Search a number
-
+
21200220010002 = 23111917219823403
BaseRepresentation
bin1001101001000000011111…
…00101010011011000010010
32210001201110210011021121210
410310200033211103120102
510234321022310310002
6113031125134200550
74315444133542335
oct464401745233022
983051423137553
1021200220010002
116833a65563980
1224648b2953156
13baa231340877
1453414ba9661c
1526b6ee02e96c
hex13480f953612

21200220010002 has 64 divisors (see below), whose sum is σ = 48717796861440. Its totient is φ = 6082650518400.

The previous prime is 21200220009973. The next prime is 21200220010027. The reversal of 21200220010002 is 20001002200212.

It is a self number, because there is not a number n which added to its sum of digits gives 21200220010002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2753568 + ... + 7069835.

It is an arithmetic number, because the mean of its divisors is an integer number (761215575960).

Almost surely, 221200220010002 is an apocalyptic number.

21200220010002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21200220010002 is an abundant number, since it is smaller than the sum of its proper divisors (27517576851438).

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

21200220010002 is a wasteful number, since it uses less digits than its factorization.

21200220010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9825159.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21200220010002 its reverse (20001002200212), we get a palindrome (41201222210214).

The spelling of 21200220010002 in words is "twenty-one trillion, two hundred billion, two hundred twenty million, ten thousand, two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 1721 3442 5163 10326 18931 32699 37862 56793 65398 98097 113586 196194 359689 719378 1079067 2158134 9823403 19646806 29470209 58940418 108057433 186644657 216114866 324172299 373289314 559933971 648344598 1119867942 2053091227 4106182454 6159273681 12318547362 16906076563 33812153126 50718229689 101436459378 185966842193 321215454697 371933684386 557900526579 642430909394 963646364091 1115801053158 1927292728182 3533370001667 7066740003334 10600110005001 21200220010002