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212112101220111 = 33121734491871621
BaseRepresentation
bin110000001110101000110010…
…011100100001111100001111
31000211000201102000221011212000
4300032220302130201330033
5210300221040403020421
62031042542025443343
762451410414065611
oct6016506234417417
91024021360834760
10212112101220111
116164926742a004
121b9588b5640553
1391481155a2971
143a543cd8acdb1
15197c7c87b1226
hexc0ea32721f0f

212112101220111 has 32 divisors (see below), whose sum is σ = 314589712248000. Its totient is φ = 141250831994880.

The previous prime is 212112101220067. The next prime is 212112101220113. The reversal of 212112101220111 is 111022101211212.

It is a happy number.

212112101220111 is a `hidden beast` number, since 2 + 121 + 1 + 210 + 1 + 220 + 111 = 666.

It is not a de Polignac number, because 212112101220111 - 213 = 212112101211919 is a prime.

It is a super-2 number, since 2×2121121012201112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112101220113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112394881 + ... + 114266501.

It is an arithmetic number, because the mean of its divisors is an integer number (9830928507750).

Almost surely, 2212112101220111 is an apocalyptic number.

212112101220111 is a deficient number, since it is larger than the sum of its proper divisors (102477611027889).

212112101220111 is a wasteful number, since it uses less digits than its factorization.

212112101220111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876296 (or 1876290 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212112101220111 its reverse (111022101211212), we get a palindrome (323134202431323).

The spelling of 212112101220111 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred one million, two hundred twenty thousand, one hundred eleven".

Divisors: 1 3 9 27 1217 3449 3651 10347 10953 31041 32859 93123 1871621 4197433 5614863 12592299 16844589 37776897 50533767 113330691 2277762757 6455220829 6833288271 19365662487 20499864813 58096987461 61499594439 174290962383 7856003748893 23568011246679 70704033740037 212112101220111