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10033131033 = 324127190057
BaseRepresentation
bin10010101100000010…
…10110111000011001
3221220020002212100200
421112001112320121
5131021440143113
64335324452413
7503426130612
oct112601267031
927806085320
1010033131033
114289493932
121b400aa109
13c3b81a633
146b2708c09
153dac54873
hex256056e19

10033131033 has 12 divisors (see below), whose sum is σ = 14845771668. Its totient is φ = 6525613440.

The previous prime is 10033131029. The next prime is 10033131041. The reversal of 10033131033 is 33013133001.

It can be written as a sum of positive squares in 2 ways, for example, as 332259984 + 9700871049 = 18228^2 + 98493^2 .

It is not a de Polignac number, because 10033131033 - 22 = 10033131029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10033130997 and 10033131015.

It is not an unprimeable number, because it can be changed into a prime (10033131533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13594660 + ... + 13595397.

It is an arithmetic number, because the mean of its divisors is an integer number (1237147639).

Almost surely, 210033131033 is an apocalyptic number.

It is an amenable number.

10033131033 is a deficient number, since it is larger than the sum of its proper divisors (4812640635).

10033131033 is a wasteful number, since it uses less digits than its factorization.

10033131033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27190104 (or 27190101 counting only the distinct ones).

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

Adding to 10033131033 its reverse (33013133001), we get a palindrome (43046264034).

The spelling of 10033131033 in words is "ten billion, thirty-three million, one hundred thirty-one thousand, thirty-three".

Divisors: 1 3 9 41 123 369 27190057 81570171 244710513 1114792337 3344377011 10033131033