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213134424431312 = 24731371518820907
BaseRepresentation
bin110000011101100000111001…
…101010000101101011010000
31000221122110012111102020020002
4300131200321222011223100
5210413443300123300222
62033144334120105132
762615311504025216
oct6035407152055320
91027573174366202
10213134424431312
1161a0289020897a
121baa2a676051a8
1391c064a6571c7
143a8ba9298ccb6
1519991aebec392
hexc1d839a85ad0

213134424431312 has 80 divisors (see below), whose sum is σ = 424452778081152. Its totient is φ = 103649173862400.

The previous prime is 213134424431311. The next prime is 213134424431329.

213134424431312 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213134424431311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19751963 + ... + 28572869.

Almost surely, 2213134424431312 is an apocalyptic number.

It is an amenable number.

213134424431312 is a deficient number, since it is larger than the sum of its proper divisors (211318353649840).

213134424431312 is a wasteful number, since it uses less digits than its factorization.

213134424431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8821276 (or 8821270 counting only the distinct ones).

The product of its digits is 165888, while the sum is 38.

The spelling of 213134424431312 in words is "two hundred thirteen trillion, one hundred thirty-four billion, four hundred twenty-four million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 73 137 146 151 274 292 302 548 584 604 1096 1168 1208 2192 2416 10001 11023 20002 20687 22046 40004 41374 44092 80008 82748 88184 160016 165496 176368 330992 1510151 3020302 6040604 8820907 12081208 17641814 24162416 35283628 70567256 141134512 643926211 1208464259 1287852422 1331956957 2416928518 2575704844 2663913914 4833857036 5151409688 5327827828 9667714072 10302819376 10655655656 19335428144 21311311312 88217890907 97232857861 176435781814 182478103109 194465715722 352871563628 364956206218 388931431444 705743127256 729912412436 777862862888 1411486254512 1459824824872 1555725725776 2919649649744 13320901526957 26641803053914 53283606107828 106567212215656 213134424431312