Search a number
-
+
2112200000149 is a prime number
BaseRepresentation
bin11110101111001000111…
…011100100001010010101
321110220221211221102012011
4132233020323210022111
5234101241200001044
64254155320224221
7305413166525101
oct36571073441225
97426854842164
102112200000149
11744862920638
122a143760b071
131242447929c5
1474333d10901
1539e232e2134
hex1ebc8ee4295

2112200000149 has 2 divisors, whose sum is σ = 2112200000150. Its totient is φ = 2112200000148.

The previous prime is 2112200000143. The next prime is 2112200000201. The reversal of 2112200000149 is 9410000022112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1519734200625 + 592465799524 = 1232775^2 + 769718^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112200000149 - 25 = 2112200000117 is a prime.

It is a super-2 number, since 2×21122000001492 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112200000143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056100000074 + 1056100000075.

It is an arithmetic number, because the mean of its divisors is an integer number (1056100000075).

Almost surely, 22112200000149 is an apocalyptic number.

It is an amenable number.

2112200000149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112200000149 is an equidigital number, since it uses as much as digits as its factorization.

2112200000149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 2112200000149 in words is "two trillion, one hundred twelve billion, two hundred million, one hundred forty-nine", and thus it is an aban number.