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2100441601 is a prime number
BaseRepresentation
bin111110100110010…
…0011001000000001
312102101100111012101
41331030203020001
513300203112401
6544231430401
7103023313306
oct17514431001
95371314171
102100441601
1198870a955
124a7525401
13276213b6b
1415cd630ad
15c4603101
hex7d323201

2100441601 has 2 divisors, whose sum is σ = 2100441602. Its totient is φ = 2100441600.

The previous prime is 2100441599. The next prime is 2100441631. The reversal of 2100441601 is 1061440012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1497690000 + 602751601 = 38700^2 + 24551^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100441601 - 21 = 2100441599 is a prime.

It is a super-2 number, since 2×21004416012 = 8823709838422886402, which contains 22 as substring.

Together with 2100441599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2100441631) 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, 1050220800 + 1050220801.

It is an arithmetic number, because the mean of its divisors is an integer number (1050220801).

Almost surely, 22100441601 is an apocalyptic number.

It is an amenable number.

2100441601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100441601 is an equidigital number, since it uses as much as digits as its factorization.

2100441601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2100441601 is about 45830.5749582088. The cubic root of 2100441601 is about 1280.6689214010.

Adding to 2100441601 its reverse (1061440012), we get a palindrome (3161881613).

The spelling of 2100441601 in words is "two billion, one hundred million, four hundred forty-one thousand, six hundred one".