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114813218141 is a prime number
BaseRepresentation
bin110101011101101100…
…1101010110101011101
3101222100112022210101122
41222323121222311131
53340114140440031
6124424445420325
711203115152256
oct1527331526535
9358315283348
10114813218141
1144768083146
121a30286a6a5
13aa9974ba8b
1457b2543b2d
152ebe95647b
hex1abb66ad5d

114813218141 has 2 divisors, whose sum is σ = 114813218142. Its totient is φ = 114813218140.

The previous prime is 114813218137. The next prime is 114813218153. The reversal of 114813218141 is 141812318411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94697752900 + 20115465241 = 307730^2 + 141829^2 .

It is a cyclic number.

It is not a de Polignac number, because 114813218141 - 22 = 114813218137 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114813218111) 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, 57406609070 + 57406609071.

It is an arithmetic number, because the mean of its divisors is an integer number (57406609071).

Almost surely, 2114813218141 is an apocalyptic number.

It is an amenable number.

114813218141 is a deficient number, since it is larger than the sum of its proper divisors (1).

114813218141 is an equidigital number, since it uses as much as digits as its factorization.

114813218141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6144, while the sum is 35.

The spelling of 114813218141 in words is "one hundred fourteen billion, eight hundred thirteen million, two hundred eighteen thousand, one hundred forty-one".