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2221310421331 is a prime number
BaseRepresentation
bin100000010100110000011…
…010110010100101010011
321212100120221110002211121
4200110300122302211103
5242343220431440311
64420242251223111
7316325100022231
oct40246032624523
97770527402747
102221310421331
11787063906a41
122ba608447a97
131316128a46c1
1479724ccb951
153cbac26ab71
hex205306b2953

2221310421331 has 2 divisors, whose sum is σ = 2221310421332. Its totient is φ = 2221310421330.

The previous prime is 2221310421301. The next prime is 2221310421347. The reversal of 2221310421331 is 1331240131222.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2221310421331 - 27 = 2221310421203 is a prime.

It is a super-2 number, since 2×22213104213312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2221310421296 and 2221310421305.

It is not a weakly prime, because it can be changed into another prime (2221310421301) 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, 1110655210665 + 1110655210666.

It is an arithmetic number, because the mean of its divisors is an integer number (1110655210666).

Almost surely, 22221310421331 is an apocalyptic number.

2221310421331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221310421331 is an equidigital number, since it uses as much as digits as its factorization.

2221310421331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 2221310421331 its reverse (1331240131222), we get a palindrome (3552550552553).

The spelling of 2221310421331 in words is "two trillion, two hundred twenty-one billion, three hundred ten million, four hundred twenty-one thousand, three hundred thirty-one".