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330042303301321 = 1323832160229411
BaseRepresentation
bin100101100001010111111011…
…0001111111100011011001001
31121021120201212120202201021001
41023002233312033330123021
5321224403114121120241
63125535201354015001
7126342524643251302
oct11302576617743311
91537521776681231
10330042303301321
1196186178034a26
12310244ab717461
1311220b17b562c0
145b701c023b7a9
152825257444431
hex12c2bf63fc6c9

330042303301321 has 24 divisors (see below), whose sum is σ = 375405975798336. Its totient is φ = 287897640217440.

The previous prime is 330042303301309. The next prime is 330042303301387. The reversal of 330042303301321 is 123103303240033.

It is not a de Polignac number, because 330042303301321 - 25 = 330042303301289 is a prime.

It is a super-3 number, since 3×3300423033013213 (a number of 45 digits) contains 333 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 330042303301321.

It is not an unprimeable number, because it can be changed into a prime (330042303304321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78054895 + ... + 82174516.

It is an arithmetic number, because the mean of its divisors is an integer number (15641915658264).

Almost surely, 2330042303301321 is an apocalyptic number.

It is an amenable number.

330042303301321 is a deficient number, since it is larger than the sum of its proper divisors (45363672497015).

330042303301321 is a wasteful number, since it uses less digits than its factorization.

330042303301321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160229613 (or 160229530 counting only the distinct ones).

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

Adding to 330042303301321 its reverse (123103303240033), we get a palindrome (453145606541354).

The spelling of 330042303301321 in words is "three hundred thirty trillion, forty-two billion, three hundred three million, three hundred one thousand, three hundred twenty-one".

Divisors: 1 13 23 83 299 1079 1909 6889 24817 89557 158447 2059811 160229411 2082982343 3685276453 13299041113 47908593889 172887534469 305877945599 1103820412379 3976413292787 14349665360927 25387869484717 330042303301321