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40342231121233 is a prime number
BaseRepresentation
bin10010010110000111010000…
…10110101111110101010001
312021211200100110011021111211
421023003220112233311101
520241431342131334413
6221444544244540121
711332426044424456
oct1113035026576521
9167750313137454
1040342231121233
1111944053825858
1246367176b1641
1319683437856b2
149d680824782d
1549e5d9bca83d
hex24b0e85afd51

40342231121233 has 2 divisors, whose sum is σ = 40342231121234. Its totient is φ = 40342231121232.

The previous prime is 40342231121221. The next prime is 40342231121243. The reversal of 40342231121233 is 33212113224304.

40342231121233 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 can be written as a sum of positive squares in only one way, i.e., 21200057339904 + 19142173781329 = 4604352^2 + 4375177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40342231121233 is a prime.

It is a super-2 number, since 2×403422311212332 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40342231121195 and 40342231121204.

It is not a weakly prime, because it can be changed into another prime (40342231121243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20171115560616 + 20171115560617.

It is an arithmetic number, because the mean of its divisors is an integer number (20171115560617).

Almost surely, 240342231121233 is an apocalyptic number.

It is an amenable number.

40342231121233 is a deficient number, since it is larger than the sum of its proper divisors (1).

40342231121233 is an equidigital number, since it uses as much as digits as its factorization.

40342231121233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 40342231121233 its reverse (33212113224304), we get a palindrome (73554344345537).

The spelling of 40342231121233 in words is "forty trillion, three hundred forty-two billion, two hundred thirty-one million, one hundred twenty-one thousand, two hundred thirty-three".