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2123137 is a prime number
BaseRepresentation
bin1000000110010110000001
310222212101201
420012112001
51020420022
6113301201
724021622
oct10062601
93885351
102123137
111220165
12864801
135944c3
143d3a49
152be127
hex206581

2123137 has 2 divisors, whose sum is σ = 2123138. Its totient is φ = 2123136.

The previous prime is 2123129. The next prime is 2123141. The reversal of 2123137 is 7313212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2076481 + 46656 = 1441^2 + 216^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123137 - 23 = 2123129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2123167) 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, 1061568 + 1061569.

It is an arithmetic number, because the mean of its divisors is an integer number (1061569).

22123137 is an apocalyptic number.

It is an amenable number.

2123137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123137 is an equidigital number, since it uses as much as digits as its factorization.

2123137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 19.

The square root of 2123137 is about 1457.0988298671. The cubic root of 2123137 is about 128.5264975864.

Adding to 2123137 its reverse (7313212), we get a palindrome (9436349).

The spelling of 2123137 in words is "two million, one hundred twenty-three thousand, one hundred thirty-seven".