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1010011100041 is a prime number
BaseRepresentation
bin11101011001010010101…
…10100101001110001001
310120120000102002000000001
432230221112211032021
5113022000320200131
62051554231043001
7132654005461426
oct16545126451611
93516012060001
101010011100041
1135a385a31599
121438b6810461
1374322371488
1436c55c58d4d
151b4155b8261
hexeb295a5389

1010011100041 has 2 divisors, whose sum is σ = 1010011100042. Its totient is φ = 1010011100040.

The previous prime is 1010011100039. The next prime is 1010011100051. The reversal of 1010011100041 is 1400011100101.

1010011100041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (1010011100051) can be obtained adding 1010011100041 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 522108850041 + 487902250000 = 722571^2 + 698500^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010011100041 - 21 = 1010011100039 is a prime.

Together with 1010011100039, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1010011100011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005550020 + 505005550021.

It is an arithmetic number, because the mean of its divisors is an integer number (505005550021).

Almost surely, 21010011100041 is an apocalyptic number.

It is an amenable number.

1010011100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010011100041 is an equidigital number, since it uses as much as digits as its factorization.

1010011100041 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 10.

Adding to 1010011100041 its reverse (1400011100101), we get a palindrome (2410022200142).

The spelling of 1010011100041 in words is "one trillion, ten billion, eleven million, one hundred thousand, forty-one".