Search a number
-
+
205105230231 = 31117241677829
BaseRepresentation
bin1011111100000100111…
…0010111000110010111
3201121102010200020210120
42333001032113012113
511330023414331411
6234120220523023
720550461456106
oct2770116270627
9647363606716
10205105230231
1179a91612240
12339013b0473
1316458c03075
149cda13603d
155506765106
hex2fc1397197

205105230231 has 96 divisors (see below), whose sum is σ = 329533505280. Its totient is φ = 112422604800.

The previous prime is 205105230217. The next prime is 205105230241. The reversal of 205105230231 is 132032501502.

It is a happy number.

It is not a de Polignac number, because 205105230231 - 27 = 205105230103 is a prime.

It is a super-2 number, since 2×2051052302312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205105230241) 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, 26194225 + ... + 26202053.

It is an arithmetic number, because the mean of its divisors is an integer number (3432640680).

Almost surely, 2205105230231 is an apocalyptic number.

205105230231 is a deficient number, since it is larger than the sum of its proper divisors (124428275049).

205105230231 is a wasteful number, since it uses less digits than its factorization.

205105230231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7985 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 205105230231 its reverse (132032501502), we get a palindrome (337137731733).

The spelling of 205105230231 in words is "two hundred five billion, one hundred five million, two hundred thirty thousand, two hundred thirty-one".

Divisors: 1 3 11 17 33 41 51 67 123 187 201 289 451 561 697 737 867 1139 1353 2091 2211 2747 3179 3417 7667 7829 8241 9537 11849 12529 19363 23001 23487 30217 35547 37587 46699 58089 86119 90651 130339 133093 140097 212993 258357 320989 391017 399279 513689 524543 638979 793883 962967 1464023 1541067 1573629 2262581 2381649 3530879 4392069 5456813 5769973 6787743 8732713 8917231 10592637 16370439 17309919 21506263 24888391 26198139 26751693 60024943 64518789 74665173 92765821 98089541 151592927 180074829 236568893 278297463 294268623 365606471 454778781 709706679 1020424031 1096819413 1667522197 3061272093 4021671181 5002566591 6215310007 12065013543 18645930021 68368410077 205105230231