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12013210100320 = 2551113525052889
BaseRepresentation
bin1010111011010000101100…
…0111101110001001100000
31120112110012021012201201021
42232310023013232021200
53033311023241202240
641314443104215224
72346632355012352
oct256641307561140
946473167181637
1012013210100320
113911856a10790
1214202a790a514
13691ac1473cb0
142d762a1d90d2
1515c757a2454a
hexaed0b1ee260

12013210100320 has 96 divisors (see below), whose sum is σ = 33342958726560. Its totient is φ = 4032406179840.

The previous prime is 12013210100261. The next prime is 12013210100393. The reversal of 12013210100320 is 2300101231021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12013210100294 and 12013210100303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262503565 + ... + 262549324.

It is an arithmetic number, because the mean of its divisors is an integer number (347322486735).

Almost surely, 212013210100320 is an apocalyptic number.

12013210100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013210100320 is an abundant number, since it is smaller than the sum of its proper divisors (21329748626240).

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

12013210100320 is a wasteful number, since it uses less digits than its factorization.

12013210100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525052928 (or 525052920 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12013210100320 its reverse (2300101231021), we get a palindrome (14313311331341).

The spelling of 12013210100320 in words is "twelve trillion, thirteen billion, two hundred ten million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 11440 22880 525052889 1050105778 2100211556 2625264445 4200423112 5250528890 5775581779 6825687557 8400846224 10501057780 11551163558 13651375114 16801692448 21002115560 23102327116 27302750228 28877908895 34128437785 42004231120 46204654232 54605500456 57755817790 68256875570 75082563127 84008462240 92409308464 109211000912 115511635580 136513751140 150165126254 184818616928 218422001824 231023271160 273027502280 300330252508 375412815635 462046542320 546055004560 600660505016 750825631270 924093084640 1092110009120 1201321010032 1501651262540 2402642020064 3003302525080 6006605050160 12013210100320