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332120302101 = 3272753107261
BaseRepresentation
bin1001101010100111110…
…10011010001000010101
31011202021000221102210200
410311103322122020111
520420140244131401
6412323550411113
732665151663100
oct4652372321025
91152230842720
10332120302101
11118940285715
125444a500a99
132541b56c623
1412108ddd737
15898c510686
hex4d53e9a215

332120302101 has 18 divisors (see below), whose sum is σ = 558052481142. Its totient is φ = 189783029520.

The previous prime is 332120302079. The next prime is 332120302121. The reversal of 332120302101 is 101203021233.

332120302101 is a `hidden beast` number, since 332 + 1 + 20 + 302 + 10 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 310393836900 + 21726465201 = 557130^2 + 147399^2 .

It is not a de Polignac number, because 332120302101 - 27 = 332120301973 is a prime.

It is a super-2 number, since 2×3321203021012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332120302121) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 376553190 + ... + 376554071.

It is an arithmetic number, because the mean of its divisors is an integer number (31002915619).

Almost surely, 2332120302101 is an apocalyptic number.

It is an amenable number.

332120302101 is a deficient number, since it is larger than the sum of its proper divisors (225932179041).

332120302101 is a wasteful number, since it uses less digits than its factorization.

332120302101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753107281 (or 753107271 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 332120302101 its reverse (101203021233), we get a palindrome (433323323334).

The spelling of 332120302101 in words is "three hundred thirty-two billion, one hundred twenty million, three hundred two thousand, one hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 753107261 2259321783 5271750827 6777965349 15815252481 36902255789 47445757443 110706767367 332120302101