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320332043404131 = 31172713352175541
BaseRepresentation
bin100100011010101110001110…
…1101010000100001101100011
31120000012102222212122201010120
41020311130131222010031203
5313441310011102413011
63053142301552531323
7124321140441051543
oct11065343552041543
91500172885581116
10320332043404131
119308206950a630
122bb165b5250b43
131099824a0429c5
145916221797323
1527078890b5a06
hex123571da84363

320332043404131 has 16 divisors (see below), whose sum is σ = 466578422139648. Its totient is φ = 193873588840800.

The previous prime is 320332043404099. The next prime is 320332043404147. The reversal of 320332043404131 is 131404340233023.

It is a happy number.

It is not a de Polignac number, because 320332043404131 - 25 = 320332043404099 is a prime.

It is a super-2 number, since 2×3203320434041312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 320332043404092 and 320332043404101.

It is not an unprimeable number, because it can be changed into a prime (320332043404531) 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 15 ways as a sum of consecutive naturals, for example, 6676063780 + ... + 6676111761.

It is an arithmetic number, because the mean of its divisors is an integer number (29161151383728).

Almost surely, 2320332043404131 is an apocalyptic number.

320332043404131 is a deficient number, since it is larger than the sum of its proper divisors (146246378735517).

320332043404131 is a wasteful number, since it uses less digits than its factorization.

320332043404131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13352176282.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 320332043404131 its reverse (131404340233023), we get a palindrome (451736383637154).

The spelling of 320332043404131 in words is "three hundred twenty trillion, three hundred thirty-two billion, forty-three million, four hundred four thousand, one hundred thirty-one".

Divisors: 1 3 11 33 727 2181 7997 23991 13352175541 40056526623 146873930951 440621792853 9707031618307 29121094854921 106777347801377 320332043404131