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114214131337 is a prime number
BaseRepresentation
bin110101001011110110…
…0010101011010001001
3101220210210001000210111
41222113230111122021
53332402304200322
6124245205114321
711152222045435
oct1522754253211
9356723030714
10114214131337
114448a999389
121a1760b89a1
13aa025b2a47
145756b579c5
152e87069177
hex1a97b15689

114214131337 has 2 divisors, whose sum is σ = 114214131338. Its totient is φ = 114214131336.

The previous prime is 114214131323. The next prime is 114214131341. The reversal of 114214131337 is 733131412411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104808235081 + 9405896256 = 323741^2 + 96984^2 .

It is a cyclic number.

It is not a de Polignac number, because 114214131337 - 215 = 114214098569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114214131299 and 114214131308.

It is not a weakly prime, because it can be changed into another prime (114214131037) 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, 57107065668 + 57107065669.

It is an arithmetic number, because the mean of its divisors is an integer number (57107065669).

Almost surely, 2114214131337 is an apocalyptic number.

It is an amenable number.

114214131337 is a deficient number, since it is larger than the sum of its proper divisors (1).

114214131337 is an equidigital number, since it uses as much as digits as its factorization.

114214131337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 31.

Adding to 114214131337 its reverse (733131412411), we get a palindrome (847345543748).

The spelling of 114214131337 in words is "one hundred fourteen billion, two hundred fourteen million, one hundred thirty-one thousand, three hundred thirty-seven".