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11212101 = 34149929
BaseRepresentation
bin101010110001…
…010101000101
3210002122010000
4222301111011
510332241401
61040151513
7164205225
oct52612505
923078100
1011212101
1163688aa
123908599
1324274a4
1416bc085
15eb7186
hexab1545

11212101 has 20 divisors (see below), whose sum is σ = 16879500. Its totient is φ = 7416576.

The previous prime is 11212081. The next prime is 11212127. The reversal of 11212101 is 10121211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 656100 + 10556001 = 810^2 + 3249^2 .

It is not a de Polignac number, because 11212101 - 26 = 11212037 is a prime.

It is a super-2 number, since 2×112121012 = 251422417668402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11605 + ... + 12533.

It is an arithmetic number, because the mean of its divisors is an integer number (843975).

Almost surely, 211212101 is an apocalyptic number.

It is an amenable number.

11212101 is a deficient number, since it is larger than the sum of its proper divisors (5667399).

11212101 is an equidigital number, since it uses as much as digits as its factorization.

11212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 11212101 is about 3348.4475507315. The cubic root of 11212101 is about 223.8183383114.

Adding to 11212101 its reverse (10121211), we get a palindrome (21333312).

It can be divided in two parts, 1121210 and 1, that added together give a palindrome (1121211).

The spelling of 11212101 in words is "eleven million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 9 27 81 149 447 929 1341 2787 4023 8361 12069 25083 75249 138421 415263 1245789 3737367 11212101