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212201332331220 = 22335879914465973
BaseRepresentation
bin110000001111111011111001…
…000010001101001011010100
31000211100020201201000021201000
4300033323321002031023110
5210303201312034044340
62031151540222103300
762461016556032601
oct6017737102151324
91024306651007630
10212201332331220
1161683097029531
121b972058a1ab30
1391536660159ab
143a5885661d6a8
15197ec9c3add30
hexc0fef908d2d4

212201332331220 has 96 divisors (see below), whose sum is σ = 660189573469440. Its totient is φ = 56586366184320.

The previous prime is 212201332331189. The next prime is 212201332331239. The reversal of 212201332331220 is 22133233102212.

212201332331220 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 0 + 1 + 3 + 323 + 312 + 20 = 666.

212201332331220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 45282154 + ... + 49748126.

It is an arithmetic number, because the mean of its divisors is an integer number (6876974723640).

Almost surely, 2212201332331220 is an apocalyptic number.

212201332331220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201332331220 is an abundant number, since it is smaller than the sum of its proper divisors (447988241138220).

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

212201332331220 is a wasteful number, since it uses less digits than its factorization.

212201332331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553982 (or 4553974 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 212201332331220 its reverse (22133233102212), we get a palindrome (234334565433432).

The spelling of 212201332331220 in words is "two hundred twelve trillion, two hundred one billion, three hundred thirty-two million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 87991 175982 263973 351964 439955 527946 791919 879910 1055892 1319865 1583838 1759820 2375757 2639730 3167676 3959595 4465973 4751514 5279460 7919190 8931946 9503028 11878785 13397919 15838380 17863892 22329865 23757570 26795838 40193757 44659730 47515140 53591676 66989595 80387514 89319460 120581271 133979190 160775028 200968785 241162542 267958380 401937570 482325084 602906355 803875140 1205812710 2411625420 392965430243 785930860486 1178896290729 1571861720972 1964827151215 2357792581458 3536688872187 3929654302430 4715585162916 5894481453645 7073377744374 7859308604860 10610066616561 11788962907290 14146755488748 17683444360935 21220133233122 23577925814580 35366888721870 42440266466244 53050333082805 70733777443740 106100666165610 212201332331220