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212011112112 = 2434416898169
BaseRepresentation
bin1100010101110011011…
…0001101011010110000
3202021020102022101210120
43011130312031122300
511433144321041422
6241221353530240
721213555501402
oct3053466153260
9667212271716
10212011112112
1181a05822538
123510a113980
1316cb98747c7
14a393392b72
1557acb8c45c
hex315cd8d6b0

212011112112 has 20 divisors (see below), whose sum is σ = 547695373080. Its totient is φ = 70670370688.

The previous prime is 212011112107. The next prime is 212011112129. The reversal of 212011112112 is 211211110212.

It is a happy number.

212011112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212011112091 and 212011112100.

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, 2208449037 + ... + 2208449132.

It is an arithmetic number, because the mean of its divisors is an integer number (27384768654).

Almost surely, 2212011112112 is an apocalyptic number.

It is an amenable number.

212011112112 is an abundant number, since it is smaller than the sum of its proper divisors (335684260968).

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

212011112112 is a wasteful number, since it uses less digits than its factorization.

212011112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416898180 (or 4416898174 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212011112112 its reverse (211211110212), we get a palindrome (423222222324).

The spelling of 212011112112 in words is "two hundred twelve billion, eleven million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 4416898169 8833796338 13250694507 17667592676 26501389014 35335185352 53002778028 70670370704 106005556056 212011112112