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10057204837 is a prime number
BaseRepresentation
bin10010101110111010…
…01100010001100101
3221221220101221102001
421113131030101211
5131044121023322
64341544445301
7504140554621
oct112735142145
927856357361
1010057204837
1142a1036939
121b48179831
13c437c90a4
146b59b4181
153dce0c827
hex25774c465

10057204837 has 2 divisors, whose sum is σ = 10057204838. Its totient is φ = 10057204836.

The previous prime is 10057204823. The next prime is 10057204877. The reversal of 10057204837 is 73840275001.

10057204837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8760772801 + 1296432036 = 93599^2 + 36006^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10057204837 is a prime.

It is a super-2 number, since 2×100572048372 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10057204796 and 10057204805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10057204877) 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, 5028602418 + 5028602419.

It is an arithmetic number, because the mean of its divisors is an integer number (5028602419).

Almost surely, 210057204837 is an apocalyptic number.

It is an amenable number.

10057204837 is a deficient number, since it is larger than the sum of its proper divisors (1).

10057204837 is an equidigital number, since it uses as much as digits as its factorization.

10057204837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 37.

Adding to 10057204837 its reverse (73840275001), we get a palindrome (83897479838).

The spelling of 10057204837 in words is "ten billion, fifty-seven million, two hundred four thousand, eight hundred thirty-seven".