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34100010140041 is a prime number
BaseRepresentation
bin1111100000011100001101…
…11111011100000110001001
311110201221002100002222012001
413300032012333130012021
513432143310043440131
6200305154533351001
710116434016512536
oct760160677340611
9143657070088161
1034100010140041
11a95780781411a
1239a8988498461
131604803b87931
1485c640c29d8d
153e2045d23261
hex1f0386fdc189

34100010140041 has 2 divisors, whose sum is σ = 34100010140042. Its totient is φ = 34100010140040.

The previous prime is 34100010140039. The next prime is 34100010140057. The reversal of 34100010140041 is 14004101000143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33980913369225 + 119096770816 = 5829315^2 + 345104^2 .

It is a cyclic number.

It is not a de Polignac number, because 34100010140041 - 21 = 34100010140039 is a prime.

Together with 34100010140039, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34100010140011) 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, 17050005070020 + 17050005070021.

It is an arithmetic number, because the mean of its divisors is an integer number (17050005070021).

Almost surely, 234100010140041 is an apocalyptic number.

It is an amenable number.

34100010140041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34100010140041 is an equidigital number, since it uses as much as digits as its factorization.

34100010140041 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 19.

Adding to 34100010140041 its reverse (14004101000143), we get a palindrome (48104111140184).

The spelling of 34100010140041 in words is "thirty-four trillion, one hundred billion, ten million, one hundred forty thousand, forty-one".