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212212200100 = 22524574643593
BaseRepresentation
bin1100010110100011010…
…1010011001010100100
3202021202102200201122211
43011220311103022210
511434102310400400
6241253335533204
721221546636635
oct3055065231244
9667672621584
10212212200100
1181aa928895a
123516552a204
131701c420094
14a3b1d7988c
1557c065ddba
hex3168d532a4

212212200100 has 36 divisors (see below), whose sum is σ = 461508233284. Its totient is φ = 84699118080.

The previous prime is 212212200091. The next prime is 212212200113. The reversal of 212212200100 is 1002212212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8067273124 + 204144926976 = 89818^2 + 451824^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2276097 + ... + 2367496.

Almost surely, 2212212200100 is an apocalyptic number.

212212200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212200100 is an abundant number, since it is smaller than the sum of its proper divisors (249296033184).

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

212212200100 is a wasteful number, since it uses less digits than its factorization.

212212200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644064 (or 4644057 counting only the distinct ones).

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

Adding to 212212200100 its reverse (1002212212), we get a palindrome (213214412312).

The spelling of 212212200100 in words is "two hundred twelve billion, two hundred twelve million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 457 914 1828 2285 4570 9140 11425 22850 45700 4643593 9287186 18574372 23217965 46435930 92871860 116089825 232179650 464359300 2122122001 4244244002 8488488004 10610610005 21221220010 42442440020 53053050025 106106100050 212212200100