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114234005213 is a prime number
BaseRepresentation
bin110101001100011100…
…0001001011011011101
3101220212011102201121222
41222120320021123131
53332422401131323
6124251155103125
711152553010656
oct1523070113335
9356764381558
10114234005213
11444a0132979
121a1808a1aa5
13aa06750933
14575964c52d
152e88b929c8
hex1a98e096dd

114234005213 has 2 divisors, whose sum is σ = 114234005214. Its totient is φ = 114234005212.

The previous prime is 114234005191. The next prime is 114234005233. The reversal of 114234005213 is 312500432411.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107713927204 + 6520078009 = 328198^2 + 80747^2 .

It is a cyclic number.

It is not a de Polignac number, because 114234005213 - 218 = 114233743069 is a prime.

It is a super-3 number, since 3×1142340052133 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114234005233) 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, 57117002606 + 57117002607.

It is an arithmetic number, because the mean of its divisors is an integer number (57117002607).

Almost surely, 2114234005213 is an apocalyptic number.

It is an amenable number.

114234005213 is a deficient number, since it is larger than the sum of its proper divisors (1).

114234005213 is an equidigital number, since it uses as much as digits as its factorization.

114234005213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 114234005213 its reverse (312500432411), we get a palindrome (426734437624).

The spelling of 114234005213 in words is "one hundred fourteen billion, two hundred thirty-four million, five thousand, two hundred thirteen".