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114142241 is a prime number
BaseRepresentation
bin1101100110110…
…10110000100001
321221210000201102
412303122300201
5213210022431
615154244145
72554123133
oct663326041
9257700642
10114142241
1159480834
1232286655
131a8558b5
1411233053
15a049dcb
hex6cdac21

114142241 has 2 divisors, whose sum is σ = 114142242. Its totient is φ = 114142240.

The previous prime is 114142211. The next prime is 114142271. The reversal of 114142241 is 142241411.

It is a balanced prime because it is at equal distance from previous prime (114142211) and next prime (114142271).

It can be written as a sum of positive squares in only one way, i.e., 57456400 + 56685841 = 7580^2 + 7529^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114142241 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (114142201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57071120 + 57071121.

It is an arithmetic number, because the mean of its divisors is an integer number (57071121).

Almost surely, 2114142241 is an apocalyptic number.

It is an amenable number.

114142241 is a deficient number, since it is larger than the sum of its proper divisors (1).

114142241 is an equidigital number, since it uses as much as digits as its factorization.

114142241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 256, while the sum is 20.

The square root of 114142241 is about 10683.7372206546. The cubic root of 114142241 is about 485.0823412115.

Adding to 114142241 its reverse (142241411), we get a palindrome (256383652).

The spelling of 114142241 in words is "one hundred fourteen million, one hundred forty-two thousand, two hundred forty-one".