Search a number
-
+
330013322112320 = 26571118173996673
BaseRepresentation
bin100101100001001010011011…
…0110101011110110101000000
31121021110222001211112202211122
41023002110312311132311000
5321223414240430043240
63125514005514331412
7126340450524231020
oct11302246665366500
91537428054482748
10330013322112320
11961749559a2760
123101a961a29b68
131121b179886562
145b6ca31239a80
15282460ceb54b5
hex12c2536d5ed40

330013322112320 has 224 divisors, whose sum is σ = 985166854753536. Its totient is φ = 102292999372800.

The previous prime is 330013322112281. The next prime is 330013322112433. The reversal of 330013322112320 is 23211223310033.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 330013322112320.

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 31 ways as a sum of consecutive naturals, for example, 32538497 + ... + 41458176.

It is an arithmetic number, because the mean of its divisors is an integer number (4398066315864).

Almost surely, 2330013322112320 is an apocalyptic number.

It is an amenable number.

330013322112320 is an abundant number, since it is smaller than the sum of its proper divisors (655153532641216).

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

330013322112320 is a wasteful number, since it uses less digits than its factorization.

330013322112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73996889 (or 73996879 counting only the distinct ones).

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

Adding to 330013322112320 its reverse (23211223310033), we get a palindrome (353224545422353).

The spelling of 330013322112320 in words is "three hundred thirty trillion, thirteen billion, three hundred twenty-two million, one hundred twelve thousand, three hundred twenty".