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2823101 is a prime number
BaseRepresentation
bin1010110001001110111101
312022102120022
422301032331
51210314401
6140301525
732665421
oct12611675
95272508
102823101
111659046
12b418a5
1377ac98
14536b81
153ab71b
hex2b13bd

2823101 has 2 divisors, whose sum is σ = 2823102. Its totient is φ = 2823100.

The previous prime is 2823059. The next prime is 2823109. The reversal of 2823101 is 1013282.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2059225 + 763876 = 1435^2 + 874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2823101 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2823101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2823109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1411550 + 1411551.

It is an arithmetic number, because the mean of its divisors is an integer number (1411551).

22823101 is an apocalyptic number.

It is an amenable number.

2823101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2823101 is an equidigital number, since it uses as much as digits as its factorization.

2823101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2823101 is about 1680.2086179996. The cubic root of 2823101 is about 141.3325317139.

Adding to 2823101 its reverse (1013282), we get a palindrome (3836383).

The spelling of 2823101 in words is "two million, eight hundred twenty-three thousand, one hundred one".