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105001142041 is a prime number
BaseRepresentation
bin110000111001010001…
…1100100011100011001
3101001000201011200101201
41201302203210130121
53210020243021131
6120123054514201
710405011660355
oct1416243443431
9331021150351
10105001142041
1140592453144
1218424805961
139b9497b0a3
14512133c465
152ae8319761
hex18728e4719

105001142041 has 2 divisors, whose sum is σ = 105001142042. Its totient is φ = 105001142040.

The previous prime is 105001142023. The next prime is 105001142069. The reversal of 105001142041 is 140241100501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95651025625 + 9350116416 = 309275^2 + 96696^2 .

It is an emirp because it is prime and its reverse (140241100501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105001142041 - 211 = 105001139993 is a prime.

It is a super-2 number, since 2×1050011420412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105001142941) 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, 52500571020 + 52500571021.

It is an arithmetic number, because the mean of its divisors is an integer number (52500571021).

Almost surely, 2105001142041 is an apocalyptic number.

It is an amenable number.

105001142041 is a deficient number, since it is larger than the sum of its proper divisors (1).

105001142041 is an equidigital number, since it uses as much as digits as its factorization.

105001142041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 105001142041 its reverse (140241100501), we get a palindrome (245242242542).

The spelling of 105001142041 in words is "one hundred five billion, one million, one hundred forty-two thousand, forty-one".