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330313032332101 = 71312730619337213
BaseRepresentation
bin100101100011010101111111…
…0111101001111001101000101
31121022112121200011012102212001
41023012223332331033031011
5321243322042234111401
63130303413500425301
7126401220603120160
oct11306537675171505
91538477604172761
10330313032332101
119627aa74565875
1231068a66248231
1311240501654c80
145b7d343aa8ad7
15282c2eeed3601
hex12c6afef4f345

330313032332101 has 32 divisors (see below), whose sum is σ = 409874114306048. Its totient is φ = 259203993027840.

The previous prime is 330313032332083. The next prime is 330313032332117. The reversal of 330313032332101 is 101233230313033.

It is not a de Polignac number, because 330313032332101 - 221 = 330313030234949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 330313032332101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330313032332141) 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 31 ways as a sum of consecutive naturals, for example, 30707371 + ... + 40044583.

It is an arithmetic number, because the mean of its divisors is an integer number (12808566072064).

Almost surely, 2330313032332101 is an apocalyptic number.

It is an amenable number.

330313032332101 is a deficient number, since it is larger than the sum of its proper divisors (79561081973947).

330313032332101 is a wasteful number, since it uses less digits than its factorization.

330313032332101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9340421.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 330313032332101 its reverse (101233230313033), we get a palindrome (431546262645134).

The spelling of 330313032332101 in words is "three hundred thirty trillion, three hundred thirteen billion, thirty-two million, three hundred thirty-two thousand, one hundred one".

Divisors: 1 7 13 91 127 889 1651 3061 11557 21427 39793 278551 388747 2721229 5053711 9337213 35375977 65360491 121383769 849686383 1185826051 8300782357 15415738663 28581208993 107910170641 200068462951 371555716909 2600890018363 3629813542111 25408694794777 47187576047443 330313032332101