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1033011302013 = 32593193556549
BaseRepresentation
bin11110000100001000100…
…01011000111001111101
310122202101100000022122100
433002010101120321331
5113411101343131023
62110320413135313
7134426661122025
oct17020421307175
93582340008570
101033011302013
11369108a49779
1214825548a539
13765494a1542
1437dd879aa85
151bd0e917c43
hexf084458e7d

1033011302013 has 12 divisors (see below), whose sum is σ = 1494643679100. Its totient is φ = 687512858496.

The previous prime is 1033011302009. The next prime is 1033011302039. The reversal of 1033011302013 is 3102031103301.

It is a happy number.

1033011302013 is a `hidden beast` number, since 1 + 0 + 330 + 1 + 130 + 201 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 455499458649 + 577511843364 = 674907^2 + 759942^2 .

It is not a de Polignac number, because 1033011302013 - 22 = 1033011302009 is a prime.

It is a super-2 number, since 2×10330113020132 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033011302413) 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 11 ways as a sum of consecutive naturals, for example, 96772938 + ... + 96783611.

It is an arithmetic number, because the mean of its divisors is an integer number (124553639925).

Almost surely, 21033011302013 is an apocalyptic number.

It is an amenable number.

1033011302013 is a deficient number, since it is larger than the sum of its proper divisors (461632377087).

1033011302013 is a wasteful number, since it uses less digits than its factorization.

1033011302013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193557148 (or 193557145 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1033011302013 its reverse (3102031103301), we get a palindrome (4135042405314).

The spelling of 1033011302013 in words is "one trillion, thirty-three billion, eleven million, three hundred two thousand, thirteen".

Divisors: 1 3 9 593 1779 5337 193556549 580669647 1742008941 114779033557 344337100671 1033011302013