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8108131052322 = 2397229128489
BaseRepresentation
bin111010111111101001001…
…0001010110101100100010
31001201010111121001000000000
41311333102101112230202
52030320423022133242
625124453551440430
71464536021540520
oct165772221265442
931633447030000
108108131052322
112646703667294
12aab4b0826116
1346a793b40462
1420061555d310
15e0d9ee35a4c
hex75fd2456b22

8108131052322 has 160 divisors (see below), whose sum is σ = 20940333955200. Its totient is φ = 2306474725248.

The previous prime is 8108131052317. The next prime is 8108131052369. The reversal of 8108131052322 is 2232501318018.

8108131052322 is a `hidden beast` number, since 8 + 1 + 0 + 81 + 31 + 0 + 523 + 22 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63039454 + ... + 63167942.

It is an arithmetic number, because the mean of its divisors is an integer number (130877087220).

Almost surely, 28108131052322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8108131052322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10470166977600).

8108131052322 is an abundant number, since it is smaller than the sum of its proper divisors (12832202902878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8108131052322 is an equidigital number, since it uses as much as digits as its factorization.

8108131052322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128754 (or 128730 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 8108131052322 in words is "eight trillion, one hundred eight billion, one hundred thirty-one million, fifty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 229 243 378 458 486 567 687 729 1134 1374 1458 1603 1701 2061 2187 3206 3402 4122 4374 4809 5103 6183 6561 9618 10206 12366 13122 14427 15309 18549 19683 28854 30618 37098 39366 43281 45927 55647 86562 91854 111294 128489 129843 137781 166941 256978 259686 275562 333882 385467 389529 500823 770934 779058 899423 1001646 1156401 1168587 1502469 1798846 2312802 2337174 2698269 3004938 3469203 3505761 4507407 5396538 6938406 7011522 8094807 9014814 10407609 10517283 16189614 20815218 21034566 24284421 29423981 31222827 31551849 48568842 58847962 62445654 63103698 72853263 88271943 93668481 145706526 176543886 187336962 205967867 218559789 264815829 281005443 411935734 437119578 529631658 562010886 617903601 655679367 794447487 843016329 1235807202 1311358734 1588894974 1686032658 1853710803 1967038101 2383342461 2529048987 3707421606 3934076202 4766684922 5058097974 5561132409 5901114303 7150027383 11122264818 11802228606 14300054766 16683397227 17703342909 21450082149 33366794454 35406685818 42900164298 50050191681 64350246447 100100383362 128700492894 150150575043 193050739341 300301150086 386101478682 450451725129 579152218023 900903450258 1158304436046 1351355175387 2702710350774 4054065526161 8108131052322