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102124332337 is a prime number
BaseRepresentation
bin101111100011100010…
…1011010010100110001
3100202121012221121101011
41133013011122110301
53133122312113322
6114525410510521
710243510334146
oct1370705322461
9322535847334
10102124332337
113a346583465
1217961295441
139826969921
144d2b2423cd
1529ca9ab677
hex17c715a531

102124332337 has 2 divisors, whose sum is σ = 102124332338. Its totient is φ = 102124332336.

The previous prime is 102124332319. The next prime is 102124332341. The reversal of 102124332337 is 733233421201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86907629601 + 15216702736 = 294801^2 + 123356^2 .

It is a cyclic number.

It is not a de Polignac number, because 102124332337 - 27 = 102124332209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102124332299 and 102124332308.

It is not a weakly prime, because it can be changed into another prime (102124332137) 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, 51062166168 + 51062166169.

It is an arithmetic number, because the mean of its divisors is an integer number (51062166169).

Almost surely, 2102124332337 is an apocalyptic number.

It is an amenable number.

102124332337 is a deficient number, since it is larger than the sum of its proper divisors (1).

102124332337 is an equidigital number, since it uses as much as digits as its factorization.

102124332337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 31.

Adding to 102124332337 its reverse (733233421201), we get a palindrome (835357753538).

The spelling of 102124332337 in words is "one hundred two billion, one hundred twenty-four million, three hundred thirty-two thousand, three hundred thirty-seven".