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42182113 is a prime number
BaseRepresentation
bin1010000011101…
…0010111100001
32221101001222111
42200322113201
541244311423
64104035321
71021353631
oct240722741
987331874
1042182113
11218a1056
1212162b41
13897bb3c
1458606c1
153a8360d
hex283a5e1

42182113 has 2 divisors, whose sum is σ = 42182114. Its totient is φ = 42182112.

The previous prime is 42182111. The next prime is 42182123. The reversal of 42182113 is 31128124.

42182113 = 45922 + 45932.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21095649 + 21086464 = 4593^2 + 4592^2 .

It is a cyclic number.

It is not a de Polignac number, because 42182113 - 21 = 42182111 is a prime.

Together with 42182111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (42182111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21091056 + 21091057.

It is an arithmetic number, because the mean of its divisors is an integer number (21091057).

Almost surely, 242182113 is an apocalyptic number.

42182113 is the 4593-rd centered square number.

It is an amenable number.

42182113 is a deficient number, since it is larger than the sum of its proper divisors (1).

42182113 is an equidigital number, since it uses as much as digits as its factorization.

42182113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 22.

The square root of 42182113 is about 6494.7758236909. The cubic root of 42182113 is about 348.1043445634.

The spelling of 42182113 in words is "forty-two million, one hundred eighty-two thousand, one hundred thirteen".