Search a number
-
+
212012200001020 = 225154916529414031
BaseRepresentation
bin110000001101001011101111…
…110111100111110111111100
31000210200011112202011102112111
4300031023233313213313330
5210242101441200013040
62030525020551543404
762441242646534236
oct6015135767476774
91023604482142474
10212012200001020
116160a961832521
121b94147498ab64
13913b88439ab83
143a4d633a03256
151979dcd089dea
hexc0d2efde7dfc

212012200001020 has 48 divisors (see below), whose sum is σ = 445541077296000. Its totient is φ = 84744799810560.

The previous prime is 212012200000943. The next prime is 212012200001057. The reversal of 212012200001020 is 20100002210212.

It is a happy number.

It is a super-4 number, since 4×2120122000010204 (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511861405 + ... + 512275435.

It is an arithmetic number, because the mean of its divisors is an integer number (9282105777000).

Almost surely, 2212012200001020 is an apocalyptic number.

212012200001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012200001020 is an abundant number, since it is smaller than the sum of its proper divisors (233528877294980).

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

212012200001020 is a wasteful number, since it uses less digits than its factorization.

212012200001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432118 (or 432116 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212012200001020 its reverse (20100002210212), we get a palindrome (232112202211232).

The spelling of 212012200001020 in words is "two hundred twelve trillion, twelve billion, two hundred million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 1549 3098 6196 7745 15490 16529 30980 33058 66116 82645 165290 330580 414031 828062 1656124 2070155 4140310 8280620 25603421 51206842 102413684 128017105 256034210 512068420 641334019 1282668038 2565336076 3206670095 6413340190 6843518399 12826680380 13687036798 27374073596 34217591995 68435183990 136870367980 10600610000051 21201220000102 42402440000204 53003050000255 106006100000510 212012200001020