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23030784929313 = 3371931744834513
BaseRepresentation
bin1010011110010010001011…
…10000010010111000100001
310000112201111000000020002000
411033021011300102320201
511004314021420214223
6120552110241314213
74564630214612340
oct517110560227041
9100481430006060
1023030784929313
11737a334754857
1226bb62b335969
13cb0a419b3035
145989a5923b57
1529e13c0a0543
hex14f245c12e21

23030784929313 has 128 divisors (see below), whose sum is σ = 41194027315200. Its totient is φ = 12422937102336.

The previous prime is 23030784929311. The next prime is 23030784929333. The reversal of 23030784929313 is 31392948703032.

23030784929313 is a `hidden beast` number, since 2 + 3 + 0 + 307 + 8 + 49 + 293 + 1 + 3 = 666.

It is not a de Polignac number, because 23030784929313 - 21 = 23030784929311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23030784929313.

It is not an unprimeable number, because it can be changed into a prime (23030784929311) 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 127 ways as a sum of consecutive naturals, for example, 5103207345 + ... + 5103211857.

It is an arithmetic number, because the mean of its divisors is an integer number (321828338400).

Almost surely, 223030784929313 is an apocalyptic number.

It is an amenable number.

23030784929313 is a deficient number, since it is larger than the sum of its proper divisors (18163242385887).

23030784929313 is a wasteful number, since it uses less digits than its factorization.

23030784929313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9348 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 23030784929313 in words is "twenty-three trillion, thirty billion, seven hundred eighty-four million, nine hundred twenty-nine thousand, three hundred thirteen".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 317 399 513 951 1197 2219 2853 3591 4483 4513 6023 6657 8559 13449 13539 18069 19971 31381 31591 40347 40617 42161 54207 59913 85177 85747 94143 94773 121041 121851 126483 162621 255531 257241 282429 284319 379449 596239 600229 766593 771723 847287 852957 1138347 1421111 1430621 1788717 1800687 2299779 2315169 4263333 4291863 5366151 5402061 9947777 10014347 12789999 12875589 16098453 16206183 20231779 27001109 27181799 29843331 30043041 38369997 38626767 60695337 81003327 81545397 89529993 90129123 141622453 182086011 189007763 190272593 243009981 244636191 268589979 270387369 384403801 424867359 546258033 567023289 570817779 729029943 733908573 1153211403 1274602077 1701069867 1712453337 2690826607 3459634209 3823806231 5103209601 5137360011 6413473943 8072479821 10378902627 19240421829 24217439463 44894317601 57721265487 72652318389 121856004917 134682952803 173163796461 365568014751 404048858409 852992034419 1096704044253 1212146575227 2558976103257 3290112132759 7676928309771 23030784929313