Search a number
-
+
20301302013210 = 23251297317387653
BaseRepresentation
bin1001001110110110000111…
…11001010001110100011010
32122212210012122100122202100
410213123003321101310122
510130104031303410320
6111102142301544230
74163502121621161
oct447330371216432
978783178318670
1020301302013210
116517808807109
12233a640b75076
13b43534aa3a5a
145028342863d8
1525313b9d1790
hex1276c3e51d1a

20301302013210 has 48 divisors (see below), whose sum is σ = 52787456981064. Its totient is φ = 5413262921856.

The previous prime is 20301302013163. The next prime is 20301302013227. The reversal of 20301302013210 is 1231020310302.

20301302013210 is a `hidden beast` number, since 20 + 301 + 3 + 0 + 20 + 1 + 321 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5816571827049 + 14484730186161 = 2411757^2 + 3805881^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7526257 + ... + 9861396.

Almost surely, 220301302013210 is an apocalyptic number.

20301302013210 is an abundant number, since it is smaller than the sum of its proper divisors (32486154967854).

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

20301302013210 is a wasteful number, since it uses less digits than its factorization.

20301302013210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17400639 (or 17400636 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20301302013210 its reverse (1231020310302), we get a palindrome (21532322323512).

The spelling of 20301302013210 in words is "twenty trillion, three hundred one billion, three hundred two million, thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 12973 25946 38919 64865 77838 116757 129730 194595 233514 389190 583785 1167570 17387653 34775306 52162959 86938265 104325918 156488877 173876530 260814795 312977754 521629590 782444385 1564888770 225570022369 451140044738 676710067107 1127850111845 1353420134214 2030130201321 2255700223690 3383550335535 4060260402642 6767100671070 10150651006605 20301302013210