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114144113341 is a prime number
BaseRepresentation
bin110101001001110000…
…1001111001010111101
3101220121220021202011101
41222103201033022331
53332231343111331
6124234224253101
711150411645356
oct1522341171275
9356556252141
10114144113341
1144454415875
121a156771191
13a9c0c38c8b
14574b72cd2d
152e80d38061
hex1a9384f2bd

114144113341 has 2 divisors, whose sum is σ = 114144113342. Its totient is φ = 114144113340.

The previous prime is 114144113339. The next prime is 114144113357. The reversal of 114144113341 is 143311441411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114142622500 + 1490841 = 337850^2 + 1221^2 .

It is a cyclic number.

It is not a de Polignac number, because 114144113341 - 21 = 114144113339 is a prime.

It is a super-2 number, since 2×1141441133412 (a number of 23 digits) contains 22 as substring.

Together with 114144113339, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114144113311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57072056670 + 57072056671.

It is an arithmetic number, because the mean of its divisors is an integer number (57072056671).

Almost surely, 2114144113341 is an apocalyptic number.

It is an amenable number.

114144113341 is a deficient number, since it is larger than the sum of its proper divisors (1).

114144113341 is an equidigital number, since it uses as much as digits as its factorization.

114144113341 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2304, while the sum is 28.

Adding to 114144113341 its reverse (143311441411), we get a palindrome (257455554752).

The spelling of 114144113341 in words is "one hundred fourteen billion, one hundred forty-four million, one hundred thirteen thousand, three hundred forty-one".