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42131000221 = 257163933853
BaseRepresentation
bin100111001111001101…
…000000101110011101
311000202011220120020121
4213033031000232131
51142241014001341
631204341314541
73021021410302
oct471715005635
9130664816217
1042131000221
111695a940052
1281b9705a51
133c8570573b
1420796070a9
151168b244d1
hex9cf340b9d

42131000221 has 4 divisors (see below), whose sum is σ = 42294934332. Its totient is φ = 41967066112.

The previous prime is 42131000209. The next prime is 42131000239. The reversal of 42131000221 is 12200013124.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 40062024025 + 2068976196 = 200155^2 + 45486^2 .

It is a cyclic number.

It is not a de Polignac number, because 42131000221 - 29 = 42130999709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42131000195 and 42131000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42131000201) 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 3 ways as a sum of consecutive naturals, for example, 81966670 + ... + 81967183.

It is an arithmetic number, because the mean of its divisors is an integer number (10573733583).

Almost surely, 242131000221 is an apocalyptic number.

It is an amenable number.

42131000221 is a deficient number, since it is larger than the sum of its proper divisors (163934111).

42131000221 is a wasteful number, since it uses less digits than its factorization.

42131000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163934110.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 42131000221 its reverse (12200013124), we get a palindrome (54331013345).

The spelling of 42131000221 in words is "forty-two billion, one hundred thirty-one million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 257 163933853 42131000221