165111335603555
oct447555552652024
978850812862283
1020321330222100
116525256152966
1223424b045b870
13b453a727732b
145037b41d232c
1525390ee70950
hex127b6dab5414

20321330222100 has 144 divisors (see below), whose sum is σ = 64025099006400. Its totient is φ = 4956781777920.

The previous prime is 20321330222009. The next prime is 20321330222111. The reversal of 20321330222100 is 122203312302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 61302729 + ... + 61633328.

It is an arithmetic number, because the mean of its divisors is an integer number (444618743100).

Almost surely, 220321330222100 is an apocalyptic number.

20321330222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20321330222100 is an abundant number, since it is smaller than the sum of its proper divisors (43703768784300).

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

20321330222100 is a wasteful number, since it uses less digits than its factorization.

20321330222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122936122 (or 122936115 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20321330222100 its reverse (122203312302), we get a palindrome (20443533534402).

The spelling of 20321330222100 in words is "twenty trillion, three hundred twenty-one billion, three hundred thirty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 29 30 38 50 57 58 60 75 76 87 95 100 114 116 145 150 174 190 228 285 290 300 348 380 435 475 551 570 580 725 870 950 1102 1140 1425 1450 1653 1740 1900 2175 2204 2755 2850 2900 3306 4350 5510 5700 6612 8265 8700 11020 13775 16530 27550 33060 41325 55100 82650 165300 122936057 245872114 368808171 491744228 614680285 737616342 1229360570 1475232684 1844040855 2335785083 2458721140 3073401425 3565145653 3688081710 4671570166 6146802850 7007355249 7130291306 7376163420 9220204275 9343140332 10695436959 11678925415 12293605700 14014710498 14260582612 17825728265 18440408550 21390873918 23357850830 28029420996 35036776245 35651456530 36880817100 42781747836 46715701660 53477184795 58394627075 67737767407 70073552490 71302913060 89128641325 106954369590 116789254150 135475534814 140147104980 175183881225 178257282650 203213302221 213908739180 233578508300 267385923975 270951069628 338688837035 350367762450 356514565300 406426604442 534771847950 677377674070 700735524900 812853208884 1016066511105 1069543695900 1354755348140 1693444185175 2032133022210 3386888370350 4064266044420 5080332555525 6773776740700 10160665111050 20321330222100