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40122742181 is a prime number
BaseRepresentation
bin100101010111100000…
…000111010110100101
310211120020000111010012
4211113200013112211
51124132410222211
630233201340005
72620164452504
oct452740072645
9124506014105
1040122742181
111601a273065
127939037605
133a25629682
141d289dc83b
15109c67ed8b
hex9578075a5

40122742181 has 2 divisors, whose sum is σ = 40122742182. Its totient is φ = 40122742180.

The previous prime is 40122742171. The next prime is 40122742189. The reversal of 40122742181 is 18124722104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34436224900 + 5686517281 = 185570^2 + 75409^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40122742181 is a prime.

It is a super-2 number, since 2×401227421812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40122742189) 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, 20061371090 + 20061371091.

It is an arithmetic number, because the mean of its divisors is an integer number (20061371091).

Almost surely, 240122742181 is an apocalyptic number.

It is an amenable number.

40122742181 is a deficient number, since it is larger than the sum of its proper divisors (1).

40122742181 is an equidigital number, since it uses as much as digits as its factorization.

40122742181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7168, while the sum is 32.

The spelling of 40122742181 in words is "forty billion, one hundred twenty-two million, seven hundred forty-two thousand, one hundred eighty-one".