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212101100212 = 22122943145057
BaseRepresentation
bin1100010110001000110…
…1011111001010110100
3202021110200122021021011
43011202031133022310
511433340340201322
6241234330402004
721216030414361
oct3054215371264
9667420567234
10212101100212
1181a515a5971
1235134290304
13170023c11c1
14a3a12d9468
1557b5a15677
hex316235f2b4

212101100212 has 12 divisors (see below), whose sum is σ = 371478949380. Its totient is φ = 105964257536.

The previous prime is 212101100209. The next prime is 212101100227. The reversal of 212101100212 is 212001101212.

212101100212 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 183975797776 + 28125302436 = 428924^2 + 167706^2 .

It is a super-2 number, since 2×2121011002122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212101100192 and 212101100201.

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 3 ways as a sum of consecutive naturals, for example, 21567613 + ... + 21577444.

It is an arithmetic number, because the mean of its divisors is an integer number (30956579115).

Almost surely, 2212101100212 is an apocalyptic number.

It is an amenable number.

212101100212 is a deficient number, since it is larger than the sum of its proper divisors (159377849168).

212101100212 is a wasteful number, since it uses less digits than its factorization.

212101100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43146290 (or 43146288 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212101100212 its reverse (212001101212), we get a palindrome (424102201424).

The spelling of 212101100212 in words is "two hundred twelve billion, one hundred one million, one hundred thousand, two hundred twelve".

Divisors: 1 2 4 1229 2458 4916 43145057 86290114 172580228 53025275053 106050550106 212101100212