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103131100057 is a prime number
BaseRepresentation
bin110000000001100010…
…1111011001110011001
3100212012101100201001111
41200003011323032121
53142203030200212
6115213333220321
710310453613046
oct1400305731631
9325171321044
10103131100057
113a8128a99a7
1217ba24916a1
13995740637b
144dc4c321cd
152a39077ea7
hex180317b399

103131100057 has 2 divisors, whose sum is σ = 103131100058. Its totient is φ = 103131100056.

The previous prime is 103131100043. The next prime is 103131100067. The reversal of 103131100057 is 750001131301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97226099721 + 5905000336 = 311811^2 + 76844^2 .

It is a cyclic number.

It is not a de Polignac number, because 103131100057 - 215 = 103131067289 is a prime.

It is not a weakly prime, because it can be changed into another prime (103131100067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51565550028 + 51565550029.

It is an arithmetic number, because the mean of its divisors is an integer number (51565550029).

Almost surely, 2103131100057 is an apocalyptic number.

It is an amenable number.

103131100057 is a deficient number, since it is larger than the sum of its proper divisors (1).

103131100057 is an equidigital number, since it uses as much as digits as its factorization.

103131100057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 22.

Adding to 103131100057 its reverse (750001131301), we get a palindrome (853132231358).

The spelling of 103131100057 in words is "one hundred three billion, one hundred thirty-one million, one hundred thousand, fifty-seven".