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330030323121330 = 2335134110721432809
BaseRepresentation
bin100101100001010010010110…
…0001011001011110010110010
31121021112120221122221111212000
41023002210230023023302302
5321224204100204340310
63125525500513114430
7126341622032353656
oct11302445413136262
91537476848844760
10330030323121330
119618108a590427
1231022107558a16
131121c958b40cc0
145b6d7a50dca66
152824ca57db4c0
hex12c292c2cbcb2

330030323121330 has 256 divisors, whose sum is σ = 979969799692800. Its totient is φ = 78516091514880.

The previous prime is 330030323121313. The next prime is 330030323121377. The reversal of 330030323121330 is 33121323030033.

330030323121330 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 3 + 0 + 323 + 1 + 2 + 1 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 330030323121294 and 330030323121303.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4681966 + ... + 26114774.

It is an arithmetic number, because the mean of its divisors is an integer number (3828007030050).

Almost surely, 2330030323121330 is an apocalyptic number.

330030323121330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330030323121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489984899846400).

330030323121330 is an abundant number, since it is smaller than the sum of its proper divisors (649939476571470).

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

330030323121330 is a wasteful number, since it uses less digits than its factorization.

330030323121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21432986 (or 21432980 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 330030323121330 its reverse (33121323030033), we get a palindrome (363151646151363).

The spelling of 330030323121330 in words is "three hundred thirty trillion, thirty billion, three hundred twenty-three million, one hundred twenty-one thousand, three hundred thirty".