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20423445332121 = 32131011973875981
BaseRepresentation
bin1001010010011001101000…
…01101000100000010011001
32200022110111000120011001200
410221030310031010002121
510134104204001111441
6111234222401104413
74205355004660566
oct451146415040231
980273430504050
1020423445332121
1165645974a7477
12235a24a628109
13b51bcc035360
1450870011386d
152563d9c097b6
hex129334344099

20423445332121 has 48 divisors (see below), whose sum is σ = 32100654719952. Its totient is φ = 12437514432000.

The previous prime is 20423445332117. The next prime is 20423445332159. The reversal of 20423445332121 is 12123354432402.

20423445332121 is a `hidden beast` number, since 2 + 0 + 42 + 3 + 44 + 533 + 21 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 51411027600 + 20372034304521 = 226740^2 + 4513539^2 .

It is not a de Polignac number, because 20423445332121 - 22 = 20423445332117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20423445332321) 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 47 ways as a sum of consecutive naturals, for example, 22876951 + ... + 23752931.

It is an arithmetic number, because the mean of its divisors is an integer number (668763639999).

Almost surely, 220423445332121 is an apocalyptic number.

It is an amenable number.

20423445332121 is a deficient number, since it is larger than the sum of its proper divisors (11677209387831).

20423445332121 is a wasteful number, since it uses less digits than its factorization.

20423445332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878074 (or 878071 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 20423445332121 its reverse (12123354432402), we get a palindrome (32546799764523).

The spelling of 20423445332121 in words is "twenty trillion, four hundred twenty-three billion, four hundred forty-five million, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 101 117 303 909 1313 1973 3939 5919 11817 17757 25649 76947 199273 230841 597819 875981 1793457 2590549 2627943 7771647 7883829 11387753 23314941 34163259 88474081 102489777 265422243 796266729 1150163053 1728310513 3450489159 5184931539 10351467477 15554794617 22468036669 67404110007 174559361813 202212330021 523678085439 1571034256317 2269271703569 6807815110707 20423445332121