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212011112012 = 22724126382667
BaseRepresentation
bin1100010101110011011…
…0001101011001001100
3202021020102022101122212
43011130312031121030
511433144321041022
6241221353525552
721213555501200
oct3053466153114
9667212271585
10212011112012
1181a05822457
123510a1138b8
1316cb987474b
14a393392b00
1557acb8c3e2
hex315cd8d64c

212011112012 has 36 divisors (see below), whose sum is σ = 442120750344. Its totient is φ = 88645757760.

The previous prime is 212011111997. The next prime is 212011112017. The reversal of 212011112012 is 210211110212.

212011112012 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 (14).

It is not an unprimeable number, because it can be changed into a prime (212011112017) 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 11 ways as a sum of consecutive naturals, for example, 13183298 + ... + 13199369.

It is an arithmetic number, because the mean of its divisors is an integer number (12281131954).

Almost surely, 2212011112012 is an apocalyptic number.

It is an amenable number.

212011112012 is an abundant number, since it is smaller than the sum of its proper divisors (230109638332).

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

212011112012 is a wasteful number, since it uses less digits than its factorization.

212011112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26382726 (or 26382717 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212011112012 its reverse (210211110212), we get a palindrome (422222222224).

The spelling of 212011112012 in words is "two hundred twelve billion, eleven million, one hundred twelve thousand, twelve".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 574 1148 2009 4018 8036 26382667 52765334 105530668 184678669 369357338 738714676 1081689347 1292750683 2163378694 2585501366 4326757388 5171002732 7571825429 15143650858 30287301716 53002778003 106005556006 212011112012