Search a number
-
+
20000201022 = 23643595407
BaseRepresentation
bin10010101000000110…
…101101100100111110
31220121211220111000000
4102220012231210332
5311430022413042
613104333415130
71305423621654
oct225006554476
956554814000
1020000201022
11853365705a
123a6203a4a6
131b69748299
14d7a338dd4
157c0caa74c
hex4a81ad93e

20000201022 has 112 divisors (see below), whose sum is σ = 46814676480. Its totient is φ = 6400141776.

The previous prime is 20000201017. The next prime is 20000201051. The reversal of 20000201022 is 22010200002.

20000201022 is digitally balanced in base 5, 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 20000200995 and 20000201013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3696243 + ... + 3701649.

Almost surely, 220000201022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20000201022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23407338240).

20000201022 is an abundant number, since it is smaller than the sum of its proper divisors (26814475458).

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

20000201022 is an equidigital number, since it uses as much as digits as its factorization.

20000201022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20000201022 its reverse (22010200002), we get a palindrome (42010401024).

The spelling of 20000201022 in words is "twenty billion, two hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 59 81 86 118 129 162 177 243 258 354 387 486 531 729 774 1062 1161 1458 1593 2322 2537 3186 3483 4779 5074 5407 6966 7611 9558 10449 10814 14337 15222 16221 20898 22833 28674 31347 32442 43011 45666 48663 62694 68499 86022 97326 136998 145989 205497 232501 291978 319013 410994 437967 465002 616491 638026 697503 875934 957039 1232982 1313901 1395006 1849473 1914078 2092509 2627802 2871117 3698946 3941703 4185018 5742234 6277527 7883406 8613351 12555054 13717559 17226702 18832581 25840053 27435118 37665162 41152677 51680106 56497743 77520159 82305354 112995486 123458031 155040318 169493229 232560477 246916062 338986458 370374093 465120954 740748186 1111122279 2222244558 3333366837 6666733674 10000100511 20000201022