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2101249 is a prime number
BaseRepresentation
bin1000000001000000000001
310221202101001
420001000001
51014214444
6113012001
723601043
oct10010001
93852331
102101249
111205777
12854001
13587557
143c9a93
152b78d4
hex201001

2101249 has 2 divisors, whose sum is σ = 2101250. Its totient is φ = 2101248.

The previous prime is 2101247. The next prime is 2101259. The reversal of 2101249 is 9421012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2050624 + 50625 = 1432^2 + 225^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101249 - 21 = 2101247 is a prime.

Together with 2101247, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2101243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050624 + 1050625.

It is an arithmetic number, because the mean of its divisors is an integer number (1050625).

It is a Proth number, since it is equal to 513 ⋅ 212 + 1 and 513 < 212.

22101249 is an apocalyptic number.

It is an amenable number.

2101249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101249 is an equidigital number, since it uses as much as digits as its factorization.

2101249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2101249 is about 1449.5685565022. The cubic root of 2101249 is about 128.0832994573.

The spelling of 2101249 in words is "two million, one hundred one thousand, two hundred forty-nine".