Search a number
-
+
330033101331 = 31721130669371
BaseRepresentation
bin1001100110101111000…
…00010111101000010011
31011112212120111122121110
410303113200113220103
520401401433220311
6411340510424403
732562346034463
oct4632740275023
91145776448543
10330033101331
11117a6a0998aa
1253b67502103
132517801349b
1411d8bb25ba3
1588b91758a6
hex4cd7817a13

330033101331 has 16 divisors (see below), whose sum is σ = 468137294208. Its totient is φ = 206098166400.

The previous prime is 330033101327. The next prime is 330033101393. The reversal of 330033101331 is 133101330033.

It is not a de Polignac number, because 330033101331 - 22 = 330033101327 is a prime.

It is a super-2 number, since 2×3300331013312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330033101298 and 330033101307.

It is not an unprimeable number, because it can be changed into a prime (330033101231) 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 15 ways as a sum of consecutive naturals, for example, 15323925 + ... + 15345446.

It is an arithmetic number, because the mean of its divisors is an integer number (29258580888).

Almost surely, 2330033101331 is an apocalyptic number.

330033101331 is a deficient number, since it is larger than the sum of its proper divisors (138104192877).

330033101331 is a wasteful number, since it uses less digits than its factorization.

330033101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30669602.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 330033101331 its reverse (133101330033), we get a palindrome (463134431364).

The spelling of 330033101331 in words is "three hundred thirty billion, thirty-three million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 3 17 51 211 633 3587 10761 30669371 92008113 521379307 1564137921 6471237281 19413711843 110011033777 330033101331