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2730000113 is a prime number
BaseRepresentation
bin1010001010111000…
…0111111011110001
321001020222101010022
42202232013323301
521042340000423
61130521213225
7124436422001
oct24256077361
97036871108
102730000113
111181017545
12642331215
1334678b7a9
141bc802001
1510ea0ddc8
hexa2b87ef1

2730000113 has 2 divisors, whose sum is σ = 2730000114. Its totient is φ = 2730000112.

The previous prime is 2730000083. The next prime is 2730000253. The reversal of 2730000113 is 3110000372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2458969744 + 271030369 = 49588^2 + 16463^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2730000113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2730000091 and 2730000100.

It is not a weakly prime, because it can be changed into another prime (2730020113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1365000056 + 1365000057.

It is an arithmetic number, because the mean of its divisors is an integer number (1365000057).

Almost surely, 22730000113 is an apocalyptic number.

It is an amenable number.

2730000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2730000113 is an equidigital number, since it uses as much as digits as its factorization.

2730000113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 2730000113 is about 52249.4029918046. The cubic root of 2730000113 is about 1397.6150061470.

Adding to 2730000113 its reverse (3110000372), we get a palindrome (5840000485).

The spelling of 2730000113 in words is "two billion, seven hundred thirty million, one hundred thirteen", and thus it is an aban number.