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31224442213 is a prime number
BaseRepresentation
bin11101000101000111…
…110010110101100101
32222121002022000022201
4131011013302311211
51002421424122323
622202212054501
72153525244136
oct350507626545
988532260281
1031224442213
1112273424648
126075004431
132c37c66913
141722cdbc8d
15c2b3918ad
hex7451f2d65

31224442213 has 2 divisors, whose sum is σ = 31224442214. Its totient is φ = 31224442212.

The previous prime is 31224442211. The next prime is 31224442229.

31224442213 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31222183204 + 2259009 = 176698^2 + 1503^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 31224442213 - 21 = 31224442211 is a prime.

Together with 31224442211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31224442211) 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, 15612221106 + 15612221107.

It is an arithmetic number, because the mean of its divisors is an integer number (15612221107).

Almost surely, 231224442213 is an apocalyptic number.

It is an amenable number.

31224442213 is a deficient number, since it is larger than the sum of its proper divisors (1).

31224442213 is an equidigital number, since it uses as much as digits as its factorization.

31224442213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9216, while the sum is 28.

The spelling of 31224442213 in words is "thirty-one billion, two hundred twenty-four million, four hundred forty-two thousand, two hundred thirteen".