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10131313189 is a prime number
BaseRepresentation
bin10010110111101111…
…11001001000100101
3222011001212000221211
421123313321020211
5131222104010224
64353153111421
7506030512144
oct113367711045
928131760854
1010131313189
114329953608
121b68b58571
13c55c7589a
146c178575b
153e469a894
hex25bdf9225

10131313189 has 2 divisors, whose sum is σ = 10131313190. Its totient is φ = 10131313188.

The previous prime is 10131313111. The next prime is 10131313201. The reversal of 10131313189 is 98131313101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7830480100 + 2300833089 = 88490^2 + 47967^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131313189 - 221 = 10129216037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10131313189.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131313109) 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, 5065656594 + 5065656595.

It is an arithmetic number, because the mean of its divisors is an integer number (5065656595).

Almost surely, 210131313189 is an apocalyptic number.

It is an amenable number.

10131313189 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131313189 is an equidigital number, since it uses as much as digits as its factorization.

10131313189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 10131313189 in words is "ten billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred eighty-nine".