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101505150041 is a prime number
BaseRepresentation
bin101111010001000101…
…1011010110001011001
3100201000001211212221112
41132202023122301121
53130340304300131
6114344131350105
710222251353021
oct1364213326131
9321001755845
10101505150041
113a059013659
1217809a52335
1397585b5b79
144cacd04a81
15299145002b
hex17a22dac59

101505150041 has 2 divisors, whose sum is σ = 101505150042. Its totient is φ = 101505150040.

The previous prime is 101505150031. The next prime is 101505150067. The reversal of 101505150041 is 140051505101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92646575641 + 8858574400 = 304379^2 + 94120^2 .

It is an emirp because it is prime and its reverse (140051505101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101505150041 - 210 = 101505149017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101505149989 and 101505150016.

It is not a weakly prime, because it can be changed into another prime (101505150031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50752575020 + 50752575021.

It is an arithmetic number, because the mean of its divisors is an integer number (50752575021).

Almost surely, 2101505150041 is an apocalyptic number.

It is an amenable number.

101505150041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101505150041 is an equidigital number, since it uses as much as digits as its factorization.

101505150041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 500, while the sum is 23.

Adding to 101505150041 its reverse (140051505101), we get a palindrome (241556655142).

The spelling of 101505150041 in words is "one hundred one billion, five hundred five million, one hundred fifty thousand, forty-one".