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42123832081 is a prime number
BaseRepresentation
bin100111001110110001…
…101010101100010001
311000201200102101101221
4213032301222230101
51142232200111311
631203523525041
73020603444032
oct471661525421
9130650371357
1042123832081
1116956894571
1281b7229781
133c84095b36
14207869ca89
1511681aa671
hex9cec6ab11

42123832081 has 2 divisors, whose sum is σ = 42123832082. Its totient is φ = 42123832080.

The previous prime is 42123832061. The next prime is 42123832133. The reversal of 42123832081 is 18023832124.

It is a happy number.

42123832081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35549217025 + 6574615056 = 188545^2 + 81084^2 .

It is a cyclic number.

It is not a de Polignac number, because 42123832081 - 227 = 41989614353 is a prime.

It is a super-2 number, since 2×421238320812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42123832001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21061916040 + 21061916041.

It is an arithmetic number, because the mean of its divisors is an integer number (21061916041).

Almost surely, 242123832081 is an apocalyptic number.

It is an amenable number.

42123832081 is a deficient number, since it is larger than the sum of its proper divisors (1).

42123832081 is an equidigital number, since it uses as much as digits as its factorization.

42123832081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 42123832081 in words is "forty-two billion, one hundred twenty-three million, eight hundred thirty-two thousand, eighty-one".