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114114349 is a prime number
BaseRepresentation
bin1101100110100…
…11111100101101
321221201121110101
412303103330231
5213203124344
615153511101
72553645616
oct663237455
9257647411
10114114349
1159461888
1232272491
131a845cab
1411226c0d
15a0419d4
hex6cd3f2d

114114349 has 2 divisors, whose sum is σ = 114114350. Its totient is φ = 114114348.

The previous prime is 114114311. The next prime is 114114359. The reversal of 114114349 is 943411411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93954249 + 20160100 = 9693^2 + 4490^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114114349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114114359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57057174 + 57057175.

It is an arithmetic number, because the mean of its divisors is an integer number (57057175).

Almost surely, 2114114349 is an apocalyptic number.

It is an amenable number.

114114349 is a deficient number, since it is larger than the sum of its proper divisors (1).

114114349 is an equidigital number, since it uses as much as digits as its factorization.

114114349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 28.

The square root of 114114349 is about 10682.4317924338. The cubic root of 114114349 is about 485.0428261329.

The spelling of 114114349 in words is "one hundred fourteen million, one hundred fourteen thousand, three hundred forty-nine".