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114043100317 is a prime number
BaseRepresentation
bin110101000110101111…
…1111001110010011101
3101220100212012202100021
41222031133321302131
53332030013202232
6124220215232141
711145044233636
oct1521537716235
9356325182307
10114043100317
11444023a2233
121a128978651
13a9a602c363
14573c15688d
152e77033397
hex1a8d7f9c9d

114043100317 has 2 divisors, whose sum is σ = 114043100318. Its totient is φ = 114043100316.

The previous prime is 114043100291. The next prime is 114043100357. The reversal of 114043100317 is 713001340411.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64266813081 + 49776287236 = 253509^2 + 223106^2 .

It is an emirp because it is prime and its reverse (713001340411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114043100317 - 211 = 114043098269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114043100291 and 114043100300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114043100357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57021550158 + 57021550159.

It is an arithmetic number, because the mean of its divisors is an integer number (57021550159).

Almost surely, 2114043100317 is an apocalyptic number.

It is an amenable number.

114043100317 is a deficient number, since it is larger than the sum of its proper divisors (1).

114043100317 is an equidigital number, since it uses as much as digits as its factorization.

114043100317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 114043100317 its reverse (713001340411), we get a palindrome (827044440728).

The spelling of 114043100317 in words is "one hundred fourteen billion, forty-three million, one hundred thousand, three hundred seventeen".