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42130421321 = 29472657661
BaseRepresentation
bin100111001111001010…
…110011011001001001
311000202010211011010212
4213033022303121021
51142240341440241
631204321050505
73021013446452
oct471712633111
9130663734125
1042130421321
111695a58511a
1281b9486a35
133c855620b1
1420794d6129
151168a5cbeb
hex9cf2b3649

42130421321 has 12 divisors (see below), whose sum is σ = 44530294020. Its totient is φ = 39812105760.

The previous prime is 42130421303. The next prime is 42130421323. The reversal of 42130421321 is 12312403124.

It can be written as a sum of positive squares in 2 ways, for example, as 29268366400 + 12862054921 = 171080^2 + 113411^2 .

It is a de Polignac number, because none of the positive numbers 2k-42130421321 is a prime.

It is a super-3 number, since 3×421304213213 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42130421323) 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 in 11 ways as a sum of consecutive naturals, for example, 264770 + ... + 392891.

It is an arithmetic number, because the mean of its divisors is an integer number (3710857835).

Almost surely, 242130421321 is an apocalyptic number.

It is an amenable number.

42130421321 is a deficient number, since it is larger than the sum of its proper divisors (2399872699).

42130421321 is an equidigital number, since it uses as much as digits as its factorization.

42130421321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657784 (or 657737 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 42130421321 its reverse (12312403124), we get a palindrome (54442824445).

The spelling of 42130421321 in words is "forty-two billion, one hundred thirty million, four hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 29 47 1363 2209 64061 657661 19072169 30910067 896391943 1452773149 42130421321