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330121020033121 = 1923244375919767
BaseRepresentation
bin100101100001111100100101…
…0001000011100100001100001
31121021212021001111012000020011
41023003321022020130201201
5321232200322112024441
63130035300350444521
7126351312423400222
oct11303711210344141
91537767044160204
10330121020033121
11962065a1631679
12310377b9803741
1311228381160b05
145b73d2a7ad249
152827312e2a581
hex12c3e4a21c861

330121020033121 has 48 divisors (see below), whose sum is σ = 364166462499840. Its totient is φ = 298403413719840.

The previous prime is 330121020033113. The next prime is 330121020033131. The reversal of 330121020033121 is 121330020121033.

It is not a de Polignac number, because 330121020033121 - 23 = 330121020033113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330121020033092 and 330121020033101.

It is not an unprimeable number, because it can be changed into a prime (330121020033131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33799628580 + ... + 33799638346.

It is an arithmetic number, because the mean of its divisors is an integer number (7586801302080).

Almost surely, 2330121020033121 is an apocalyptic number.

It is an amenable number.

330121020033121 is a deficient number, since it is larger than the sum of its proper divisors (34045442466719).

330121020033121 is a wasteful number, since it uses less digits than its factorization.

330121020033121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17866 (or 17843 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 330121020033121 its reverse (121330020121033), we get a palindrome (451451040154154).

The spelling of 330121020033121 in words is "three hundred thirty trillion, one hundred twenty-one billion, twenty million, thirty-three thousand, one hundred twenty-one".

Divisors: 1 19 23 437 443 529 7591 8417 9767 10051 10189 144229 174593 185573 193591 224641 234347 3317267 3362813 4015639 4268179 4326781 4452593 5166743 63893447 74141297 76297141 77344699 82208839 98168117 99515963 1408684643 1469549281 1705249831 1778928077 1890803297 2288867149 32399746789 32844594571 33799633463 39220746113 43488475831 624047296849 745194176147 755425675133 14353087827527 17374790528059 330121020033121