Search a number
-
+
1010110110041 is a prime number
BaseRepresentation
bin11101011001011110100…
…00010001100101011001
310120120021022101020012002
432230233100101211121
5113022201142010131
62052012125130345
7132656320161344
oct16545720214531
93516238336162
101010110110041
1135a42690723a
121439239b99b5
1374339a29486
1436c6506d45b
151b41e1246cb
hexeb2f411959

1010110110041 has 2 divisors, whose sum is σ = 1010110110042. Its totient is φ = 1010110110040.

The previous prime is 1010110110029. The next prime is 1010110110067. The reversal of 1010110110041 is 1400110110101.

It is a happy number.

1010110110041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 998010990025 + 12099120016 = 999005^2 + 109996^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010110110041 - 222 = 1010105915737 is a prime.

It is a super-2 number, since 2×10101101100412 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1010110110071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055055020 + 505055055021.

It is an arithmetic number, because the mean of its divisors is an integer number (505055055021).

Almost surely, 21010110110041 is an apocalyptic number.

It is an amenable number.

1010110110041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010110110041 is an equidigital number, since it uses as much as digits as its factorization.

1010110110041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1010110110041 its reverse (1400110110101), we get a palindrome (2410220220142).

The spelling of 1010110110041 in words is "one trillion, ten billion, one hundred ten million, one hundred ten thousand, forty-one".