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32002131100005 = 33511591178930983
BaseRepresentation
bin1110100011011000100111…
…01010000000000101100101
311012022101002112120201002000
413101230103222000011211
513143310331030200010
6152021324233035513
76512035433060643
oct721542352000545
9135271075521060
1032002131100005
11a219033791910
12370a288b55b99
1314b1a32360031
147c8ca8ca0193
153a76aee137c0
hex1d1b13a80165

32002131100005 has 128 divisors (see below), whose sum is σ = 63124075008000. Its totient is φ = 15251412476160.

The previous prime is 32002131099989. The next prime is 32002131100019. The reversal of 32002131100005 is 50000113120023.

It is not a de Polignac number, because 32002131100005 - 24 = 32002131099989 is a prime.

It is a super-2 number, since 2×320021311000052 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1032877744 + ... + 1032908726.

It is an arithmetic number, because the mean of its divisors is an integer number (493156836000).

Almost surely, 232002131100005 is an apocalyptic number.

It is an amenable number.

32002131100005 is a deficient number, since it is larger than the sum of its proper divisors (31121943907995).

32002131100005 is a wasteful number, since it uses less digits than its factorization.

32002131100005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42856 (or 42850 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 32002131100005 its reverse (50000113120023), we get a palindrome (82002244220028).

The spelling of 32002131100005 in words is "thirty-two trillion, two billion, one hundred thirty-one million, one hundred thousand, five".

Divisors: 1 3 5 9 11 15 27 33 45 55 59 99 135 165 177 295 297 495 531 649 885 1485 1593 1947 2655 3245 5841 7965 9735 11789 17523 29205 30983 35367 58945 87615 92949 106101 129679 154915 176835 278847 318303 340813 389037 464745 530505 648395 695551 836541 1022439 1167111 1394235 1591515 1704065 1827997 1945185 2086653 3067317 3477755 3501333 4182705 5112195 5483991 5835555 6259959 7651061 9139985 9201951 10433265 15336585 16451973 17506665 18779877 20107967 22953183 27419955 31299795 38255305 46009755 49355919 60323901 68859549 82259865 93899385 100539835 114765915 180971703 206578647 246779595 301619505 344297745 365258587 542915109 904858515 1032893235 1095775761 1826292935 2714575545 3287327283 4017844457 5478878805 9861981849 12053533371 16436636415 20089222285 21550256633 36160600113 49309909245 60267666855 64650769899 107751283165 108481800339 180803000565 193952309697 237052822963 323253849495 542409001695 581856929091 711158468889 969761548485 1185264114815 2133475406667 2909284645455 3555792344445 6400426220001 10667377033335 32002131100005