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218136013 is a prime number
BaseRepresentation
bin11010000000001…
…11110111001101
3120012110110100121
431000013313031
5421320323023
633351224541
75256061024
oct1500076715
9505413317
10218136013
1110214a8a7
1261078151
1336267184
1420d838bb
151423cd5d
hexd007dcd

218136013 has 2 divisors, whose sum is σ = 218136014. Its totient is φ = 218136012.

The previous prime is 218136007. The next prime is 218136019. The reversal of 218136013 is 310631812.

218136013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (218136007) and next prime (218136019).

It can be written as a sum of positive squares in only one way, i.e., 217208644 + 927369 = 14738^2 + 963^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-218136013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218136019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109068006 + 109068007.

It is an arithmetic number, because the mean of its divisors is an integer number (109068007).

Almost surely, 2218136013 is an apocalyptic number.

It is an amenable number.

218136013 is a deficient number, since it is larger than the sum of its proper divisors (1).

218136013 is an equidigital number, since it uses as much as digits as its factorization.

218136013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 218136013 is about 14769.4283233983. The cubic root of 218136013 is about 601.9713059763.

Adding to 218136013 its reverse (310631812), we get a palindrome (528767825).

The spelling of 218136013 in words is "two hundred eighteen million, one hundred thirty-six thousand, thirteen".