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12313320111444 = 223111730111822391
BaseRepresentation
bin1011001100101110101100…
…0100100011110101010100
31121121010211110010220100110
42303023223010203311110
53103220134422031234
642104354451243020
72410415360014122
oct263135304436524
947533743126313
1012313320111444
113a18060216a70
12146a4a1ba9470
136b41ab010031
14307d79bb6912
1516546ebb41e9
hexb32eb123d54

12313320111444 has 96 divisors (see below), whose sum is σ = 33197742369792. Its totient is φ = 3510652096000.

The previous prime is 12313320111439. The next prime is 12313320111481. The reversal of 12313320111444 is 44411102331321.

12313320111444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5845489 + ... + 7667879.

It is an arithmetic number, because the mean of its divisors is an integer number (345809816352).

Almost surely, 212313320111444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313320111444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16598871184896).

12313320111444 is an abundant number, since it is smaller than the sum of its proper divisors (20884422258348).

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

12313320111444 is a wasteful number, since it uses less digits than its factorization.

12313320111444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825437 (or 1825435 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 12313320111444 its reverse (44411102331321), we get a palindrome (56724422442765).

The spelling of 12313320111444 in words is "twelve trillion, three hundred thirteen billion, three hundred twenty million, one hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 3011 6022 9033 12044 18066 33121 36132 51187 66242 99363 102374 132484 153561 198726 204748 307122 397452 563057 614244 1126114 1689171 1822391 2252228 3378342 3644782 5467173 6756684 7289564 10934346 20046301 21868692 30980647 40092602 60138903 61961294 80185204 92941941 120277806 123922588 185883882 240555612 340787117 371767764 681574234 1022361351 1363148468 2044722702 4089445404 5487219301 10974438602 16461657903 21948877204 32923315806 60359412311 65846631612 93282728117 120718824622 181078236933 186565456234 241437649244 279848184351 362156473866 373130912468 559696368702 724312947732 1026110009287 1119392737404 2052220018574 3078330027861 4104440037148 6156660055722 12313320111444