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114213013 is a prime number
BaseRepresentation
bin1101100111011…
…00000010010101
321221220121210121
412303230002111
5213214304023
615155551541
72554536355
oct663540225
9257817717
10114213013
1159519a22
12322bb5b1
131a87bb85
1411250b65
15a060d5d
hex6cec095

114213013 has 2 divisors, whose sum is σ = 114213014. Its totient is φ = 114213012.

The previous prime is 114212999. The next prime is 114213019. The reversal of 114213013 is 310312411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104714289 + 9498724 = 10233^2 + 3082^2 .

It is a cyclic number.

It is not a de Polignac number, because 114213013 - 225 = 80658581 is a prime.

It is a super-2 number, since 2×1142130132 = 26089224677076338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114213019) 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, 57106506 + 57106507.

It is an arithmetic number, because the mean of its divisors is an integer number (57106507).

Almost surely, 2114213013 is an apocalyptic number.

It is an amenable number.

114213013 is a deficient number, since it is larger than the sum of its proper divisors (1).

114213013 is an equidigital number, since it uses as much as digits as its factorization.

114213013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 114213013 is about 10687.0488442788. The cubic root of 114213013 is about 485.1825762466.

Adding to 114213013 its reverse (310312411), we get a palindrome (424525424).

The spelling of 114213013 in words is "one hundred fourteen million, two hundred thirteen thousand, thirteen".