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330130331212220 = 2257114759716191759
BaseRepresentation
bin100101100010000000111010…
…1000111110001100110111100
31121021220011002101210220201022
41023010001311013301212330
5321232323404242242340
63130043440325403312
7126352062235201040
oct11304016507614674
91537804071726638
10330130331212220
119620a53a542310
1231039577b69538
1311229206224346
145b74571268020
1528276aa5c33b5
hex12c40751f19bc

330130331212220 has 768 divisors, whose sum is σ = 912325607424000. Its totient is φ = 97394055091200.

The previous prime is 330130331212159. The next prime is 330130331212303. The reversal of 330130331212220 is 22212133031033.

It is a self number, because there is not a number n which added to its sum of digits gives 330130331212220.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 187680687701 + ... + 187680689459.

It is an arithmetic number, because the mean of its divisors is an integer number (1187923968000).

Almost surely, 2330130331212220 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 330130331212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456162803712000).

330130331212220 is an abundant number, since it is smaller than the sum of its proper divisors (582195276211780).

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

330130331212220 is a wasteful number, since it uses less digits than its factorization.

330130331212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 330130331212220 its reverse (22212133031033), we get a palindrome (352342464243253).

The spelling of 330130331212220 in words is "three hundred thirty trillion, one hundred thirty billion, three hundred thirty-one million, two hundred twelve thousand, two hundred twenty".