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1113330000113 is a prime number
BaseRepresentation
bin10000001100110111101…
…000111010000011110001
310221102200212210221020122
4100030313220322003301
5121220044440000423
62211242353420025
7143302232600432
oct20146750720361
93842625727218
101113330000113
1139a184840411
1215b92bb6a615
1380ca964cac6
143bc579b5489
151de60d8a8c8
hex10337a3a0f1

1113330000113 has 2 divisors, whose sum is σ = 1113330000114. Its totient is φ = 1113330000112.

The previous prime is 1113329999981. The next prime is 1113330000131. The reversal of 1113330000113 is 3110000333111.

Together with next prime (1113330000131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 657343128289 + 455986871824 = 810767^2 + 675268^2 .

It is a cyclic number.

It is not a de Polignac number, because 1113330000113 - 28 = 1113329999857 is a prime.

It is a super-2 number, since 2×11133300001132 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1113330000091 and 1113330000100.

It is not a weakly prime, because it can be changed into another prime (1113330003113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 556665000056 + 556665000057.

It is an arithmetic number, because the mean of its divisors is an integer number (556665000057).

Almost surely, 21113330000113 is an apocalyptic number.

It is an amenable number.

1113330000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1113330000113 is an equidigital number, since it uses as much as digits as its factorization.

1113330000113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1113330000113 its reverse (3110000333111), we get a palindrome (4223330333224).

The spelling of 1113330000113 in words is "one trillion, one hundred thirteen billion, three hundred thirty million, one hundred thirteen", and thus it is an aban number.