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131324210073 = 32729184738917
BaseRepresentation
bin111101001001110001…
…0000110101110011001
3110112222012200002100100
41322103202012232121
54122422444210243
6140155101330013
712326223240060
oct1722342065631
9415865602310
10131324210073
1150770102821
1221550266909
13c4cb3382a4
1464db2cd1d7
1536392370d3
hex1e93886b99

131324210073 has 48 divisors (see below), whose sum is σ = 224391847680. Its totient is φ = 72413647488.

The previous prime is 131324210053. The next prime is 131324210099. The reversal of 131324210073 is 370012423131.

It is a happy number.

131324210073 is a `hidden beast` number, since 1 + 313 + 242 + 100 + 7 + 3 = 666.

It is not a de Polignac number, because 131324210073 - 218 = 131323947929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131324210053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3355011 + ... + 3393927.

It is an arithmetic number, because the mean of its divisors is an integer number (4674830160).

Almost surely, 2131324210073 is an apocalyptic number.

It is an amenable number.

131324210073 is a deficient number, since it is larger than the sum of its proper divisors (93067637607).

131324210073 is a wasteful number, since it uses less digits than its factorization.

131324210073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40806 (or 40803 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 131324210073 in words is "one hundred thirty-one billion, three hundred twenty-four million, two hundred ten thousand, seventy-three".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 1847 5541 12929 16623 38787 38917 53563 116361 116751 160689 272419 350253 374941 482067 817257 1124823 1128593 2451771 3374469 3385779 7900151 10157337 23700453 71101359 71879699 215639097 503157893 646917291 1509473679 2084511271 4528421037 6253533813 14591578897 18760601439 43774736691 131324210073