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212111011111 = 31109433144973
BaseRepresentation
bin1100010110001011001…
…1010010110100100111
3202021111101021210110111
43011202303102310213
511433400404323421
6241235323033451
721216210563206
oct3054263226447
9667441253414
10212111011111
1181a5715509a
123513766b887
131700448133c
14a3a275923d
1557b6821ee1
hex3162cd2d27

212111011111 has 16 divisors (see below), whose sum is σ = 221473880320. Its totient is φ = 202914408960.

The previous prime is 212111011103. The next prime is 212111011127. The reversal of 212111011111 is 111110111212.

212111011111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 212111011111 - 23 = 212111011103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212111011091 and 212111011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111011811) 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 15 ways as a sum of consecutive naturals, for example, 1390621 + ... + 1535593.

It is an arithmetic number, because the mean of its divisors is an integer number (13842117520).

Almost surely, 2212111011111 is an apocalyptic number.

212111011111 is a deficient number, since it is larger than the sum of its proper divisors (9362869209).

212111011111 is a wasteful number, since it uses less digits than its factorization.

212111011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145546.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 212111011111 its reverse (111110111212), we get a palindrome (323221122323).

The spelling of 212111011111 in words is "two hundred twelve billion, one hundred eleven million, eleven thousand, one hundred eleven".

Divisors: 1 31 109 433 3379 13423 47197 144973 1463107 4494163 15802057 62773309 489863767 1945972579 6842290681 212111011111