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10010401417 is a prime number
BaseRepresentation
bin10010101001010101…
…01001101010001001
3221211122100002012001
421110222221222021
5131000130321132
64333153351001
7503032002532
oct112452515211
927748302161
1010010401417
114277679825
121b34568461
13c36bbc963
146ad6ad689
153d8c64ce7
hex254aa9a89

10010401417 has 2 divisors, whose sum is σ = 10010401418. Its totient is φ = 10010401416.

The previous prime is 10010401391. The next prime is 10010401433. The reversal of 10010401417 is 71410401001.

10010401417 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5452936336 + 4557465081 = 73844^2 + 67509^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010401417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010401394 and 10010401403.

It is not a weakly prime, because it can be changed into another prime (10010401477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005200708 + 5005200709.

It is an arithmetic number, because the mean of its divisors is an integer number (5005200709).

Almost surely, 210010401417 is an apocalyptic number.

It is an amenable number.

10010401417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010401417 is an equidigital number, since it uses as much as digits as its factorization.

10010401417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 10010401417 its reverse (71410401001), we get a palindrome (81420802418).

The spelling of 10010401417 in words is "ten billion, ten million, four hundred one thousand, four hundred seventeen".