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114314130101 is a prime number
BaseRepresentation
bin110101001110110100…
…1110011001010110101
3101221001202012111022102
41222131221303022311
53333103404130401
6124303140311445
711154545034143
oct1523551631265
9357052174272
10114314130101
1144531389996
121a1a36a2585
13aa1a225b02
145766148593
152e90c1d56b
hex1a9da732b5

114314130101 has 2 divisors, whose sum is σ = 114314130102. Its totient is φ = 114314130100.

The previous prime is 114314130061. The next prime is 114314130143. The reversal of 114314130101 is 101031413411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70291795876 + 44022334225 = 265126^2 + 209815^2 .

It is a cyclic number.

It is not a de Polignac number, because 114314130101 - 218 = 114313867957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114314130001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57157065050 + 57157065051.

It is an arithmetic number, because the mean of its divisors is an integer number (57157065051).

Almost surely, 2114314130101 is an apocalyptic number.

It is an amenable number.

114314130101 is a deficient number, since it is larger than the sum of its proper divisors (1).

114314130101 is an equidigital number, since it uses as much as digits as its factorization.

114314130101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 114314130101 its reverse (101031413411), we get a palindrome (215345543512).

The spelling of 114314130101 in words is "one hundred fourteen billion, three hundred fourteen million, one hundred thirty thousand, one hundred one".