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213302302303131 = 32521107994212421
BaseRepresentation
bin110000011111111101001111…
…111101010110001110011011
31000222020111112012020201202100
4300133331033331112032123
5210424221103342200011
62033353420325334443
762633403616264566
oct6037751775261633
91028214465221670
10213302302303131
1161a67aa89637a8
121bb0b4b9567423
139203422a46432
143a95c5a8594dd
15199d7380add56
hexc1ff4ff5639b

213302302303131 has 24 divisors (see below), whose sum is σ = 308723353473600. Its totient is φ = 141915418819200.

The previous prime is 213302302303121. The next prime is 213302302303133. The reversal of 213302302303131 is 131303203203312.

213302302303131 is a `hidden beast` number, since 2 + 1 + 330 + 23 + 0 + 2 + 303 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 213302302303131 - 27 = 213302302303003 is a prime.

It is a super-2 number, since 2×2133023023031312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213302302303095 and 213302302303104.

It is not an unprimeable number, because it can be changed into a prime (213302302303133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48530301 + ... + 52742721.

It is an arithmetic number, because the mean of its divisors is an integer number (12863473061400).

Almost surely, 2213302302303131 is an apocalyptic number.

213302302303131 is a deficient number, since it is larger than the sum of its proper divisors (95421051170469).

213302302303131 is a wasteful number, since it uses less digits than its factorization.

213302302303131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223747 (or 4223744 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 213302302303131 its reverse (131303203203312), we get a palindrome (344605505506443).

The spelling of 213302302303131 in words is "two hundred thirteen trillion, three hundred two billion, three hundred two million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 3 9 521 1563 4689 10799 32397 97191 4212421 5626279 12637263 16878837 37911789 50636511 2194671341 6584014023 19752042069 45489934379 136469803137 409409409411 23700255811459 71100767434377 213302302303131