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212201303001300 = 223252417195651603
BaseRepresentation
bin110000001111111011110111…
…010010010100100011010100
31000211100020122122211011121200
4300033323313102110203110
5210303201232032020200
62031151533253312500
762461016051524614
oct6017736722244324
91024306578734550
10212201303001300
1161683081516528
121b97204b035730
13915365cc16a02
143a58852786a44
15197ec99a18800
hexc0fef74948d4

212201303001300 has 108 divisors (see below), whose sum is σ = 665149256160480. Its totient is φ = 56585647736640.

The previous prime is 212201303001271. The next prime is 212201303001301. The reversal of 212201303001300 is 3100303102212.

212201303001300 is a `hidden beast` number, since 2 + 1 + 2 + 201 + 30 + 300 + 130 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201303001301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34721299 + ... + 40372901.

Almost surely, 2212201303001300 is an apocalyptic number.

212201303001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201303001300 is an abundant number, since it is smaller than the sum of its proper divisors (452947953159180).

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

212201303001300 is a wasteful number, since it uses less digits than its factorization.

212201303001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5693342 (or 5693332 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212201303001300 its reverse (3100303102212), we get a palindrome (215301606103512).

The spelling of 212201303001300 in words is "two hundred twelve trillion, two hundred one billion, three hundred three million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 41719 83438 125157 166876 208595 250314 375471 417190 500628 625785 750942 834380 1042975 1251570 1501884 1877355 2085950 2503140 3128925 3754710 4171900 5651603 6257850 7509420 9386775 11303206 12515700 16954809 18773550 22606412 28258015 33909618 37547100 50864427 56516030 67819236 84774045 101728854 113032060 141290075 169548090 203457708 254322135 282580150 339096180 423870225 508644270 565160300 847740450 1017288540 1271610675 1695480900 2543221350 5086442700 235779225557 471558451114 707337676671 943116902228 1178896127785 1414675353342 2122013030013 2357792255570 2829350706684 3536688383355 4244026060026 4715584511140 5894480638925 7073376766710 8488052120052 10610065150065 11788961277850 14146753533420 17683441916775 21220130300130 23577922555700 35366883833550 42440260600260 53050325750325 70733767667100 106100651500650 212201303001300