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330120330031413 = 32477328271064953
BaseRepresentation
bin100101100001111100010000…
…1000000010011000100110101
31121021212012021101211021211100
41023003320201000103010311
5321232142413442001123
63130035104101400313
7126351256344440355
oct11303704100230465
91537765241737740
10330120330031413
11962062780a1129
1231037646709099
13112282a121258c
145b73ca2cb8b65
1528272c2580643
hex12c3e21013135

330120330031413 has 24 divisors (see below), whose sum is σ = 486987140585088. Its totient is φ = 215397165961152.

The previous prime is 330120330031403. The next prime is 330120330031489. The reversal of 330120330031413 is 314130033021033.

330120330031413 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 2 + 0 + 330 + 0 + 314 + 13 = 666.

It is not a de Polignac number, because 330120330031413 - 25 = 330120330031381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330120330031403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309453345 + ... + 310518297.

It is an arithmetic number, because the mean of its divisors is an integer number (20291130857712).

Almost surely, 2330120330031413 is an apocalyptic number.

It is an amenable number.

330120330031413 is a deficient number, since it is larger than the sum of its proper divisors (156866810553675).

330120330031413 is a wasteful number, since it uses less digits than its factorization.

330120330031413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797833 (or 1797830 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 330120330031413 its reverse (314130033021033), we get a palindrome (644250363052446).

The spelling of 330120330031413 in words is "three hundred thirty trillion, one hundred twenty billion, three hundred thirty million, thirty-one thousand, four hundred thirteen".

Divisors: 1 3 9 47 141 423 732827 1064953 2198481 3194859 6595443 9584577 34442869 50052791 103328607 150158373 309985821 450475119 780426312131 2341278936393 7023836809179 36680036670157 110040110010471 330120330031413