Search a number
-
+
20121021100212 = 22334969122673067
BaseRepresentation
bin1001001001100110010100…
…10100001011000010110100
32122020112212120000101022120
410210303022110023002310
510114130322400201322
6110443245224155540
74144460442265554
oct444631224130264
978215776011276
1020121021100212
11645830594792a
12230b709308bb0
13b2c533bb53c6
144d7c11045164
1524d5d97d9a5c
hex124cca50b0b4

20121021100212 has 96 divisors (see below), whose sum is σ = 47187891878400. Its totient is φ = 6672988586880.

The previous prime is 20121021100183. The next prime is 20121021100237. The reversal of 20121021100212 is 21200112012102.

It is a junction number, because it is equal to n+sod(n) for n = 20121021100191 and 20121021100200.

It is a congruent number.

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, 6560487903 + ... + 6560490969.

It is an arithmetic number, because the mean of its divisors is an integer number (491540540400).

Almost surely, 220121021100212 is an apocalyptic number.

It is an amenable number.

20121021100212 is an abundant number, since it is smaller than the sum of its proper divisors (27066870778188).

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

20121021100212 is a wasteful number, since it uses less digits than its factorization.

20121021100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6381 (or 6379 counting only the distinct ones).

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

Adding to 20121021100212 its reverse (21200112012102), we get a palindrome (41321133112314).

The spelling of 20121021100212 in words is "twenty trillion, one hundred twenty-one billion, twenty-one million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 349 691 698 1047 1382 1396 2073 2094 2267 2764 3067 4146 4188 4534 6134 6801 8292 9068 9201 12268 13602 18402 27204 36804 241159 482318 723477 791183 964636 1070383 1446954 1566497 1582366 2119297 2140766 2373549 2893908 3132994 3164732 3211149 4238594 4281532 4699491 4747098 6265988 6357891 6422298 6952889 8477188 9398982 9494196 12715782 12844596 13905778 18797964 20858667 25431564 27811556 41717334 83434668 546707453 739634653 1093414906 1479269306 1640122359 2186829812 2218903959 2426558261 2958538612 3280244718 4437807918 4804446299 4853116522 6560489436 7279674783 8875615836 9608892598 9706233044 14413338897 14559349566 19217785196 28826677794 29118699132 57653355588 1676751758351 3353503516702 5030255275053 6707007033404 10060510550106 20121021100212