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242312000113 is a prime number
BaseRepresentation
bin1110000110101011101…
…0111011001001110001
3212011110010202222220201
43201222322323021301
512432223333000423
6303152215035201
723335501005631
oct3415272731161
9764403688821
10242312000113
1193844897137
123ab6596bb01
1319b08388931
14ba297626c1
156482ded2ad
hex386aebb271

242312000113 has 2 divisors, whose sum is σ = 242312000114. Its totient is φ = 242312000112.

The previous prime is 242312000101. The next prime is 242312000159. The reversal of 242312000113 is 311000213242.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121418796304 + 120893203809 = 348452^2 + 347697^2 .

It is a cyclic number.

It is not a de Polignac number, because 242312000113 - 225 = 242278445681 is a prime.

It is not a weakly prime, because it can be changed into another prime (242312000713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121156000056 + 121156000057.

It is an arithmetic number, because the mean of its divisors is an integer number (121156000057).

Almost surely, 2242312000113 is an apocalyptic number.

It is an amenable number.

242312000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

242312000113 is an equidigital number, since it uses as much as digits as its factorization.

242312000113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 242312000113 its reverse (311000213242), we get a palindrome (553312213355).

The spelling of 242312000113 in words is "two hundred forty-two billion, three hundred twelve million, one hundred thirteen", and thus it is an aban number.