Search a number
-
+
201001012120212 = 223139331376196799
BaseRepresentation
bin101101101100111100110001…
…111011010100101010010100
3222100200111202010112111222020
4231230330301323110222110
5202321200033100321322
61551254331253133140
760223562313044403
oct5554746173245224
9870614663474866
10201001012120212
1159055061290127
121a66341432a1b0
138820411149505
14378c70265163a
15183876e5cd05c
hexb6cf31ed4a94

201001012120212 has 96 divisors (see below), whose sum is σ = 473934472704000. Its totient is φ = 66299041036800.

The previous prime is 201001012120201. The next prime is 201001012120213. The reversal of 201001012120212 is 212021210100102.

It is a super-2 number, since 2×2010010121202122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201001012120191 and 201001012120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001012120213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2076429789 + ... + 2076526587.

It is an arithmetic number, because the mean of its divisors is an integer number (4936817424000).

Almost surely, 2201001012120212 is an apocalyptic number.

It is an amenable number.

201001012120212 is an abundant number, since it is smaller than the sum of its proper divisors (272933460583788).

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

201001012120212 is a wasteful number, since it uses less digits than its factorization.

201001012120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101037 (or 101035 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201001012120212 its reverse (212021210100102), we get a palindrome (413022222220314).

The spelling of 201001012120212 in words is "two hundred one trillion, one billion, twelve million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 139 278 331 417 556 662 834 993 1324 1668 1986 3761 3972 7522 11283 15044 22566 45132 46009 92018 96799 138027 184036 193598 276054 290397 387196 522779 552108 580794 1045558 1161588 1244891 1568337 2091116 2489782 3136674 3734673 4979564 6273348 7469346 13455061 14938692 26910122 32040469 40365183 53820244 64080938 80730366 96121407 128161876 161460732 173039849 192242814 346079698 364061039 384485628 519119547 692159396 728122078 1038239094 1092183117 1456244156 2076478188 2184366234 4368732468 4453625191 8907250382 13360875573 17814500764 26721751146 50604484421 53443502292 101208968842 120504203909 151813453263 202417937684 241008407818 303626906526 361512611727 482016815636 607253813052 723025223454 1446050446908 16750084343351 33500168686702 50250253030053 67000337373404 100500506060106 201001012120212