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36124042133 is a prime number
BaseRepresentation
bin100001101001001010…
…010010001110010101
310110020112202110212102
4201221022102032111
51042440223322013
624332315331445
72416121202044
oct415112221625
9113215673772
1036124042133
1114358097583
127001a50b85
13353907187a
141a6990655b
15e165b4d58
hex869292395

36124042133 has 2 divisors, whose sum is σ = 36124042134. Its totient is φ = 36124042132.

The previous prime is 36124042091. The next prime is 36124042147. The reversal of 36124042133 is 33124042163.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35674898884 + 449143249 = 188878^2 + 21193^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36124042133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36124042096 and 36124042105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36124041133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18062021066 + 18062021067.

It is an arithmetic number, because the mean of its divisors is an integer number (18062021067).

Almost surely, 236124042133 is an apocalyptic number.

It is an amenable number.

36124042133 is a deficient number, since it is larger than the sum of its proper divisors (1).

36124042133 is an equidigital number, since it uses as much as digits as its factorization.

36124042133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 36124042133 its reverse (33124042163), we get a palindrome (69248084296).

The spelling of 36124042133 in words is "thirty-six billion, one hundred twenty-four million, forty-two thousand, one hundred thirty-three".