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10400302105841 is a prime number
BaseRepresentation
bin1001011101011000001001…
…0100000000010011110001
31100211020222221021012010102
42113112002110000103301
52330344304314341331
634041455520242145
72122253116165334
oct227260224002361
940736887235112
1010400302105841
11334a81a448a6a
1211bb794170355
135a598a250ccb
1427d53d49261b
151308081144cb
hex975825004f1

10400302105841 has 2 divisors, whose sum is σ = 10400302105842. Its totient is φ = 10400302105840.

The previous prime is 10400302105757. The next prime is 10400302105891. The reversal of 10400302105841 is 14850120300401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10231496166241 + 168805939600 = 3198671^2 + 410860^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10400302105841 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10400302105891) 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, 5200151052920 + 5200151052921.

It is an arithmetic number, because the mean of its divisors is an integer number (5200151052921).

Almost surely, 210400302105841 is an apocalyptic number.

It is an amenable number.

10400302105841 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400302105841 is an equidigital number, since it uses as much as digits as its factorization.

10400302105841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 10400302105841 in words is "ten trillion, four hundred billion, three hundred two million, one hundred five thousand, eight hundred forty-one".