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42114131113 is a prime number
BaseRepresentation
bin100111001110001100…
…101010010010101001
311000201000011112011211
4213032030222102221
51142222204143423
631202535553121
73020425131235
oct471614522251
9130630145154
1042114131113
111695136903a
1281b3b2b7a1
133c8207a412
1420772955c5
1511673e110d
hex9ce32a4a9

42114131113 has 2 divisors, whose sum is σ = 42114131114. Its totient is φ = 42114131112.

The previous prime is 42114131099. The next prime is 42114131131. The reversal of 42114131113 is 31113141124.

Together with next prime (42114131131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26346808489 + 15767322624 = 162317^2 + 125568^2 .

It is a cyclic number.

It is not a de Polignac number, because 42114131113 - 29 = 42114130601 is a prime.

It is not a weakly prime, because it can be changed into another prime (42114131183) 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, 21057065556 + 21057065557.

It is an arithmetic number, because the mean of its divisors is an integer number (21057065557).

Almost surely, 242114131113 is an apocalyptic number.

It is an amenable number.

42114131113 is a deficient number, since it is larger than the sum of its proper divisors (1).

42114131113 is an equidigital number, since it uses as much as digits as its factorization.

42114131113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 22.

Adding to 42114131113 its reverse (31113141124), we get a palindrome (73227272237).

It can be divided in two parts, 421141 and 31113, that added together give a palindrome (452254).

The spelling of 42114131113 in words is "forty-two billion, one hundred fourteen million, one hundred thirty-one thousand, one hundred thirteen".