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330330232001232 = 2432193271198722073
BaseRepresentation
bin100101100011011110000000…
…0001000110001001011010000
31121022121021001211102011022200
41023012330000020301023100
5321244112303343014412
63130315340313203200
7126402400042650141
oct11306740010611320
91538537054364280
10330330232001232
11962872a0300861
1231070266400500
1311242012b17b98
145b800d60c1ac8
15282c9a9e9b9dc
hex12c6f002312d0

330330232001232 has 240 divisors, whose sum is σ = 933196493768448. Its totient is φ = 109075487293440.

The previous prime is 330330232001179. The next prime is 330330232001233. The reversal of 330330232001232 is 232100232033033.

330330232001232 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 302 + 320 + 0 + 1 + 2 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 330330232001196 and 330330232001205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330330232001233) 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, 14965341748 + ... + 14965363820.

Almost surely, 2330330232001232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330330232001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466598246884224).

330330232001232 is an abundant number, since it is smaller than the sum of its proper divisors (602866261767216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330330232001232 is a wasteful number, since it uses less digits than its factorization.

330330232001232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24538 (or 24529 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 330330232001232 its reverse (232100232033033), we get a palindrome (562430464034265).

The spelling of 330330232001232 in words is "three hundred thirty trillion, three hundred thirty billion, two hundred thirty-two million, one thousand, two hundred thirty-two".