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331302303221 = 4189157578297
BaseRepresentation
bin1001101001000110010…
…01111111010111110101
31011200011000201210021212
410310203021333113311
520412001342200341
6412110450051205
732635660053521
oct4644311772765
91150130653255
10331302303221
11118560570a8a
1254260579b05
132531ac57116
141206c50ad81
1589407d05eb
hex4d2327f5f5

331302303221 has 16 divisors (see below), whose sum is σ = 345382697520. Its totient is φ = 317553899520.

The previous prime is 331302303217. The next prime is 331302303247. The reversal of 331302303221 is 122303203133.

It can be written as a sum of positive squares in 8 ways, for example, as 130692372196 + 200609931025 = 361514^2 + 447895^2 .

It is a cyclic number.

It is not a de Polignac number, because 331302303221 - 22 = 331302303217 is a prime.

It is a super-2 number, since 2×3313023032212 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331302303281) 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, 283745 + ... + 862041.

It is an arithmetic number, because the mean of its divisors is an integer number (21586418595).

Almost surely, 2331302303221 is an apocalyptic number.

It is an amenable number.

331302303221 is a deficient number, since it is larger than the sum of its proper divisors (14080394299).

331302303221 is a wasteful number, since it uses less digits than its factorization.

331302303221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578584.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 331302303221 its reverse (122303203133), we get a palindrome (453605506354).

The spelling of 331302303221 in words is "three hundred thirty-one billion, three hundred two million, three hundred three thousand, two hundred twenty-one".

Divisors: 1 41 89 157 3649 6437 13973 572893 578297 23710177 51468433 90792629 2110205753 3722497789 8080543981 331302303221