Search a number
-
+
223123075047149 is a prime number
BaseRepresentation
bin110010101110110111100011…
…101000010001111011101101
31002021000100122201210000211212
4302232313203220101323231
5213221122024203002044
62110313154200324205
764666052541256124
oct6256674350217355
91067010581700755
10223123075047149
1165103a6806a662
12210368b6473665
1397665533892a4
143d15300660abb
151abde23589a9e
hexcaede3a11eed

223123075047149 has 2 divisors, whose sum is σ = 223123075047150. Its totient is φ = 223123075047148.

The previous prime is 223123075047139. The next prime is 223123075047163. The reversal of 223123075047149 is 941740570321322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 144348450540100 + 78774624507049 = 12014510^2 + 8875507^2 .

It is a cyclic number.

It is not a de Polignac number, because 223123075047149 - 24 = 223123075047133 is a prime.

It is a super-3 number, since 3×2231230750471493 (a number of 44 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223123075047097 and 223123075047106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223123075047139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111561537523574 + 111561537523575.

It is an arithmetic number, because the mean of its divisors is an integer number (111561537523575).

Almost surely, 2223123075047149 is an apocalyptic number.

It is an amenable number.

223123075047149 is a deficient number, since it is larger than the sum of its proper divisors (1).

223123075047149 is an equidigital number, since it uses as much as digits as its factorization.

223123075047149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 223123075047149 in words is "two hundred twenty-three trillion, one hundred twenty-three billion, seventy-five million, forty-seven thousand, one hundred forty-nine".