Search a number
-
+
213110312304340 = 225118980913453747
BaseRepresentation
bin110000011101001010011100…
…011101100111111011010100
31000221120010222002012021020101
4300131022130131213323110
5210413044404422214330
62033125305333343444
762613466130234023
oct6035123435477324
91027503862167211
10213110312304340
11619a3637581010
121ba9a258497b84
1391bb2a705c659
143a8a8464c68ba
15199874ce5d4ca
hexc1d29c767ed4

213110312304340 has 96 divisors (see below), whose sum is σ = 494312227516800. Its totient is φ = 76529212446720.

The previous prime is 213110312304293. The next prime is 213110312304397. The reversal of 213110312304340 is 43403213011312.

It is a junction number, because it is equal to n+sod(n) for n = 213110312304299 and 213110312304308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9113347 + ... + 22567093.

It is an arithmetic number, because the mean of its divisors is an integer number (5149085703300).

Almost surely, 2213110312304340 is an apocalyptic number.

213110312304340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213110312304340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247156113758400).

213110312304340 is an abundant number, since it is smaller than the sum of its proper divisors (281201915212460).

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

213110312304340 is a wasteful number, since it uses less digits than its factorization.

213110312304340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13454665 (or 13454663 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 213110312304340 its reverse (43403213011312), we get a palindrome (256513525315652).

The spelling of 213110312304340 in words is "two hundred thirteen trillion, one hundred ten billion, three hundred twelve million, three hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 809 890 979 1618 1780 1958 3236 3916 4045 4895 8090 8899 9790 16180 17798 19580 35596 44495 72001 88990 144002 177980 288004 360005 720010 792011 1440020 1584022 3168044 3960055 7920110 13453747 15840220 26907494 53814988 67268735 134537470 147991217 269074940 295982434 591964868 739956085 1197383483 1479912170 2394766966 2959824340 4789533932 5986917415 10884081323 11973834830 13171218313 21768162646 23947669660 26342436626 43536325292 52684873252 54420406615 65856091565 108840813230 119724894553 131712183130 217681626460 239449789106 263424366260 478899578212 598624472765 968683237747 1197248945530 1937366475494 2394497891060 3874732950988 4843416188735 9686832377470 10655515615217 19373664754940 21311031230434 42622062460868 53277578076085 106555156152170 213110312304340