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11130130333 = 721761219041
BaseRepresentation
bin10100101110110100…
…00100111110011101
31001201200022012111101
422113122010332131
5140243303132313
65040233153101
7542546355400
oct122732047635
931650265441
1011130130333
1147a1739723
1221a755b791
131084b8a54a
147782a5d37
154521e65dd
hex297684f9d

11130130333 has 24 divisors (see below), whose sum is σ = 13933699704. Its totient is φ = 8831692800.

The previous prime is 11130130331. The next prime is 11130130339. The reversal of 11130130333 is 33303103111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 434847609 + 10695282724 = 20853^2 + 103418^2 .

It is not a de Polignac number, because 11130130333 - 21 = 11130130331 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11130130333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130130331) 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 23 ways as a sum of consecutive naturals, for example, 58708 + ... + 160333.

It is an arithmetic number, because the mean of its divisors is an integer number (580570821).

Almost surely, 211130130333 is an apocalyptic number.

It is an amenable number.

11130130333 is a deficient number, since it is larger than the sum of its proper divisors (2803569371).

11130130333 is a wasteful number, since it uses less digits than its factorization.

11130130333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219133 (or 219126 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 11130130333 its reverse (33303103111), we get a palindrome (44433233444).

The spelling of 11130130333 in words is "eleven billion, one hundred thirty million, one hundred thirty thousand, three hundred thirty-three".

Divisors: 1 7 17 49 61 119 427 833 1037 2989 7259 50813 219041 1533287 3723697 10733009 13361501 26065879 93530507 182461153 227145517 654713549 1590018619 11130130333