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114124544137 is a prime number
BaseRepresentation
bin110101001001001011…
…0100101100010001001
3101220120112110112021001
41222102112211202021
53332211340403022
6124232245015001
711150053422322
oct1522226454211
9356515415231
10114124544137
114444436a17a
121a1500b4461
13a9b9b76976
145748cb7449
152e7e26eb27
hex1a925a5889

114124544137 has 2 divisors, whose sum is σ = 114124544138. Its totient is φ = 114124544136.

The previous prime is 114124544119. The next prime is 114124544153. The reversal of 114124544137 is 731445421411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106100684361 + 8023859776 = 325731^2 + 89576^2 .

It is an emirp because it is prime and its reverse (731445421411) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114124544137 is a prime.

It is a super-2 number, since 2×1141245441372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114124544096 and 114124544105.

It is not a weakly prime, because it can be changed into another prime (114124544197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57062272068 + 57062272069.

It is an arithmetic number, because the mean of its divisors is an integer number (57062272069).

Almost surely, 2114124544137 is an apocalyptic number.

It is an amenable number.

114124544137 is a deficient number, since it is larger than the sum of its proper divisors (1).

114124544137 is an equidigital number, since it uses as much as digits as its factorization.

114124544137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 53760, while the sum is 37.

Adding to 114124544137 its reverse (731445421411), we get a palindrome (845569965548).

The spelling of 114124544137 in words is "one hundred fourteen billion, one hundred twenty-four million, five hundred forty-four thousand, one hundred thirty-seven".