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12343314020 = 22531971671229
BaseRepresentation
bin10110111111011100…
…00000011001100100
31011212020010022122112
423133232000121210
5200234342022040
65400452020152
7614610303152
oct133756003144
934766108575
1012343314020
11526452a574
122485901658
13121931970b
148514683d2
154c3988365
hex2dfb80664

12343314020 has 96 divisors (see below), whose sum is σ = 27216967680. Its totient is φ = 4696657920.

The previous prime is 12343314019. The next prime is 12343314037. The reversal of 12343314020 is 2041334321.

12343314020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10042766 + ... + 10043994.

It is an arithmetic number, because the mean of its divisors is an integer number (283510080).

Almost surely, 212343314020 is an apocalyptic number.

12343314020 is a gapful number since it is divisible by the number (10) 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 12343314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608483840).

12343314020 is an abundant number, since it is smaller than the sum of its proper divisors (14873653660).

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

12343314020 is a wasteful number, since it uses less digits than its factorization.

12343314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12343314020 its reverse (2041334321), we get a palindrome (14384648341).

The spelling of 12343314020 in words is "twelve billion, three hundred forty-three million, three hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 97 124 155 167 194 310 334 388 485 620 668 835 970 1229 1670 1940 2458 3007 3340 4916 5177 6014 6145 10354 12028 12290 15035 16199 20708 24580 25885 30070 32398 38099 51770 60140 64796 76198 80995 103540 119213 152396 161990 190495 205243 238426 323980 380990 410486 476852 502169 596065 761980 820972 1004338 1026215 1192130 2008676 2052430 2384260 2510845 3695603 4104860 5021690 6362533 7391206 10043380 12725066 14782412 18478015 19908571 25450132 31812665 36956030 39817142 63625330 73912060 79634284 99542855 127250660 199085710 398171420 617165701 1234331402 2468662804 3085828505 6171657010 12343314020