Search a number
-
+
235315245011 = 7311273101769
BaseRepresentation
bin1101101100100111100…
…0011010111111010011
3211111101112011000021212
43123021320122333103
512323411200320021
6300034034210335
723000221403000
oct3331170327723
9744345130255
10235315245011
1190884359500
12397327239ab
131926194a962
14b56440c8a7
1561c3a2585b
hex36c9e1afd3

235315245011 has 96 divisors (see below), whose sum is σ = 309196272000. Its totient is φ = 178827264000.

The previous prime is 235315244971. The next prime is 235315245023. The reversal of 235315245011 is 110542513532.

It is not a de Polignac number, because 235315245011 - 226 = 235248136147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (235315245041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306001235 + ... + 306002003.

It is an arithmetic number, because the mean of its divisors is an integer number (3220794500).

Almost surely, 2235315245011 is an apocalyptic number.

235315245011 is a deficient number, since it is larger than the sum of its proper divisors (73881026989).

235315245011 is a wasteful number, since it uses less digits than its factorization.

235315245011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 235315245011 its reverse (110542513532), we get a palindrome (345857758543).

The spelling of 235315245011 in words is "two hundred thirty-five billion, three hundred fifteen million, two hundred forty-five thousand, eleven".

Divisors: 1 7 11 49 73 77 101 121 343 511 539 707 769 803 847 1111 3577 3773 4949 5383 5621 5929 7373 7777 8459 8833 12221 25039 34643 37681 39347 41503 51611 54439 56137 59213 61831 77669 81103 85547 93049 263767 275429 361277 381073 392959 414491 432817 543683 567721 598829 617507 651343 854359 892133 2528939 2750713 2901437 3029719 3805781 3974047 4191803 4322549 4559401 5669837 5980513 6244931 6792577 9397949 19254991 26640467 27818329 30257843 31915807 39688859 41863591 43714517 47548039 62368207 65785643 211804901 277822013 293045137 306001619 332836273 436577449 460499501 686050277 1944754091 2329853911 3056042143 3223496507 4802351939 21392295001 33616463573 235315245011