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330310331133101 = 11431172542251
BaseRepresentation
bin100101100011010100101110…
…1111100111110110010101101
31121022112100200220102022102122
41023012221131330332302231
5321243301024232224401
63130302245444402325
7126401063633241344
oct11306513574766255
91538470626368378
10330310331133101
1196279908830000
12310684316a63a5
1311240190b3b877
145b7d169042b5b
15282c1e2cb321b
hex12c6a5df3ecad

330310331133101 has 20 divisors (see below), whose sum is σ = 364507406159520. Its totient is φ = 299316577725000.

The previous prime is 330310331132963. The next prime is 330310331133113. The reversal of 330310331133101 is 101331133013033.

It is a happy number.

It is not a de Polignac number, because 330310331133101 - 242 = 325912284621997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330310331133151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31717775 + ... + 40824476.

It is an arithmetic number, because the mean of its divisors is an integer number (18225370307976).

Almost surely, 2330310331133101 is an apocalyptic number.

It is an amenable number.

330310331133101 is a deficient number, since it is larger than the sum of its proper divisors (34197075026419).

330310331133101 is an frugal number, since it uses more digits than its factorization.

330310331133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72542606 (or 72542573 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 26.

Adding to 330310331133101 its reverse (101331133013033), we get a palindrome (431641464146134).

The spelling of 330310331133101 in words is "three hundred thirty trillion, three hundred ten billion, three hundred thirty-one million, one hundred thirty-three thousand, one hundred one".

Divisors: 1 11 121 311 1331 3421 14641 37631 413941 4553351 72542251 797964761 8777612371 22560640061 96553736081 248167040671 1062091096891 2729837447381 30028211921191 330310331133101