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1001110111061 is a prime number
BaseRepresentation
bin11101001000101101101…
…00000000001101010101
310112201001002021220120112
432210112310000031111
5112400233142023221
62043523104012405
7132220304353304
oct16442664001525
93481032256515
101001110111061
11356628616855
12142031901105
13735342797a8
143664da5843b
151b093e4815b
hexe916d00355

1001110111061 has 2 divisors, whose sum is σ = 1001110111062. Its totient is φ = 1001110111060.

The previous prime is 1001110110971. The next prime is 1001110111091. The reversal of 1001110111061 is 1601110111001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 996590910436 + 4519200625 = 998294^2 + 67225^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001110111061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001110111091) 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, 500555055530 + 500555055531.

It is an arithmetic number, because the mean of its divisors is an integer number (500555055531).

Almost surely, 21001110111061 is an apocalyptic number.

It is an amenable number.

1001110111061 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001110111061 is an equidigital number, since it uses as much as digits as its factorization.

1001110111061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 1001110111061 its reverse (1601110111001), we get a palindrome (2602220222062).

The spelling of 1001110111061 in words is "one trillion, one billion, one hundred ten million, one hundred eleven thousand, sixty-one".