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21200022020205 = 3257234336757873
BaseRepresentation
bin1001101001000000000111…
…10010000010000001101101
32210001200221222121100200100
410310200003302002001231
510234320121114121310
6113031053342421313
74315436210626530
oct464400362020155
983050858540610
1021200022020205
116833973824246
122464858591839
13baa1cc30b542
1453412d678a17
1526b6db970ec0
hex134803c8206d

21200022020205 has 96 divisors (see below), whose sum is σ = 43923369724416. Its totient is φ = 9248661430272.

The previous prime is 21200022020189. The next prime is 21200022020209. The reversal of 21200022020205 is 50202022000212.

21200022020205 is a `hidden beast` number, since 21 + 200 + 0 + 220 + 20 + 205 = 666.

It is not a de Polignac number, because 21200022020205 - 24 = 21200022020189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200022020209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241852 + ... + 6516021.

It is an arithmetic number, because the mean of its divisors is an integer number (457535101296).

Almost surely, 221200022020205 is an apocalyptic number.

It is an amenable number.

21200022020205 is an abundant number, since it is smaller than the sum of its proper divisors (22723347704211).

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

21200022020205 is a wasteful number, since it uses less digits than its factorization.

21200022020205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758347 (or 6758344 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 21200022020205 its reverse (50202022000212), we get a palindrome (71402044020417).

The spelling of 21200022020205 in words is "twenty-one trillion, two hundred billion, twenty-two million, twenty thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 433 483 805 1035 1299 1449 2165 2415 3031 3897 6495 7245 9093 9959 15155 19485 27279 29877 45465 49795 69713 89631 136395 149385 209139 348565 448155 627417 1045695 3137085 6757873 20273619 33789365 47305111 60820857 101368095 141915333 155431079 236525555 304104285 425745999 466293237 709576665 777155395 1088017553 1398879711 2128729995 2331466185 2926159009 3264052659 5440087765 6994398555 8778477027 9792157977 14630795045 16320263295 20483113063 26335431081 43892385135 48960789885 61449339189 67301657207 102415565315 131677155405 184348017567 201904971621 307246695945 336508286035 471111600449 605714914863 921740087835 1009524858105 1413334801347 2355558002245 3028574574315 4240004404041 7066674006735 21200022020205