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213133032031321 = 1761205528478333
BaseRepresentation
bin110000011101011111100110…
…101010100000010001011001
31000221122022121110100222112001
4300131133212222200101121
5210413432422200000241
62033143544020121001
762615232135565063
oct6035374652402131
91027568543328461
10213133032031321
1161a02236240186
121baa2739236161
1391c0488039a9c
143a8b99da98733
15199912c859431
hexc1d7e6aa0459

213133032031321 has 8 divisors (see below), whose sum is σ = 229369781820744. Its totient is φ = 197307339198720.

The previous prime is 213133032031313. The next prime is 213133032031333. The reversal of 213133032031321 is 123130230331312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71332568031321 + 141800464000000 = 8445861^2 + 11908000^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213133032031321 - 23 = 213133032031313 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 213133032031321.

It is not an unprimeable number, because it can be changed into a prime (213133032031301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102764238130 + ... + 102764240203.

It is an arithmetic number, because the mean of its divisors is an integer number (28671222727593).

Almost surely, 2213133032031321 is an apocalyptic number.

It is an amenable number.

213133032031321 is a deficient number, since it is larger than the sum of its proper divisors (16236749789423).

213133032031321 is a wasteful number, since it uses less digits than its factorization.

213133032031321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205528478411.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 213133032031321 its reverse (123130230331312), we get a palindrome (336263262362633).

The spelling of 213133032031321 in words is "two hundred thirteen trillion, one hundred thirty-three billion, thirty-two million, thirty-one thousand, three hundred twenty-one".

Divisors: 1 17 61 1037 205528478333 3493984131661 12537237178313 213133032031321