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114320313101 is a prime number
BaseRepresentation
bin110101001111000000…
…1011000101100001101
3101221002011211121210102
41222132001120230031
53333112000004401
6124303521020445
711154651425321
oct1523601305415
9357064747712
10114320313101
1144534922305
121a1a5784725
13aa1b5ac1a7
145766cb7981
152e9154056b
hex1a9e058b0d

114320313101 has 2 divisors, whose sum is σ = 114320313102. Its totient is φ = 114320313100.

The previous prime is 114320313071. The next prime is 114320313103. The reversal of 114320313101 is 101313023411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83375985001 + 30944328100 = 288749^2 + 175910^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114320313101 is a prime.

Together with 114320313103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114320313103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57160156550 + 57160156551.

It is an arithmetic number, because the mean of its divisors is an integer number (57160156551).

Almost surely, 2114320313101 is an apocalyptic number.

It is an amenable number.

114320313101 is a deficient number, since it is larger than the sum of its proper divisors (1).

114320313101 is an equidigital number, since it uses as much as digits as its factorization.

114320313101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 114320313101 its reverse (101313023411), we get a palindrome (215633336512).

The spelling of 114320313101 in words is "one hundred fourteen billion, three hundred twenty million, three hundred thirteen thousand, one hundred one".