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113414141 is a prime number
BaseRepresentation
bin1101100001010…
…00111111111101
321220102000221202
412300220333331
5213013223031
615130505245
72545001321
oct660507775
9256360852
10113414141
11590237a5
1231b95225
131a65c379
14110c3981
159e542cb
hex6c28ffd

113414141 has 2 divisors, whose sum is σ = 113414142. Its totient is φ = 113414140.

The previous prime is 113414111. The next prime is 113414143. The reversal of 113414141 is 141414311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66765241 + 46648900 = 8171^2 + 6830^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113414141 is a prime.

Together with 113414143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113414143) 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, 56707070 + 56707071.

It is an arithmetic number, because the mean of its divisors is an integer number (56707071).

Almost surely, 2113414141 is an apocalyptic number.

It is an amenable number.

113414141 is a deficient number, since it is larger than the sum of its proper divisors (1).

113414141 is an equidigital number, since it uses as much as digits as its factorization.

113414141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 20.

The square root of 113414141 is about 10649.6075514547. The cubic root of 113414141 is about 484.0487124548.

Adding to 113414141 its reverse (141414311), we get a palindrome (254828452).

The spelling of 113414141 in words is "one hundred thirteen million, four hundred fourteen thousand, one hundred forty-one".