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212505224011425 = 335231101100550161
BaseRepresentation
bin110000010100010110111010…
…011000111101111010100001
31000212102022010102211011002000
4300110112322120331322201
5210323141144321331200
62031543315135314213
762521665360505542
oct6024267230757241
91025368112734060
10212505224011425
116178aa60a55764
121ba00b2967b969
13917620619b647
143a6944455a4c9
151987b36548300
hexc145ba63dea1

212505224011425 has 96 divisors (see below), whose sum is σ = 406962703672320. Its totient is φ = 108594172800000.

The previous prime is 212505224011391. The next prime is 212505224011463. The reversal of 212505224011425 is 524110422505212.

It is a happy number.

212505224011425 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 0 + 5 + 224 + 0 + 1 + 1 + 425 = 666.

212505224011425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212505224011425 - 214 = 212505223995041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212505224011425.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48161656 + ... + 52388505.

It is an arithmetic number, because the mean of its divisors is an integer number (4239194829920).

Almost surely, 2212505224011425 is an apocalyptic number.

212505224011425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212505224011425 is a deficient number, since it is larger than the sum of its proper divisors (194457479660895).

212505224011425 is a wasteful number, since it uses less digits than its factorization.

212505224011425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100550312 (or 100550301 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 212505224011425 its reverse (524110422505212), we get a palindrome (736615646516637).

The spelling of 212505224011425 in words is "two hundred twelve trillion, five hundred five billion, two hundred twenty-four million, eleven thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 93 101 135 155 225 279 303 465 505 675 775 837 909 1395 1515 2325 2525 2727 3131 4185 4545 6975 7575 9393 13635 15655 20925 22725 28179 46965 68175 78275 84537 140895 234825 422685 704475 2113425 100550161 301650483 502750805 904951449 1508252415 2513754025 2714854347 3117054991 4524757245 7541262075 9351164973 10155566261 13574271735 15585274955 22623786225 28053494919 30466698783 46755824865 50777831305 67871358675 77926374775 84160484757 91400096349 140267474595 152333493915 233779124325 253889156525 274200289047 314822554091 420802423785 457000481745 701337372975 761667469575 944467662273 1371001445235 1574112770455 2104012118925 2285002408725 2833402986819 4722338311365 6855007226175 7870563852275 8500208960457 14167014934095 23611691556825 42501044802285 70835074670475 212505224011425