Search a number
-
+
231331133030033 = 17471745991658233
BaseRepresentation
bin110100100110010011111010…
…000000100111111010010001
31010100002001002101222001200002
4310212103322000213322101
5220310112130023430113
62140000015545135345
766504060062046011
oct6446237200477221
91110061071861602
10231331133030033
1167788a89894883
1221b4163448a555
139c1058083450a
14411a6b525dc41
151bb26c10c4c58
hexd264fa027e91

231331133030033 has 16 divisors (see below), whose sum is σ = 250151895129600. Its totient is φ = 213089657181696.

The previous prime is 231331133029961. The next prime is 231331133030057. The reversal of 231331133030033 is 330030331133132.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 231331133030033 - 244 = 213738946985617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 231331133029978 and 231331133030005.

It is not an unprimeable number, because it can be changed into a prime (231331133032033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 138675485 + ... + 140333717.

It is an arithmetic number, because the mean of its divisors is an integer number (15634493445600).

Almost surely, 2231331133030033 is an apocalyptic number.

It is an amenable number.

231331133030033 is a deficient number, since it is larger than the sum of its proper divisors (18820762099567).

231331133030033 is a wasteful number, since it uses less digits than its factorization.

231331133030033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832896.

The product of its (nonzero) digits is 13122, while the sum is 29.

Adding to 231331133030033 its reverse (330030331133132), we get a palindrome (561361464163165).

The spelling of 231331133030033 in words is "two hundred thirty-one trillion, three hundred thirty-one billion, one hundred thirty-three million, thirty thousand, thirty-three".

Divisors: 1 17 47 799 174599 1658233 2968183 8206153 28189961 77936951 139504601 1324928167 289525823567 4921939000639 13607713707649 231331133030033