Search a number
-
+
31211113131 = 33113153167383
BaseRepresentation
bin11101000100010100…
…111100101010101011
32222120011012211021000
4131010110330222223
51002410021110011
622201014250043
72153304040632
oct350424745253
988504184230
1031211113131
1112266950280
126070656923
132c3527a9a3
14172122c519
15c2a10c356
hex74453caab

31211113131 has 128 divisors (see below), whose sum is σ = 53508833280. Its totient is φ = 17806089600.

The previous prime is 31211113121. The next prime is 31211113159. The reversal of 31211113131 is 13131111213.

It is a de Polignac number, because none of the positive numbers 2k-31211113131 is a prime.

It is a super-2 number, since 2×312111131312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31211113111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81490966 + ... + 81491348.

It is an arithmetic number, because the mean of its divisors is an integer number (418037760).

Almost surely, 231211113131 is an apocalyptic number.

31211113131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31211113131 is a deficient number, since it is larger than the sum of its proper divisors (22297720149).

31211113131 is a wasteful number, since it uses less digits than its factorization.

31211113131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 31211113131 its reverse (13131111213), we get a palindrome (44342224344).

The spelling of 31211113131 in words is "thirty-one billion, two hundred eleven million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 31 33 53 93 99 159 167 279 297 341 383 477 501 583 837 1023 1149 1431 1503 1643 1749 1837 3069 3447 4213 4509 4929 5177 5247 5511 8851 9207 10341 11873 12639 14787 15531 15741 16533 18073 20299 26553 35619 37917 44361 46593 49599 54219 56947 60897 63961 79659 97361 106857 113751 130603 139779 162657 170841 182691 191883 223289 238977 274381 292083 320571 391809 487971 512523 548073 575649 629269 669867 703571 823143 876249 1175427 1537569 1726947 1887807 1982791 2009601 2110713 2469429 2628747 3018191 3389933 3526281 5663421 5948373 6028803 6332139 6921959 7408287 9054573 10169799 16990263 17845119 18996417 20765877 21810701 27163719 30509397 37289263 53535357 62297631 65432103 81491157 91528191 105087923 111867789 186892893 196296309 315263769 335603367 588888927 945791307 1006810101 1155967153 2837373921 3467901459 10403704377 31211113131