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214242013 is a prime number
BaseRepresentation
bin11001100010100…
…01001011011101
3112221010121210101
430301101023131
5414321221023
633131541101
75211012166
oct1461211335
9487117711
10214242013
11aaa30217
125b8ba791
133550292b
142064c76d
1513c1e1ad
hexcc512dd

214242013 has 2 divisors, whose sum is σ = 214242014. Its totient is φ = 214242012.

The previous prime is 214242001. The next prime is 214242029. The reversal of 214242013 is 310242412.

214242013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213539769 + 702244 = 14613^2 + 838^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214242013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214242073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107121006 + 107121007.

It is an arithmetic number, because the mean of its divisors is an integer number (107121007).

Almost surely, 2214242013 is an apocalyptic number.

It is an amenable number.

214242013 is a deficient number, since it is larger than the sum of its proper divisors (1).

214242013 is an equidigital number, since it uses as much as digits as its factorization.

214242013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 214242013 is about 14637.0083350390. The cubic root of 214242013 is about 598.3677981473.

Adding to 214242013 its reverse (310242412), we get a palindrome (524484425).

The spelling of 214242013 in words is "two hundred fourteen million, two hundred forty-two thousand, thirteen".