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2014304101 is a prime number
BaseRepresentation
bin111100000001111…
…1101011101100101
312012101021020202121
41320003331131211
513111130212401
6531513305541
7100626205465
oct17003753545
95171236677
102014304101
11944027537
124827052b1
13261415024
1415173dba5
15bbc8aca1
hex780fd765

2014304101 has 2 divisors, whose sum is σ = 2014304102. Its totient is φ = 2014304100.

The previous prime is 2014304099. The next prime is 2014304107. The reversal of 2014304101 is 1014034102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1572043201 + 442260900 = 39649^2 + 21030^2 .

It is a cyclic number.

It is not a de Polignac number, because 2014304101 - 21 = 2014304099 is a prime.

It is a super-2 number, since 2×20143041012 = 8114842022610836402, which contains 22 as substring.

Together with 2014304099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2014304107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1007152050 + 1007152051.

It is an arithmetic number, because the mean of its divisors is an integer number (1007152051).

Almost surely, 22014304101 is an apocalyptic number.

It is an amenable number.

2014304101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2014304101 is an equidigital number, since it uses as much as digits as its factorization.

2014304101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2014304101 is about 44880.9993315657. Note that the first 3 decimals coincide. The cubic root of 2014304101 is about 1262.9175903970.

Adding to 2014304101 its reverse (1014034102), we get a palindrome (3028338203).

The spelling of 2014304101 in words is "two billion, fourteen million, three hundred four thousand, one hundred one".