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10133010333 = 3613899877
BaseRepresentation
bin10010110111111100…
…10111011110011101
3222011012001021000000
421123332113132131
5131223022312313
64353253324513
7506051111115
oct113376273635
928135037000
1010133010333
11432a902706
121b69636739
13c5641b204
146c1aa8045
153e48d3673
hex25bf9779d

10133010333 has 14 divisors (see below), whose sum is σ = 15192566654. Its totient is φ = 6755339736.

The previous prime is 10133010299. The next prime is 10133010383. The reversal of 10133010333 is 33301033101.

10133010333 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 1 + 0 + 333 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9611253369 + 521756964 = 98037^2 + 22842^2 .

It is not a de Polignac number, because 10133010333 - 220 = 10131961757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133010383) 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 13 ways as a sum of consecutive naturals, for example, 6949210 + ... + 6950667.

Almost surely, 210133010333 is an apocalyptic number.

It is an amenable number.

10133010333 is a deficient number, since it is larger than the sum of its proper divisors (5059556321).

10133010333 is an frugal number, since it uses more digits than its factorization.

10133010333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13899895 (or 13899880 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 10133010333 its reverse (33301033101), we get a palindrome (43434043434).

The spelling of 10133010333 in words is "ten billion, one hundred thirty-three million, ten thousand, three hundred thirty-three".

Divisors: 1 3 9 27 81 243 729 13899877 41699631 125098893 375296679 1125890037 3377670111 10133010333