Search a number
-
+
20211301782 = 23274317321563
BaseRepresentation
bin10010110100101011…
…111111110110010110
31221011120010111210200
4102310223333312112
5312343043124112
613141314201330
71313566142040
oct226453776626
957146114720
1020211301782
1186318311a1
123b00883246
131ba13bb189
14d9a3aaa90
157d45a8cdc
hex4b4affd96

20211301782 has 96 divisors (see below), whose sum is σ = 51509323008. Its totient is φ = 5607499968.

The previous prime is 20211301771. The next prime is 20211301861. The reversal of 20211301782 is 28710311202.

It is a congruent number.

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, 926533 + ... + 948095.

It is an arithmetic number, because the mean of its divisors is an integer number (536555448).

Almost surely, 220211301782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211301782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25754661504).

20211301782 is an abundant number, since it is smaller than the sum of its proper divisors (31298021226).

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

20211301782 is a wasteful number, since it uses less digits than its factorization.

20211301782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21794 (or 21791 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 20211301782 its reverse (28710311202), we get a palindrome (48921612984).

The spelling of 20211301782 in words is "twenty billion, two hundred eleven million, three hundred one thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 173 258 301 346 387 519 602 774 903 1038 1211 1557 1806 2422 2709 3114 3633 5418 7266 7439 10899 14878 21563 21798 22317 43126 44634 52073 64689 66951 104146 129378 133902 150941 156219 194067 301882 312438 388134 452823 468657 905646 927209 937314 1358469 1854418 2716938 2781627 3730399 5563254 6490463 7460798 8344881 11191197 12980926 16689762 19471389 22382394 26112793 33573591 38942778 52225586 58414167 67147182 78338379 116828334 156676758 160407157 235015137 320814314 470030274 481221471 962442942 1122850099 1443664413 2245700198 2887328826 3368550297 6737100594 10105650891 20211301782