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1004313330512 = 241713212795101
BaseRepresentation
bin11101001110101011011…
…11010100001101010000
310120000022022201022120222
432213111233110031100
5112423313203034022
62045213012052212
7132362551312442
oct16472557241520
93500268638528
101004313330512
11357a21768a58
12142786604068
1373924aa480b
1436875240492
151b1d0280242
hexe9d5bd4350

1004313330512 has 40 divisors (see below), whose sum is σ = 2061879662952. Its totient is φ = 472260096000.

The previous prime is 1004313330481. The next prime is 1004313330569. The reversal of 1004313330512 is 2150333134001.

It can be written as a sum of positive squares in 4 ways, for example, as 238296280336 + 766017050176 = 488156^2 + 875224^2 .

It is a super-3 number, since 3×10043133305123 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1038239 + ... + 1756862.

Almost surely, 21004313330512 is an apocalyptic number.

It is an amenable number.

1004313330512 is an abundant number, since it is smaller than the sum of its proper divisors (1057566332440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1004313330512 is a wasteful number, since it uses less digits than its factorization.

1004313330512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796447 (or 2796441 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 1004313330512 its reverse (2150333134001), we get a palindrome (3154646464513).

The spelling of 1004313330512 in words is "one trillion, four billion, three hundred thirteen million, three hundred thirty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 272 1321 2642 5284 10568 21136 22457 44914 89828 179656 359312 2795101 5590202 11180404 22360808 44721616 47516717 95033434 190066868 380133736 760267472 3692328421 7384656842 14769313684 29538627368 59077254736 62769583157 125539166314 251078332628 502156665256 1004313330512