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2100257 is a prime number
BaseRepresentation
bin1000000000110000100001
310221201000022
420000300201
51014202012
6113003225
723565125
oct10006041
93851008
102100257
111204a55
12853515
13586c73
143c9585
152b7472
hex200c21

2100257 has 2 divisors, whose sum is σ = 2100258. Its totient is φ = 2100256.

The previous prime is 2100253. The next prime is 2100269. The reversal of 2100257 is 7520012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1745041 + 355216 = 1321^2 + 596^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100257 - 22 = 2100253 is a prime.

It is a super-2 number, since 2×21002572 = 8822158932098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2100253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050128 + 1050129.

It is an arithmetic number, because the mean of its divisors is an integer number (1050129).

22100257 is an apocalyptic number.

It is an amenable number.

2100257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100257 is an equidigital number, since it uses as much as digits as its factorization.

2100257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 2100257 is about 1449.2263453305. The cubic root of 2100257 is about 128.0631402356.

Adding to 2100257 its reverse (7520012), we get a palindrome (9620269).

The spelling of 2100257 in words is "two million, one hundred thousand, two hundred fifty-seven".