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330331323133033 = 10111321288897373
BaseRepresentation
bin100101100011011110100000…
…1001011000110110001101001
31121022121100212212120101202121
41023012331001023012301221
5321244122022210224113
63130320040452031241
7126402436062266335
oct11306750113066151
91538540785511677
10330331323133033
1196287800209282
123107050b902521
1311242157bb21c1
145b8019ad927c5
15282ca20b7ee8d
hex12c6f412c6c69

330331323133033 has 8 divisors (see below), whose sum is σ = 333631398979656. Its totient is φ = 327031825104000.

The previous prime is 330331323133027. The next prime is 330331323133171.

330331323133033 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 62159158955664 + 268172164177369 = 7884108^2 + 16375963^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330331323133033 is a prime.

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 330331323133033.

It is not an unprimeable number, because it can be changed into a prime (330331323133003) 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 7 ways as a sum of consecutive naturals, for example, 143305266 + ... + 145592107.

It is an arithmetic number, because the mean of its divisors is an integer number (41703924872457).

Almost surely, 2330331323133033 is an apocalyptic number.

It is an amenable number.

330331323133033 is a deficient number, since it is larger than the sum of its proper divisors (3300075846623).

330331323133033 is a wasteful number, since it uses less digits than its factorization.

330331323133033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288908795.

The product of its (nonzero) digits is 118098, while the sum is 34.

The spelling of 330331323133033 in words is "three hundred thirty trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred thirty-three thousand, thirty-three".

Divisors: 1 101 11321 1143421 288897373 29178634673 3270607159733 330331323133033