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1113000113 is a prime number
BaseRepresentation
bin100001001010111…
…0000100010110001
32212120022021010102
41002111300202301
54234412000423
6302235242145
736403226201
oct10225604261
92776267112
101113000113
11521294505
122708a9355
13149782c64
14a7b64401
1567aa2c28
hex425708b1

1113000113 has 2 divisors, whose sum is σ = 1113000114. Its totient is φ = 1113000112.

The previous prime is 1113000101. The next prime is 1113000151. The reversal of 1113000113 is 3110003111.

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., 1038643984 + 74356129 = 32228^2 + 8623^2 .

It is a cyclic number.

It is not a de Polignac number, because 1113000113 - 28 = 1112999857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1113000094 and 1113000103.

It is not a weakly prime, because it can be changed into another prime (1113000913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 556500056 + 556500057.

It is an arithmetic number, because the mean of its divisors is an integer number (556500057).

Almost surely, 21113000113 is an apocalyptic number.

It is an amenable number.

1113000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1113000113 is an equidigital number, since it uses as much as digits as its factorization.

1113000113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1113000113 is about 33361.6563287856. The cubic root of 1113000113 is about 1036.3307931436.

Adding to 1113000113 its reverse (3110003111), we get a palindrome (4223003224).

The spelling of 1113000113 in words is "one billion, one hundred thirteen million, one hundred thirteen", and thus it is an aban number.