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115133106229 is a prime number
BaseRepresentation
bin110101100111001110…
…1111100100000110101
3102000011211020210100121
41223032131330200311
53341243033344404
6124520314011541
711214051153511
oct1531635744065
9360154223317
10115133106229
1144911700869
121a391a16bb1
13ab1aac107b
145802c13141
152edca92e54
hex1ace77c835

115133106229 has 2 divisors, whose sum is σ = 115133106230. Its totient is φ = 115133106228.

The previous prime is 115133106139. The next prime is 115133106241. The reversal of 115133106229 is 922601331511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83058087204 + 32075019025 = 288198^2 + 179095^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-115133106229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 115133106194 and 115133106203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115133106299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57566553114 + 57566553115.

It is an arithmetic number, because the mean of its divisors is an integer number (57566553115).

Almost surely, 2115133106229 is an apocalyptic number.

It is an amenable number.

115133106229 is a deficient number, since it is larger than the sum of its proper divisors (1).

115133106229 is an equidigital number, since it uses as much as digits as its factorization.

115133106229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 115133106229 in words is "one hundred fifteen billion, one hundred thirty-three million, one hundred six thousand, two hundred twenty-nine".