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10221311330311 is a prime number
BaseRepresentation
bin1001010010111101010110…
…1000011000100000000111
31100012010222202112200120211
42110233111220120200013
52314431221200032221
633423334450540251
72103315423535534
oct224572550304007
940163882480524
1010221311330311
1132909198600a4
121190b60597687
13591b33726503
142749dd725d8b
1512ad2e3106e1
hex94bd5a18807

10221311330311 has 2 divisors, whose sum is σ = 10221311330312. Its totient is φ = 10221311330310.

The previous prime is 10221311330303. The next prime is 10221311330449. The reversal of 10221311330311 is 11303311312201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10221311330311 - 23 = 10221311330303 is a prime.

It is a super-2 number, since 2×102213113303112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221311330011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110655665155 + 5110655665156.

It is an arithmetic number, because the mean of its divisors is an integer number (5110655665156).

Almost surely, 210221311330311 is an apocalyptic number.

10221311330311 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221311330311 is an equidigital number, since it uses as much as digits as its factorization.

10221311330311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 10221311330311 its reverse (11303311312201), we get a palindrome (21524622642512).

The spelling of 10221311330311 in words is "ten trillion, two hundred twenty-one billion, three hundred eleven million, three hundred thirty thousand, three hundred eleven".