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132134220309 = 3731312797723
BaseRepresentation
bin111101100001111010…
…0000011001000010101
3110122001122211212111110
41323003310003020111
54131102330022214
6140411314525233
712355260225000
oct1730364031025
9418048755443
10132134220309
1151046360473
1221737596819
13c5ca0b45a0
146576b02537
1536853da159
hex1ec3d03215

132134220309 has 64 divisors (see below), whose sum is σ = 221462528000. Its totient is φ = 69633660096.

The previous prime is 132134220289. The next prime is 132134220319. The reversal of 132134220309 is 903022431231.

It is not a de Polignac number, because 132134220309 - 211 = 132134218261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132134220319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17105322 + ... + 17113044.

It is an arithmetic number, because the mean of its divisors is an integer number (3460352000).

Almost surely, 2132134220309 is an apocalyptic number.

It is an amenable number.

132134220309 is a deficient number, since it is larger than the sum of its proper divisors (89328307691).

132134220309 is a wasteful number, since it uses less digits than its factorization.

132134220309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9039 (or 9025 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 132134220309 in words is "one hundred thirty-two billion, one hundred thirty-four million, two hundred twenty thousand, three hundred nine".

Divisors: 1 3 7 13 21 39 49 91 147 273 343 637 1029 1279 1911 3837 4459 7723 8953 13377 16627 23169 26859 49881 54061 62671 100399 116389 162183 188013 301197 349167 378427 438697 702793 814723 1135281 1316091 2108379 2444169 2648989 4919551 5703061 7946967 9877717 14758653 17109183 29633151 34436857 69144019 103310571 128410321 207432057 385230963 484008133 898872247 1452024399 2696616741 3388056931 6292105729 10164170793 18876317187 44044740103 132134220309