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100013243432140 = 225476113567128563
BaseRepresentation
bin10110101111011000100101…
…110110001111110011001100
3111010010011122220011120212101
4112233120211312033303030
5101102104110304312030
6552413241051244444
730031501256355463
oct2657304566176314
9433104586146771
10100013243432140
112995a418639815
12b2732a0a49724
1343a6292a9aa1c
141a9a949a279da
15b868922a97ca
hex5af625d8fccc

100013243432140 has 96 divisors (see below), whose sum is σ = 218030589149184. Its totient is φ = 38509111791360.

The previous prime is 100013243432107. The next prime is 100013243432159. The reversal of 100013243432140 is 41234342310001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100013243432099 and 100013243432108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777867499 + ... + 777996061.

It is an arithmetic number, because the mean of its divisors is an integer number (2271151970304).

Almost surely, 2100013243432140 is an apocalyptic number.

100013243432140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100013243432140 is an abundant number, since it is smaller than the sum of its proper divisors (118017345717044).

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

100013243432140 is a wasteful number, since it uses less digits than its factorization.

100013243432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142247 (or 142245 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 100013243432140 its reverse (41234342310001), we get a palindrome (141247585742141).

The spelling of 100013243432140 in words is "one hundred trillion, thirteen billion, two hundred forty-three million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 47 61 94 122 188 235 244 305 470 610 940 1220 2867 5734 11468 13567 14335 27134 28670 54268 57340 67835 128563 135670 257126 271340 514252 637649 642815 827587 1275298 1285630 1655174 2550596 2571260 3188245 3310348 4137935 6042461 6376490 7842343 8275870 12084922 12752980 15684686 16551740 24169844 30212305 31369372 38896589 39211715 60424610 77793178 78423430 120849220 155586356 156846860 194482945 368590121 388965890 737180242 777931780 1474360484 1744214221 1842950605 3488428442 3685901210 6976856884 7371802420 8721071105 17442142210 34884284420 81978068387 106397067481 163956136774 212794134962 327912273548 409890341935 425588269924 531985337405 819780683870 1063970674810 1639561367740 2127941349620 5000662171607 10001324343214 20002648686428 25003310858035 50006621716070 100013243432140