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212201220020020 = 225711178105470589
BaseRepresentation
bin110000001111111011110010…
…010101110001011100110100
31000211100020102212200021200221
4300033323302111301130310
5210303201044311120040
62031151521130544124
762461014023303650
oct6017736225613464
91024306385607627
10212201220020020
1161683039699460
121b972027298044
13915364898166a
143a58845745a60
15197ec925c674a
hexc0fef2571734

212201220020020 has 96 divisors (see below), whose sum is σ = 588262633539840. Its totient is φ = 62250014115840.

The previous prime is 212201220019993. The next prime is 212201220020021. The reversal of 212201220020020 is 20020022102212.

It is a junction number, because it is equal to n+sod(n) for n = 212201220019976 and 212201220020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201220020021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4052709115 + ... + 4052761474.

It is an arithmetic number, because the mean of its divisors is an integer number (6127735766040).

Almost surely, 2212201220020020 is an apocalyptic number.

212201220020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201220020020 is an abundant number, since it is smaller than the sum of its proper divisors (376061413519820).

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

212201220020020 is a wasteful number, since it uses less digits than its factorization.

212201220020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8105470633 (or 8105470631 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212201220020020 its reverse (20020022102212), we get a palindrome (232221242122232).

The spelling of 212201220020020 in words is "two hundred twelve trillion, two hundred one billion, two hundred twenty million, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 140 154 170 187 220 238 308 340 374 385 476 595 748 770 935 1190 1309 1540 1870 2380 2618 3740 5236 6545 13090 26180 8105470589 16210941178 32421882356 40527352945 56738294123 81054705890 89160176479 113476588246 137793000013 162109411780 178320352958 226953176492 275586000026 283691470615 356640705916 445800882395 551172000052 567382941230 624121235353 688965000065 891601764790 964551000091 1134765882460 1248242470706 1377930000130 1515723000143 1783203529580 1929102000182 2496484941412 2755860000260 3031446000286 3120606176765 3858204000364 4822755000455 6062892000572 6241212353530 7578615000715 9645510000910 10610061001001 12482424707060 15157230001430 19291020001820 21220122002002 30314460002860 42440244004004 53050305005005 106100610010010 212201220020020