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212002000212 = 223349239921101
BaseRepresentation
bin1100010101110001001…
…1011100110101010100
3202021012210011110121210
43011130103130311110
511433140003001322
6241220430341420
721213415161162
oct3053423346524
9667183143553
10212002000212
1181a00669642
123510705a870
1316cb7a04252
14a3920a0232
1557abe8c70c
hex315c4dcd54

212002000212 has 48 divisors (see below), whose sum is σ = 496319040000. Its totient is φ = 70432137600.

The previous prime is 212002000183. The next prime is 212002000271. The reversal of 212002000212 is 212000200212.

212002000212 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10036462 + ... + 10057562.

It is an arithmetic number, because the mean of its divisors is an integer number (10339980000).

Almost surely, 2212002000212 is an apocalyptic number.

It is an amenable number.

212002000212 is an abundant number, since it is smaller than the sum of its proper divisors (284317039788).

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

212002000212 is a wasteful number, since it uses less digits than its factorization.

212002000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23856 (or 23854 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212002000212 its reverse (212000200212), we get a palindrome (424002200424).

The spelling of 212002000212 in words is "two hundred twelve billion, two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 349 698 1047 1396 2094 2399 4188 4798 7197 9596 14394 21101 28788 42202 63303 84404 126606 253212 837251 1674502 2511753 3349004 5023506 7364249 10047012 14728498 22092747 29456996 44185494 50621299 88370988 101242598 151863897 202485196 303727794 607455588 17666833351 35333666702 53000500053 70667333404 106001000106 212002000212