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114013012349 is a prime number
BaseRepresentation
bin110101000101110110…
…1001000000101111101
3101220021202121010102002
41222023231020011331
53331444312343344
6124213222312045
711144230420625
oct1521355100575
9356252533362
10114013012349
1144397411745
121a11a888625
13a99ca26322
145738163885
152e7458d44e
hex1a8bb4817d

114013012349 has 2 divisors, whose sum is σ = 114013012350. Its totient is φ = 114013012348.

The previous prime is 114013012327. The next prime is 114013012363. The reversal of 114013012349 is 943210310411.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112598500249 + 1414512100 = 335557^2 + 37610^2 .

It is an emirp because it is prime and its reverse (943210310411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114013012349 - 212 = 114013008253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114013012319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57006506174 + 57006506175.

It is an arithmetic number, because the mean of its divisors is an integer number (57006506175).

Almost surely, 2114013012349 is an apocalyptic number.

It is an amenable number.

114013012349 is a deficient number, since it is larger than the sum of its proper divisors (1).

114013012349 is an equidigital number, since it uses as much as digits as its factorization.

114013012349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 114013012349 in words is "one hundred fourteen billion, thirteen million, twelve thousand, three hundred forty-nine".