Search a number
-
+
21210022020222 = 23271012459677783
BaseRepresentation
bin1001101001010010101111…
…10101000000010001111110
32210002122202220100222211100
410310221113311000101332
510240001111114121342
6113035425525233530
74316242055341530
oct464512765002176
983078686328740
1021210022020222
116838135539272
1224667895628a6
13bab133cc8a09
145347db7db850
1526bac482de4c
hex134a57d4047e

21210022020222 has 96 divisors (see below), whose sum is σ = 53061703119360. Its totient is φ = 5997557361600.

The previous prime is 21210022020163. The next prime is 21210022020233. The reversal of 21210022020222 is 22202022001212.

21210022020222 is a `hidden beast` number, since 212 + 10 + 0 + 220 + 2 + 0 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21210022020195 and 21210022020204.

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, 30954343 + ... + 31632125.

It is an arithmetic number, because the mean of its divisors is an integer number (552726074160).

Almost surely, 221210022020222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210022020222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26530851559680).

21210022020222 is an abundant number, since it is smaller than the sum of its proper divisors (31851681099138).

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

21210022020222 is a wasteful number, since it uses less digits than its factorization.

21210022020222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680358 (or 680355 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21210022020222 its reverse (22202022001212), we get a palindrome (43412044021434).

The spelling of 21210022020222 in words is "twenty-one trillion, two hundred ten billion, twenty-two million, twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 2459 4242 4918 6363 7377 12726 14754 17213 22131 34426 44262 51639 103278 154917 248359 309834 496718 677783 745077 1355566 1490154 1738513 2033349 2235231 3477026 4066698 4470462 4744481 5215539 6100047 9488962 10431078 12200094 14233443 15646617 28466886 31293234 42700329 68456083 85400658 136912166 205368249 410736498 479192581 616104747 958385162 1232209494 1437577743 1666668397 2875155486 3333336794 4312733229 5000005191 8625466458 10000010382 11666678779 15000015573 23333357558 30000031146 35000036337 70000072674 105000109011 168333508097 210000218022 336667016194 505000524291 1010001048582 1178334556679 1515001572873 2356669113358 3030003145746 3535003670037 7070007340074 10605011010111 21210022020222