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334104131230093 = 7219501349646257
BaseRepresentation
bin100101111110111011010111…
…0000011110101100110001101
31121210222001011100121121211001
41023331312232003311212031
5322242430230043330333
63142325152523100301
7130242140555060500
oct11375665603654615
91553861140547731
10334104131230093
1197501848003594
123157b751671691
1311456b65cca273
145c70a24ad7137
152895c36375b7d
hex12fddae0f598d

334104131230093 has 12 divisors (see below), whose sum is σ = 388671675440412. Its totient is φ = 286360283664000.

The previous prime is 334104131230073. The next prime is 334104131230099. The reversal of 334104131230093 is 390032131401433.

It can be written as a sum of positive squares in 2 ways, for example, as 87724709625609 + 246379421604484 = 9366147^2 + 15696478^2 .

It is not a de Polignac number, because 334104131230093 - 225 = 334104097675661 is a prime.

It is a super-2 number, since 2×3341041312300932 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334104131230099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173867580 + ... + 175778677.

It is an arithmetic number, because the mean of its divisors is an integer number (32389306286701).

Almost surely, 2334104131230093 is an apocalyptic number.

It is an amenable number.

334104131230093 is a deficient number, since it is larger than the sum of its proper divisors (54567544210319).

334104131230093 is a wasteful number, since it uses less digits than its factorization.

334104131230093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349665772 (or 349665765 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The spelling of 334104131230093 in words is "three hundred thirty-four trillion, one hundred four billion, one hundred thirty-one million, two hundred thirty thousand, ninety-three".

Divisors: 1 7 49 19501 136507 955549 349646257 2447523799 17132666593 6818451657757 47729161604299 334104131230093