Search a number
-
+
212102101022211 = 3331253407528103
BaseRepresentation
bin110000001110011111011110…
…011000110011011000000011
31000210222202121002210111021000
4300032133132120303120003
5210300040100330202321
62031034205434503043
762450604534600651
oct6016373630633003
91023882532714230
10212102101022211
1161644aa559a344
121b956984594a83
1391471b08463ba
143a53b216d7dd1
15197c3e08b4826
hexc0e7de633603

212102101022211 has 16 divisors (see below), whose sum is σ = 324361635973120. Its totient is φ = 136840065175080.

The previous prime is 212102101022113. The next prime is 212102101022281. The reversal of 212102101022211 is 112220101201212.

212102101022211 is a `hidden beast` number, since 2 + 1 + 210 + 210 + 10 + 22 + 211 = 666.

212102101022211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-212102101022211 is a prime.

It is a super-2 number, since 2×2121021010222112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212102101022281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126703763215 + ... + 126703764888.

It is an arithmetic number, because the mean of its divisors is an integer number (20272602248320).

Almost surely, 2212102101022211 is an apocalyptic number.

212102101022211 is a deficient number, since it is larger than the sum of its proper divisors (112259534950909).

212102101022211 is a wasteful number, since it uses less digits than its factorization.

212102101022211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253407528143 (or 253407528137 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212102101022211 its reverse (112220101201212), we get a palindrome (324322202223423).

The spelling of 212102101022211 in words is "two hundred twelve trillion, one hundred two billion, one hundred one million, twenty-two thousand, two hundred eleven".

Divisors: 1 3 9 27 31 93 279 837 253407528103 760222584309 2280667752927 6842003258781 7855633371193 23566900113579 70700700340737 212102101022211