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12022031021300 = 22523131118676679
BaseRepresentation
bin1010111011110001100011…
…1000110111010011110100
31120120021222000022221111022
42232330120320313103310
53033432104420140200
641322502251200312
72350364064422216
oct256743070672364
946507860287438
1012022031021300
113915573109223
121421b49a46098
13692898ab3671
142d7c259165b6
1515cac212a885
hexaef18e374f4

12022031021300 has 144 divisors (see below), whose sum is σ = 27034456350720. Its totient is φ = 4635547056000.

The previous prime is 12022031021279. The next prime is 12022031021317. The reversal of 12022031021300 is 312013022021.

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, 1799971361 + ... + 1799978039.

Almost surely, 212022031021300 is an apocalyptic number.

12022031021300 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 12022031021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517228175360).

12022031021300 is an abundant number, since it is smaller than the sum of its proper divisors (15012425329420).

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

12022031021300 is a wasteful number, since it uses less digits than its factorization.

12022031021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8902 (or 8895 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12022031021300 its reverse (312013022021), we get a palindrome (12334044043321).

The spelling of 12022031021300 in words is "twelve trillion, twenty-two billion, thirty-one million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 311 620 622 775 1244 1550 1555 1867 3100 3110 3734 6220 6679 7468 7775 9335 9641 13358 15550 18670 19282 26716 31100 33395 37340 38564 46675 48205 57877 66790 93350 96410 115754 133580 166975 186700 192820 207049 231508 241025 289385 333950 414098 482050 578770 580637 667900 828196 964100 1035245 1157540 1161274 1446925 2070490 2077169 2322548 2893850 2903185 4140980 4154338 5176225 5787700 5806370 8308676 10352450 10385845 11612740 12469693 14515925 17999747 20704900 20771690 24939386 29031850 35999494 41543380 49878772 51929225 58063700 62348465 64392239 71998988 89998735 103858450 124696930 128784478 179997470 207716900 249393860 257568956 311742325 321961195 359994940 386560483 449993675 623484650 643922390 773120966 899987350 1246969300 1287844780 1546241932 1609805975 1799974700 1932802415 3219611950 3865604830 3878074523 6439223900 7731209660 7756149046 9664012075 15512298092 19328024150 19390372615 38656048300 38780745230 77561490460 96951863075 120220310213 193903726150 240440620426 387807452300 480881240852 601101551065 1202203102130 2404406204260 3005507755325 6011015510650 12022031021300