Search a number
-
+
112022100100049 is a prime number
BaseRepresentation
bin11001011110001000101101…
…011110111100001111010001
3112200122012121202122001000012
4121132020231132330033101
5104140332230111200144
61034130124202404305
732411221033003316
oct3136105536741721
9480565552561005
10112022100100049
113276a340107277
1210692772800695
134a6783c3349b9
141d93c8198ad0d
15ce3e429e2e9e
hex65e22d7bc3d1

112022100100049 has 2 divisors, whose sum is σ = 112022100100050. Its totient is φ = 112022100100048.

The previous prime is 112022100099991. The next prime is 112022100100087. The reversal of 112022100100049 is 940001001220211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86245917249424 + 25776182850625 = 9286868^2 + 5077025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112022100100049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112022100099997 and 112022100100033.

It is not a weakly prime, because it can be changed into another prime (112022100100949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56011050050024 + 56011050050025.

It is an arithmetic number, because the mean of its divisors is an integer number (56011050050025).

Almost surely, 2112022100100049 is an apocalyptic number.

It is an amenable number.

112022100100049 is a deficient number, since it is larger than the sum of its proper divisors (1).

112022100100049 is an equidigital number, since it uses as much as digits as its factorization.

112022100100049 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 23.

The spelling of 112022100100049 in words is "one hundred twelve trillion, twenty-two billion, one hundred million, one hundred thousand, forty-nine".