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212201112210020 = 225291289283835521
BaseRepresentation
bin110000001111111011101011…
…111010100000101001100100
31000211100020011100210222011222
4300033323223322200221210
5210303200334211210040
62031151502320115512
762461011244033043
oct6017735372405144
91024306140728158
10212201112210020
1161682a9385318a
121b971bb7165b98
13915362c53506b
143a588352c055a
15197ec87dccbb5
hexc0feebea0a64

212201112210020 has 48 divisors (see below), whose sum is σ = 461346257458800. Its totient is φ = 81889953546240.

The previous prime is 212201112209987. The next prime is 212201112210023. The reversal of 212201112210020 is 20012211102212.

It can be written as a sum of positive squares in 8 ways, for example, as 9702577090816 + 202498535119204 = 3114896^2 + 14230198^2 .

It is not an unprimeable number, because it can be changed into a prime (212201112210023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141170141 + ... + 142665380.

It is an arithmetic number, because the mean of its divisors is an integer number (9611380363725).

Almost surely, 2212201112210020 is an apocalyptic number.

212201112210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201112210020 is an abundant number, since it is smaller than the sum of its proper divisors (249145145248780).

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

212201112210020 is a wasteful number, since it uses less digits than its factorization.

212201112210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283836848 (or 283836846 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212201112210020 its reverse (20012211102212), we get a palindrome (232213323312232).

The spelling of 212201112210020 in words is "two hundred twelve trillion, two hundred one billion, one hundred twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1289 2578 5156 6445 12890 25780 37381 74762 149524 186905 373810 747620 283835521 567671042 1135342084 1419177605 2838355210 5676710420 8231230109 16462460218 32924920436 41156150545 82312301090 164624602180 365863986569 731727973138 1463455946276 1829319932845 3658639865690 7317279731380 10610055610501 21220111221002 42440222442004 53050278052505 106100556105010 212201112210020