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4212101 is a prime number
BaseRepresentation
bin10000000100010110000101
321220222220202
4100010112011
52034241401
6230140245
750542115
oct20042605
97828822
104212101
112417683
1214b1685
13b4628a
147b9045
1558306b
hex404585

4212101 has 2 divisors, whose sum is σ = 4212102. Its totient is φ = 4212100.

The previous prime is 4212097. The next prime is 4212113. The reversal of 4212101 is 1012124.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3648100 + 564001 = 1910^2 + 751^2 .

It is a cyclic number.

It is not a de Polignac number, because 4212101 - 22 = 4212097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2106050 + 2106051.

It is an arithmetic number, because the mean of its divisors is an integer number (2106051).

Almost surely, 24212101 is an apocalyptic number.

It is an amenable number.

4212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4212101 is an equidigital number, since it uses as much as digits as its factorization.

4212101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 4212101 is about 2052.3403713809. The cubic root of 4212101 is about 161.4976691986.

Adding to 4212101 its reverse (1012124), we get a palindrome (5224225).

The spelling of 4212101 in words is "four million, two hundred twelve thousand, one hundred one".