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10441311131 is a prime number
BaseRepresentation
bin10011011100101100…
…11100001110011011
3222221200011120012002
421232112130032123
5132340433424011
64444025311215
7516513452216
oct115626341633
928850146162
1010441311131
114478936659
12203493550b
13ca5264314
147109dc77d
154119d1c3b
hex26e59c39b

10441311131 has 2 divisors, whose sum is σ = 10441311132. Its totient is φ = 10441311130.

The previous prime is 10441311109. The next prime is 10441311137. The reversal of 10441311131 is 13111314401.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10441311131 is a prime.

It is a super-2 number, since 2×104413111312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10441311137) 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, 5220655565 + 5220655566.

It is an arithmetic number, because the mean of its divisors is an integer number (5220655566).

Almost surely, 210441311131 is an apocalyptic number.

10441311131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10441311131 is an equidigital number, since it uses as much as digits as its factorization.

10441311131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10441311131 its reverse (13111314401), we get a palindrome (23552625532).

The spelling of 10441311131 in words is "ten billion, four hundred forty-one million, three hundred eleven thousand, one hundred thirty-one".