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113023033117 is a prime number
BaseRepresentation
bin110100101000010110…
…0101001111100011101
3101210201202202222012121
41221100230221330131
53322432344024432
6123531055502541
711110546634041
oct1512054517435
9353652688177
10113023033117
1143a29612695
1219aa3227a51
13a8728b72b7
1456828a4021
152e176db197
hex1a50b29f1d

113023033117 has 2 divisors, whose sum is σ = 113023033118. Its totient is φ = 113023033116.

The previous prime is 113023033093. The next prime is 113023033141. The reversal of 113023033117 is 711330320311.

It is a balanced prime because it is at equal distance from previous prime (113023033093) and next prime (113023033141).

It can be written as a sum of positive squares in only one way, i.e., 112878528676 + 144504441 = 335974^2 + 12021^2 .

It is a cyclic number.

It is not a de Polignac number, because 113023033117 - 27 = 113023032989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113023033091 and 113023033100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113023033177) 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, 56511516558 + 56511516559.

It is an arithmetic number, because the mean of its divisors is an integer number (56511516559).

Almost surely, 2113023033117 is an apocalyptic number.

It is an amenable number.

113023033117 is a deficient number, since it is larger than the sum of its proper divisors (1).

113023033117 is an equidigital number, since it uses as much as digits as its factorization.

113023033117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 113023033117 its reverse (711330320311), we get a palindrome (824353353428).

The spelling of 113023033117 in words is "one hundred thirteen billion, twenty-three million, thirty-three thousand, one hundred seventeen".