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10100110986 = 23272432511061
BaseRepresentation
bin10010110100000001…
…10111011010001010
3222001220010210120200
421122000313122022
5131141112022421
64350120233030
7505201345500
oct113200673212
928056123520
1010100110986
114313281969
121b5a60b776
13c4c66c644
146bb582670
153e1a85726
hex25a03768a

10100110986 has 144 divisors (see below), whose sum is σ = 26176838688. Its totient is φ = 2804760000.

The previous prime is 10100110949. The next prime is 10100110997. The reversal of 10100110986 is 68901100101.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9518896 + ... + 9519956.

It is an arithmetic number, because the mean of its divisors is an integer number (181783602).

Almost surely, 210100110986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100110986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13088419344).

10100110986 is an abundant number, since it is smaller than the sum of its proper divisors (16076727702).

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

10100110986 is a wasteful number, since it uses less digits than its factorization.

10100110986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 10100110986 in words is "ten billion, one hundred million, one hundred ten thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 49 63 86 98 126 129 147 251 258 294 301 387 441 502 602 753 774 882 903 1061 1506 1757 1806 2107 2122 2259 2709 3183 3514 4214 4518 5271 5418 6321 6366 7427 9549 10542 10793 12299 12642 14854 15813 18963 19098 21586 22281 24598 31626 32379 36897 37926 44562 45623 51989 64758 66843 73794 75551 91246 97137 103978 110691 133686 136869 151102 155967 194274 221382 226653 266311 273738 311934 319361 410607 453306 467901 528857 532622 638722 679959 798933 821214 935802 958083 1057714 1359918 1586571 1597866 1864177 1916166 2235527 2396799 2874249 3173142 3728354 4471054 4759713 4793598 5592531 5748498 6706581 9519426 11185062 11451373 13049239 13413162 16777593 20119743 22902746 26098478 33555186 34354119 39147717 40239486 68708238 78295434 80159611 103062357 117443151 160319222 206124714 234886302 240478833 480957666 561117277 721436499 1122234554 1442872998 1683351831 3366703662 5050055493 10100110986