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212000221100 = 225241431202497
BaseRepresentation
bin1100010101110000110…
…0101010011110101100
3202021012122211002010202
43011130030222132230
511433134024033400
6241220324253032
721213364101233
oct3053414523654
9667178732122
10212000221100
11819aa6639a8
1235106541178
1316cb7530515
14a391b59b1a
1557abc3a4d5
hex315c32a7ac

212000221100 has 72 divisors (see below), whose sum is σ = 482220937968. Its totient is φ = 80807731200.

The previous prime is 212000221099. The next prime is 212000221109. The reversal of 212000221100 is 1122000212.

It is a happy number.

212000221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212000221109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 424949 + ... + 777548.

Almost surely, 2212000221100 is an apocalyptic number.

212000221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000221100 is an abundant number, since it is smaller than the sum of its proper divisors (270220716868).

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

212000221100 is a wasteful number, since it uses less digits than its factorization.

212000221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202595 (or 1202588 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212000221100 its reverse (1122000212), we get a palindrome (213122221312).

The spelling of 212000221100 in words is "two hundred twelve billion, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 43 50 82 86 100 164 172 205 215 410 430 820 860 1025 1075 1763 2050 2150 3526 4100 4300 7052 8815 17630 35260 44075 88150 176300 1202497 2404994 4809988 6012485 12024970 24049940 30062425 49302377 51707371 60124850 98604754 103414742 120249700 197209508 206829484 246511885 258536855 493023770 517073710 986047540 1034147420 1232559425 1292684275 2120002211 2465118850 2585368550 4240004422 4930237700 5170737100 8480008844 10600011055 21200022110 42400044220 53000055275 106000110550 212000221100