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12013233102300 = 223521931213171049
BaseRepresentation
bin1010111011010000110001…
…1111011101110111011100
31120112110020212111100111110
42232310030133131313130
53033311100133233200
641314445245222020
72346633054353463
oct256641437356734
946473225440443
1012013233102300
1139118689a1491
1214202b3561910
13691ac6168931
142d762d2a59da
1515c759a69b50
hexaed0c7ddddc

12013233102300 has 144 divisors (see below), whose sum is σ = 34967390242400. Its totient is φ = 3184284303360.

The previous prime is 12013233102293. The next prime is 12013233102337. The reversal of 12013233102300 is 320133231021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70147176 + ... + 70318224.

Almost surely, 212013233102300 is an apocalyptic number.

12013233102300 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 12013233102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17483695121200).

12013233102300 is an abundant number, since it is smaller than the sum of its proper divisors (22954157140100).

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

12013233102300 is a wasteful number, since it uses less digits than its factorization.

12013233102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172472 (or 172465 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12013233102300 its reverse (320133231021), we get a palindrome (12333366333321).

The spelling of 12013233102300 in words is "twelve trillion, thirteen billion, two hundred thirty-three million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 193 300 386 579 772 965 1158 1213 1930 2316 2426 2895 3639 3860 4825 4852 5790 6065 7278 9650 11580 12130 14475 14556 18195 19300 24260 28950 30325 36390 57900 60650 72780 90975 121300 171049 181950 234109 342098 363900 468218 513147 684196 702327 855245 936436 1026294 1170545 1404654 1710490 2052588 2341090 2565735 2809308 3420980 3511635 4276225 4682180 5131470 5852725 7023270 8552450 10262940 11705450 12828675 14046540 17104900 17558175 23410900 25657350 33012457 35116350 51314700 66024914 70232700 99037371 132049828 165062285 198074742 207482437 330124570 396149484 414964874 495186855 622447311 660249140 825311425 829929748 990373710 1037412185 1244894622 1650622850 1980747420 2074824370 2475934275 2489789244 3112236555 3301245700 4149648740 4951868550 5187060925 6224473110 9903737100 10374121850 12448946220 15561182775 20748243700 31122365550 40044110341 62244731100 80088220682 120132331023 160176441364 200220551705 240264662046 400441103410 480529324092 600661655115 800882206820 1001102758525 1201323310230 2002205517050 2402646620460 3003308275575 4004411034100 6006616551150 12013233102300