Search a number
-
+
1031122223309 is a prime number
BaseRepresentation
bin11110000000100111010…
…11001000000011001101
310122120111200101011211102
433000103223020003031
5113343214242121214
62105405131432445
7134332112166653
oct17002353100315
93576450334742
101031122223309
11368329682a02
12147a088b5725
1376307cc29a9
1437c99936dd3
151bc4db65bde
hexf013ac80cd

1031122223309 has 2 divisors, whose sum is σ = 1031122223310. Its totient is φ = 1031122223308.

The previous prime is 1031122223269. The next prime is 1031122223381. The reversal of 1031122223309 is 9033222211301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 900215747209 + 130906476100 = 948797^2 + 361810^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1031122223309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1031122223389) 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, 515561111654 + 515561111655.

It is an arithmetic number, because the mean of its divisors is an integer number (515561111655).

Almost surely, 21031122223309 is an apocalyptic number.

It is an amenable number.

1031122223309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031122223309 is an equidigital number, since it uses as much as digits as its factorization.

1031122223309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 1031122223309 in words is "one trillion, thirty-one billion, one hundred twenty-two million, two hundred twenty-three thousand, three hundred nine".