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2221110100031 is a prime number
BaseRepresentation
bin100000010100100100011…
…110101000000000111111
321212100001222111201200012
4200110210132220000333
5242342313141200111
64420210333453435
7316320115226144
oct40244436500077
97770058451605
102221110100031
11786a70824649
122ba57134127b
131315b02370a4
14797064643cb
153cb9989b48b
hex205247a803f

2221110100031 has 2 divisors, whose sum is σ = 2221110100032. Its totient is φ = 2221110100030.

The previous prime is 2221110100019. The next prime is 2221110100081. The reversal of 2221110100031 is 1300010111222.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2221110100031 - 218 = 2221109837887 is a prime.

It is a super-2 number, since 2×22211101000312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2221110099979 and 2221110100015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221110100081) 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, 1110555050015 + 1110555050016.

It is an arithmetic number, because the mean of its divisors is an integer number (1110555050016).

Almost surely, 22221110100031 is an apocalyptic number.

2221110100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221110100031 is an equidigital number, since it uses as much as digits as its factorization.

2221110100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2221110100031 its reverse (1300010111222), we get a palindrome (3521120211253).

The spelling of 2221110100031 in words is "two trillion, two hundred twenty-one billion, one hundred ten million, one hundred thousand, thirty-one".