Search a number
-
+
330130313233220 = 22597123716995353
BaseRepresentation
bin100101100010000000111010…
…0000011001100001101000100
31121021220011001010222111011102
41023010001310003030031010
5321232323340141430340
63130043434444155232
7126352061626320113
oct11304016403141504
91537804033874142
10330130313233220
119620a530382435
1231039571b38b18
131122920259aa96
145b7456cb07c7a
1528276a8c21215
hex12c40740cc344

330130313233220 has 24 divisors (see below), whose sum is σ = 693274412386584. Its totient is φ = 132051981560576.

The previous prime is 330130313233163. The next prime is 330130313233249. The reversal of 330130313233220 is 22332313031033.

It can be written as a sum of positive squares in 4 ways, for example, as 36389174134336 + 293741139098884 = 6032344^2 + 17138878^2 .

It is a super-2 number, since 2×3301303132332202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10927064 + ... + 27922416.

It is an arithmetic number, because the mean of its divisors is an integer number (28886433849441).

Almost surely, 2330130313233220 is an apocalyptic number.

It is an amenable number.

330130313233220 is an abundant number, since it is smaller than the sum of its proper divisors (363144099153364).

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

330130313233220 is a wasteful number, since it uses less digits than its factorization.

330130313233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17966599 (or 17966597 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 330130313233220 its reverse (22332313031033), we get a palindrome (352462626264253).

The spelling of 330130313233220 in words is "three hundred thirty trillion, one hundred thirty billion, three hundred thirteen million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 971237 1942474 3884948 4856185 9712370 16995353 19424740 33990706 67981412 84976765 169953530 339907060 16506515661661 33013031323322 66026062646644 82532578308305 165065156616610 330130313233220