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1314000101 is a prime number
BaseRepresentation
bin100111001010010…
…0000110011100101
310101120112010021102
41032110200303211
510142341000401
6334215325445
744363550041
oct11624406345
93346463242
101314000101
1161479a7a7
12308080885
1317c2ca46b
14c6727021
157a55856b
hex4e520ce5

1314000101 has 2 divisors, whose sum is σ = 1314000102. Its totient is φ = 1314000100.

The previous prime is 1314000059. The next prime is 1314000133. The reversal of 1314000101 is 1010004131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1312323076 + 1677025 = 36226^2 + 1295^2 .

It is an emirp because it is prime and its reverse (1010004131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1314000101 - 214 = 1313983717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1314000161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 657000050 + 657000051.

It is an arithmetic number, because the mean of its divisors is an integer number (657000051).

Almost surely, 21314000101 is an apocalyptic number.

It is an amenable number.

1314000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1314000101 is an equidigital number, since it uses as much as digits as its factorization.

1314000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1314000101 is about 36249.1393139203. The cubic root of 1314000101 is about 1095.2967513028.

Adding to 1314000101 its reverse (1010004131), we get a palindrome (2324004232).

The spelling of 1314000101 in words is "one billion, three hundred fourteen million, one hundred one", and thus it is an aban number.