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104031300133 is a prime number
BaseRepresentation
bin110000011100010111…
…1111010101000100101
3100221112010020121102001
41200320233322220211
53201024003101013
6115442531445301
710341664314055
oct1407057725045
9327463217361
10104031300133
1140134a58602
12181b3a56831
139a6ba6cb37
14506c601565
152a8d0e3ddd
hex1838bfaa25

104031300133 has 2 divisors, whose sum is σ = 104031300134. Its totient is φ = 104031300132.

The previous prime is 104031300127. The next prime is 104031300137. The reversal of 104031300133 is 331003130401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103963039489 + 68260644 = 322433^2 + 8262^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104031300133 is a prime.

It is a super-2 number, since 2×1040313001332 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104031300133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104031300137) 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, 52015650066 + 52015650067.

It is an arithmetic number, because the mean of its divisors is an integer number (52015650067).

Almost surely, 2104031300133 is an apocalyptic number.

It is an amenable number.

104031300133 is a deficient number, since it is larger than the sum of its proper divisors (1).

104031300133 is an equidigital number, since it uses as much as digits as its factorization.

104031300133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 104031300133 its reverse (331003130401), we get a palindrome (435034430534).

The spelling of 104031300133 in words is "one hundred four billion, thirty-one million, three hundred thousand, one hundred thirty-three".