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111010100041 is a prime number
BaseRepresentation
bin110011101100010110…
…1111011001101001001
3101121112111002101010201
41213120231323031021
53304322041200131
6122555231412201
711006635165351
oct1473055731511
9347474071121
10111010100041
1143096342235
1219621084061
13a611862339
1455313ddb61
152d4ab21761
hex19d8b7b349

111010100041 has 2 divisors, whose sum is σ = 111010100042. Its totient is φ = 111010100040.

The previous prime is 111010100027. The next prime is 111010100059. The reversal of 111010100041 is 140001010111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81427476025 + 29582624016 = 285355^2 + 171996^2 .

It is a cyclic number.

It is not a de Polignac number, because 111010100041 - 27 = 111010099913 is a prime.

It is a super-2 number, since 2×1110101000412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111010106041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505050020 + 55505050021.

It is an arithmetic number, because the mean of its divisors is an integer number (55505050021).

Almost surely, 2111010100041 is an apocalyptic number.

It is an amenable number.

111010100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

111010100041 is an equidigital number, since it uses as much as digits as its factorization.

111010100041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111010100041 its reverse (140001010111), we get a palindrome (251011110152).

The spelling of 111010100041 in words is "one hundred eleven billion, ten million, one hundred thousand, forty-one".