Search a number
-
+
211131033113 = 71113412271463
BaseRepresentation
bin1100010010100001100…
…0111110011000011001
3202011222002021202101002
43010220120332120121
511424344021024423
6240554154434345
721153011112410
oct3045030763031
9664862252332
10211131033113
11815a3a67120
1234b034329b5
1316ba94345c0
14a30c540477
15575a798228
hex312863e619

211131033113 has 96 divisors (see below), whose sum is σ = 292261380096. Its totient is φ = 147292992000.

The previous prime is 211131033077. The next prime is 211131033119. The reversal of 211131033113 is 311330131112.

It is not a de Polignac number, because 211131033113 - 26 = 211131033049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211131033119) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 456006320 + ... + 456006782.

It is an arithmetic number, because the mean of its divisors is an integer number (3044389376).

Almost surely, 2211131033113 is an apocalyptic number.

It is an amenable number.

211131033113 is a deficient number, since it is larger than the sum of its proper divisors (81130346983).

211131033113 is a wasteful number, since it uses less digits than its factorization.

211131033113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 211131033113 its reverse (311330131112), we get a palindrome (522461164225).

The spelling of 211131033113 in words is "two hundred eleven billion, one hundred thirty-one million, thirty-three thousand, one hundred thirteen".

Divisors: 1 7 11 13 41 77 91 143 271 287 451 463 533 1001 1681 1897 2981 3157 3241 3523 3731 5093 5863 6019 11111 11767 18491 18983 20867 21853 24661 35651 38753 41041 42133 66209 77777 122221 125473 129437 132881 144443 152971 208813 240383 246779 271271 455551 463463 778303 855547 878311 1011101 1380203 1461691 1588873 1631149 1682681 1727453 2714569 3188857 5011061 5144393 5448121 5922163 8561333 9661421 10117939 11122111 11418043 17942639 19001983 35077427 36010751 41455141 56588323 59929331 65143793 66877109 70825573 111297329 125598473 210920113 396118261 456006551 468139763 735648199 779081303 1476440791 2320121243 2741961469 5149537393 16240848701 19193730283 30161576159 211131033113