Search a number
-
+
10133001333033 = 331217761197891
BaseRepresentation
bin1001001101110100010111…
…1100011110100100101001
31022212201001021201000100220
42103131011330132210221
52312004341320124113
633315011521120253
72064041135125605
oct223350574364451
938781037630326
1010133001333033
1132574220a4077
121177a15789089
135866cba90257
1427062306a505
151288b1510523
hex93745f1e929

10133001333033 has 24 divisors (see below), whose sum is σ = 13961412000288. Its totient is φ = 6537019104000.

The previous prime is 10133001333029. The next prime is 10133001333079. The reversal of 10133001333033 is 33033310033101.

It is not a de Polignac number, because 10133001333033 - 22 = 10133001333029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10133001332994 and 10133001333012.

It is not an unprimeable number, because it can be changed into a prime (10133001333023) 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 23 ways as a sum of consecutive naturals, for example, 51106018 + ... + 51303908.

It is an arithmetic number, because the mean of its divisors is an integer number (581725500012).

Almost surely, 210133001333033 is an apocalyptic number.

It is an amenable number.

10133001333033 is a deficient number, since it is larger than the sum of its proper divisors (3828410667255).

10133001333033 is a wasteful number, since it uses less digits than its factorization.

10133001333033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215717 (or 215686 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 24.

Adding to 10133001333033 its reverse (33033310033101), we get a palindrome (43166311366134).

The spelling of 10133001333033 in words is "ten trillion, one hundred thirty-three billion, one million, three hundred thirty-three thousand, thirty-three".

Divisors: 1 3 31 93 961 2883 17761 53283 197891 550591 593673 1651773 6134621 17068321 18403863 51204963 190173251 570519753 3514742051 10544226153 108957003581 326871010743 3377667111011 10133001333033