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213313003223210 = 251123723332042281
BaseRepresentation
bin110000100000000111001101…
…110010000111100010101010
31000222021112010221220210110122
4300200013031302013202222
5210424410012311120320
62033402350231243242
762634233034512402
oct6040071562074252
91028245127823418
10213313003223210
1161a7159a296400
121bb115a5219522
139204439a059c7
143a96593b15802
15199db62771d25
hexc201cdc878aa

213313003223210 has 96 divisors (see below), whose sum is σ = 433634975894736. Its totient is φ = 75439535846400.

The previous prime is 213313003223189. The next prime is 213313003223219. The reversal of 213313003223210 is 12322300313312.

It can be written as a sum of positive squares in 8 ways, for example, as 44535775761169 + 168777227462041 = 6673513^2 + 12991429^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213313003223210.

It is not an unprimeable number, because it can be changed into a prime (213313003223219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103427270 + ... + 105469550.

Almost surely, 2213313003223210 is an apocalyptic number.

213313003223210 is an abundant number, since it is smaller than the sum of its proper divisors (220321972671526).

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

213313003223210 is a wasteful number, since it uses less digits than its factorization.

213313003223210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044680 (or 2044669 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 213313003223210 its reverse (12322300313312), we get a palindrome (225635303536522).

The spelling of 213313003223210 in words is "two hundred thirteen trillion, three hundred thirteen billion, three million, two hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 5 10 11 22 37 55 74 110 121 185 242 370 407 605 814 1210 2035 2333 4070 4477 4666 8954 11665 22385 23330 25663 44770 51326 86321 128315 172642 256630 282293 431605 564586 863210 949531 1411465 1899062 2042281 2822930 4084562 4747655 9495310 10211405 10444841 20422810 20889682 22465091 44930182 52224205 75564397 104448410 112325455 151128794 224650910 247116001 377821985 494232002 755643970 831208367 1235580005 1662416734 2471160010 4156041835 4764641573 8312083670 9143292037 9529283146 18286584074 23823207865 45716460185 47646415730 52411057303 91432920370 104822114606 176291738201 262055286515 352583476402 524110573030 576521630333 881458691005 1153043260666 1762917382010 1939209120211 2882608151665 3878418240422 5765216303330 9696045601055 19392091202110 21331300322321 42662600644642 106656501611605 213313003223210