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331131424412313 = 3275256054355751
BaseRepresentation
bin100101101001010011000101…
…0111011010001001010011001
31121102102212002022021122210200
41023102212022323101022121
5321400224124122143223
63132131402031132413
7126514312246042260
oct11322461273211231
91542385068248720
10331131424412313
1196566059558658
123117b5a4074109
131129c736b2c735
145baabbc95d5d7
15284374cccaa43
hex12d298aed1299

331131424412313 has 12 divisors (see below), whose sum is σ = 546629652998208. Its totient is φ = 189217956807000.

The previous prime is 331131424412311. The next prime is 331131424412387. The reversal of 331131424412313 is 313214424131133.

331131424412313 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 314 + 24 + 4 + 1 + 2 + 313 = 666.

It is not a de Polignac number, because 331131424412313 - 21 = 331131424412311 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331131424412311) 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, 2628027177813 + ... + 2628027177938.

It is an arithmetic number, because the mean of its divisors is an integer number (45552471083184).

Almost surely, 2331131424412313 is an apocalyptic number.

It is an amenable number.

331131424412313 is a deficient number, since it is larger than the sum of its proper divisors (215498228585895).

331131424412313 is a wasteful number, since it uses less digits than its factorization.

331131424412313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256054355764 (or 5256054355761 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 331131424412313 its reverse (313214424131133), we get a palindrome (644345848543446).

The spelling of 331131424412313 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, four hundred twenty-four million, four hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 63 5256054355751 15768163067253 36792380490257 47304489201759 110377141470771 331131424412313