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202212102222049 is a prime number
BaseRepresentation
bin101101111110100100101100…
…100001011011000011100001
3222111222021210002020011200011
4231332210230201123003201
5203001020341132101144
61554022542441124521
760410225254052023
oct5576445441330341
9874867702204604
10202212102222049
1159481742055937
121a81a087a89741
1388aa69a217c4a
1437d11919c2013
15185a002c04a34
hexb7e92c85b0e1

202212102222049 has 2 divisors, whose sum is σ = 202212102222050. Its totient is φ = 202212102222048.

The previous prime is 202212102221959. The next prime is 202212102222071. The reversal of 202212102222049 is 940222201212202.

202212102222049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186297930810000 + 15914171412049 = 13649100^2 + 3989257^2 .

It is a cyclic number.

It is not a de Polignac number, because 202212102222049 - 213 = 202212102213857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202212102222049.

It is not a weakly prime, because it can be changed into another prime (202212112222049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101106051111024 + 101106051111025.

It is an arithmetic number, because the mean of its divisors is an integer number (101106051111025).

Almost surely, 2202212102222049 is an apocalyptic number.

It is an amenable number.

202212102222049 is a deficient number, since it is larger than the sum of its proper divisors (1).

202212102222049 is an equidigital number, since it uses as much as digits as its factorization.

202212102222049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 202212102222049 in words is "two hundred two trillion, two hundred twelve billion, one hundred two million, two hundred twenty-two thousand, forty-nine".