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42122023 is a prime number
BaseRepresentation
bin1010000010101…
…1101100100111
32221021000112221
42200223230213
541240401043
64102453211
71021013506
oct240535447
987230487
1042122023
112185a999
1212134207
13895a698
14584683d
153a708ed
hex282bb27

42122023 has 2 divisors, whose sum is σ = 42122024. Its totient is φ = 42122022.

The previous prime is 42121997. The next prime is 42122027. The reversal of 42122023 is 32022124.

42122023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 42122023 - 25 = 42121991 is a prime.

It is a super-2 number, since 2×421220232 = 3548529643225058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42121988 and 42122006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42122027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21061011 + 21061012.

It is an arithmetic number, because the mean of its divisors is an integer number (21061012).

Almost surely, 242122023 is an apocalyptic number.

42122023 is a deficient number, since it is larger than the sum of its proper divisors (1).

42122023 is an equidigital number, since it uses as much as digits as its factorization.

42122023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42122023 is about 6490.1481493106. The cubic root of 42122023 is about 347.9389701185.

Adding to 42122023 its reverse (32022124), we get a palindrome (74144147).

The spelling of 42122023 in words is "forty-two million, one hundred twenty-two thousand, twenty-three".