Search a number
-
+
212212201101 = 31720632016977
BaseRepresentation
bin1100010110100011010…
…1010011011010001101
3202021202102200210000220
43011220311103122031
511434102310413401
6241253335541553
721221546642565
oct3055065233215
9667672623026
10212212201101
1181aa928968a
123516552a8b9
131701c420684
14a3b1d79da5
1557c065e336
hex3168d5368d

212212201101 has 16 divisors (see below), whose sum is σ = 299739066624. Its totient is φ = 133088144384.

The previous prime is 212212201087. The next prime is 212212201109. The reversal of 212212201101 is 101102212212.

212212201101 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 212212201101 - 26 = 212212201037 is a prime.

It is a super-2 number, since 2×2122122011012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212201109) 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, 903276 + ... + 1113701.

It is an arithmetic number, because the mean of its divisors is an integer number (18733691664).

Almost surely, 2212212201101 is an apocalyptic number.

It is an amenable number.

212212201101 is a deficient number, since it is larger than the sum of its proper divisors (87526865523).

212212201101 is a wasteful number, since it uses less digits than its factorization.

212212201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019060.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212212201101 its reverse (101102212212), we get a palindrome (313314413313).

The spelling of 212212201101 in words is "two hundred twelve billion, two hundred twelve million, two hundred one thousand, one hundred one".

Divisors: 1 3 17 51 2063 6189 35071 105213 2016977 6050931 34288609 102865827 4161023551 12483070653 70737400367 212212201101