Search a number
-
+
212200212200004 = 2232731263103282759
BaseRepresentation
bin110000001111111010110110…
…010001001111101001000100
31000211100010211122021201112200
4300033322312101033221010
5210303142013310400004
62031151233125514500
762460650035053120
oct6017726621175104
91024303748251480
10212200212200004
1161682671814356
121b9719a5872a30
139153517c36c62
143a5878b960580
15197ec33d9d239
hexc0feb644fa44

212200212200004 has 144 divisors (see below), whose sum is σ = 635203846717440. Its totient is φ = 58449778407360.

The previous prime is 212200212199967. The next prime is 212200212200057. The reversal of 212200212200004 is 400002212002212.

212200212200004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 212200212200004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49586824 + ... + 53695935.

Almost surely, 2212200212200004 is an apocalyptic number.

It is an amenable number.

212200212200004 is an abundant number, since it is smaller than the sum of its proper divisors (423003634517436).

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

212200212200004 is a wasteful number, since it uses less digits than its factorization.

212200212200004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103283070 (or 103283065 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212200212200004 its reverse (400002212002212), we get a palindrome (612202424202216).

The spelling of 212200212200004 in words is "two hundred twelve trillion, two hundred billion, two hundred twelve million, two hundred thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 263 279 372 434 526 558 651 789 868 1052 1116 1302 1578 1841 1953 2367 2604 3156 3682 3906 4734 5523 7364 7812 8153 9468 11046 16306 16569 22092 24459 32612 33138 48918 57071 66276 73377 97836 114142 146754 171213 228284 293508 342426 513639 684852 1027278 2054556 103282759 206565518 309848277 413131036 619696554 722979313 929544831 1239393108 1445958626 1859089662 2168937939 2891917252 3201765529 3718179324 4337875878 6403531058 6506813817 8675751756 9605296587 12807062116 13013627634 19210593174 22412358703 26027255268 27163365617 28815889761 38421186348 44824717406 54326731234 57631779522 67237076109 81490096851 89649434812 108653462468 115263559044 134474152218 162980193702 190143559319 201711228327 244470290553 268948304436 325960387404 380287118638 403422456654 488940581106 570430677957 760574237276 806844913308 842064334127 977881162212 1140861355914 1684128668254 1711292033871 2281722711828 2526193002381 3368257336508 3422584067742 5052386004762 5894450338889 6845168135484 7578579007143 10104772009524 11788900677778 15157158014286 17683351016667 23577801355556 30314316028572 35366702033334 53050053050001 70733404066668 106100106100002 212200212200004