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10375110401 is a prime number
BaseRepresentation
bin10011010100110011…
…11001111100000001
3222210001121012212012
421222121321330001
5132222012013101
64433302342305
7515050661165
oct115231717401
928701535765
1010375110401
114444530007
12201672a995
13c94625ba6
14705cc8ca5
1540aca6bbb
hex26a679f01

10375110401 has 2 divisors, whose sum is σ = 10375110402. Its totient is φ = 10375110400.

The previous prime is 10375110313. The next prime is 10375110439. The reversal of 10375110401 is 10401157301.

It is a happy number.

10375110401 is digitally balanced in base 2, 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., 5966017600 + 4409092801 = 77240^2 + 66401^2 .

It is a cyclic number.

It is not a de Polignac number, because 10375110401 - 230 = 9301368577 is a prime.

It is not a weakly prime, because it can be changed into another prime (10375110461) 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, 5187555200 + 5187555201.

It is an arithmetic number, because the mean of its divisors is an integer number (5187555201).

Almost surely, 210375110401 is an apocalyptic number.

It is an amenable number.

10375110401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10375110401 is an equidigital number, since it uses as much as digits as its factorization.

10375110401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 23.

Adding to 10375110401 its reverse (10401157301), we get a palindrome (20776267702).

The spelling of 10375110401 in words is "ten billion, three hundred seventy-five million, one hundred ten thousand, four hundred one".