Search a number
-
+
10232122201132 = 221319210337913963
BaseRepresentation
bin1001010011100101101000…
…0000100101010000101100
31100020011220012002211100211
42110321122000211100230
52320120341240414012
633432323321232204
72104150345451416
oct224713200452054
940204805084324
1010232122201132
113295467260387
121193079032664
13592b674018b0
142753474439b6
1512b2634916a7
hex94e5a02542c

10232122201132 has 144 divisors (see below), whose sum is σ = 20605247120640. Its totient is φ = 4418521301376.

The previous prime is 10232122201117. The next prime is 10232122201141. The reversal of 10232122201132 is 23110222123201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732795583 + ... + 732809545.

Almost surely, 210232122201132 is an apocalyptic number.

It is an amenable number.

10232122201132 is an abundant number, since it is smaller than the sum of its proper divisors (10373124919508).

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

10232122201132 is a wasteful number, since it uses less digits than its factorization.

10232122201132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14500 (or 14479 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10232122201132 its reverse (23110222123201), we get a palindrome (33342344324333).

The spelling of 10232122201132 in words is "ten trillion, two hundred thirty-two billion, one hundred twenty-two million, two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 4 13 19 26 38 52 76 103 206 247 361 379 412 494 722 758 988 1339 1444 1516 1957 2678 3914 4693 4927 5356 7201 7828 9386 9854 13963 14402 18772 19708 25441 27926 28804 37183 39037 50882 55852 74366 78074 93613 101764 136819 148732 156148 181519 187226 265297 273638 363038 374452 483379 507481 530594 547276 726076 741703 966758 1014962 1061188 1438189 1483406 1778647 1933516 2029924 2876378 2966812 3448861 3557294 5040643 5291977 5752756 6897722 7114588 9642139 10081286 10583954 13795444 14092357 18696457 19284278 20162572 21167908 27325591 28184714 37392914 38568556 54651182 56369428 65528359 68795701 74785828 100547563 109302364 131056718 137591402 183200641 201095126 262113436 275182804 355232683 366401282 402190252 519186229 545073631 710465366 732802564 1038372458 1090147262 1307118319 1420930732 1910403697 2076744916 2180294524 2614236638 3820807394 5228473276 6749420977 7085957203 7641614788 10356398989 13498841954 14171914406 20712797978 24835248061 26997683908 28343828812 41425595956 49670496122 99340992244 134633186857 196771580791 269266373714 393543161582 538532747428 787086323164 2558030550283 5116061100566 10232122201132