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213245323542312 = 23388333809297629
BaseRepresentation
bin110000011111001000001011…
…110000100111111100101000
31000222001001110020122210000120
4300133020023300213330220
5210422302410311323222
62033311314345003240
762626315623642435
oct6037101360477450
91028031406583016
10213245323542312
1161a45919933426
121bb00457483520
1391cac421c8c49
143a931b333ab8c
15199c000be815c
hexc1f20bc27f28

213245323542312 has 64 divisors (see below), whose sum is σ = 533734640712000. Its totient is φ = 70998935583744.

The previous prime is 213245323542221. The next prime is 213245323542359.

213245323542312 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 716331514 + ... + 716629142.

It is an arithmetic number, because the mean of its divisors is an integer number (8339603761125).

Almost surely, 2213245323542312 is an apocalyptic number.

It is an amenable number.

213245323542312 is an abundant number, since it is smaller than the sum of its proper divisors (320489317169688).

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

213245323542312 is a wasteful number, since it uses less digits than its factorization.

213245323542312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332330 (or 332326 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 42.

The spelling of 213245323542312 in words is "two hundred thirteen trillion, two hundred forty-five billion, three hundred twenty-three million, five hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 883 1766 2649 3532 5298 7064 10596 21192 33809 67618 101427 135236 202854 270472 297629 405708 595258 811416 892887 1190516 1785774 2381032 3571548 7143096 29853347 59706694 89560041 119413388 179120082 238826776 262806407 358240164 525612814 716480328 788419221 1051225628 1576838442 2102451256 3153676884 6307353768 10062538861 20125077722 30187616583 40250155444 60375233166 80500310888 120750466332 241500932664 8885221814263 17770443628526 26655665442789 35540887257052 53311330885578 71081774514104 106622661771156 213245323542312