Search a number
-
+
21071823327 = 3419103307433
BaseRepresentation
bin10011100111111110…
…101000000111011111
32000101112100112110000
4103213332220013133
5321123341321302
613402534145343
71344115354152
oct234776500737
960345315400
1021071823327
118a33549825
124100ab2253
131caa771519
14103c7abc99
15834dd831c
hex4e7fa81df

21071823327 has 80 divisors (see below), whose sum is σ = 33642568960. Its totient is φ = 13106043648.

The previous prime is 21071823301. The next prime is 21071823337. The reversal of 21071823327 is 72332817012.

It is not a de Polignac number, because 21071823327 - 223 = 21063434719 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21071823291 and 21071823300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21071823337) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48664503 + ... + 48664935.

It is an arithmetic number, because the mean of its divisors is an integer number (420532112).

Almost surely, 221071823327 is an apocalyptic number.

21071823327 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

21071823327 is a deficient number, since it is larger than the sum of its proper divisors (12570745633).

21071823327 is a wasteful number, since it uses less digits than its factorization.

21071823327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 21071823327 in words is "twenty-one billion, seventy-one million, eight hundred twenty-three thousand, three hundred twenty-seven".

Divisors: 1 3 9 19 27 57 81 103 171 307 309 433 513 921 927 1299 1539 1957 2763 2781 3897 5833 5871 8227 8289 8343 11691 17499 17613 24681 24867 31621 35073 44599 52497 52839 74043 94863 132931 133797 157491 158517 222129 284589 398793 401391 472473 600799 666387 847381 853767 1196379 1204173 1802397 2525689 2542143 2561301 3589137 3612519 5407191 7577067 7626429 10767411 13691893 16221573 22731201 22879287 41075679 48664719 68193603 68637861 123227037 204580809 260145967 369681111 780437901 1109043333 2341313703 7023941109 21071823327