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31122220133 is a prime number
BaseRepresentation
bin11100111111000001…
…110110010001100101
32222022221221120222202
4130333001312101211
51002214242021013
622144121104245
72151144335444
oct347701662145
988287846882
1031122220133
1112220755694
126046928085
132c1ca25894
1417134ccd5b
15c223ed858
hex73f076465

31122220133 has 2 divisors, whose sum is σ = 31122220134. Its totient is φ = 31122220132.

The previous prime is 31122220121. The next prime is 31122220141. The reversal of 31122220133 is 33102222113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21545249089 + 9576971044 = 146783^2 + 97862^2 .

It is a cyclic number.

It is not a de Polignac number, because 31122220133 - 24 = 31122220117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31122220193) 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, 15561110066 + 15561110067.

It is an arithmetic number, because the mean of its divisors is an integer number (15561110067).

Almost surely, 231122220133 is an apocalyptic number.

It is an amenable number.

31122220133 is a deficient number, since it is larger than the sum of its proper divisors (1).

31122220133 is an equidigital number, since it uses as much as digits as its factorization.

31122220133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31122220133 its reverse (33102222113), we get a palindrome (64224442246).

The spelling of 31122220133 in words is "thirty-one billion, one hundred twenty-two million, two hundred twenty thousand, one hundred thirty-three".