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114301115113 is a prime number
BaseRepresentation
bin110101001110011100…
…0001001101011101001
3101221000211201021002211
41222130320021223221
53333042041140423
6124301553325121
711154326306443
oct1523470115351
9357024637084
10114301115113
1144524aaa5a9
121a19b2667a1
13aa17619b33
14576451b493
152e8e9ec10d
hex1a9ce09ae9

114301115113 has 2 divisors, whose sum is σ = 114301115114. Its totient is φ = 114301115112.

The previous prime is 114301115111. The next prime is 114301115141. The reversal of 114301115113 is 311511103411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101737395369 + 12563719744 = 318963^2 + 112088^2 .

It is a cyclic number.

It is not a de Polignac number, because 114301115113 - 21 = 114301115111 is a prime.

Together with 114301115111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (114301115111) 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, 57150557556 + 57150557557.

It is an arithmetic number, because the mean of its divisors is an integer number (57150557557).

Almost surely, 2114301115113 is an apocalyptic number.

It is an amenable number.

114301115113 is a deficient number, since it is larger than the sum of its proper divisors (1).

114301115113 is an equidigital number, since it uses as much as digits as its factorization.

114301115113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 114301115113 its reverse (311511103411), we get a palindrome (425812218524).

The spelling of 114301115113 in words is "one hundred fourteen billion, three hundred one million, one hundred fifteen thousand, one hundred thirteen".