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330323320310221 = 7210976145207157
BaseRepresentation
bin100101100011011010110010…
…0001010110000100111001101
31121022120121020010211212200201
41023012311210022300213031
5321244004124444411341
63130312234411453501
7126402033545361400
oct11306654412604715
91538517203755621
10330323320310221
1196284373893027
123106aa57757291
1311241480bc12a4
145b7da3c191d37
15282c7032c8331
hex12c6d642b09cd

330323320310221 has 12 divisors (see below), whose sum is σ = 384603935190588. Its totient is φ = 282876175804992.

The previous prime is 330323320310201. The next prime is 330323320310239. The reversal of 330323320310221 is 122013023323033.

It can be written as a sum of positive squares in 2 ways, for example, as 54136779372900 + 276186540937321 = 7357770^2 + 16618861^2 .

It is a de Polignac number, because none of the positive numbers 2k-330323320310221 is a prime.

It is a super-2 number, since 2×3303233203102212 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 330323320310221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330323320310201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3072549826 + ... + 3072657331.

It is an arithmetic number, because the mean of its divisors is an integer number (32050327932549).

Almost surely, 2330323320310221 is an apocalyptic number.

It is an amenable number.

330323320310221 is a deficient number, since it is larger than the sum of its proper divisors (54280614880367).

330323320310221 is a wasteful number, since it uses less digits than its factorization.

330323320310221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6145208268 (or 6145208261 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 330323320310221 its reverse (122013023323033), we get a palindrome (452336343633254).

The spelling of 330323320310221 in words is "three hundred thirty trillion, three hundred twenty-three billion, three hundred twenty million, three hundred ten thousand, two hundred twenty-one".

Divisors: 1 7 49 1097 7679 53753 6145207157 43016450099 301115150693 6741292251229 47189045758603 330323320310221