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212333222131 is a prime number
BaseRepresentation
bin1100010111000000001…
…0111101100011110011
3202022001212102021200021
43011300002331203303
511434324301102011
6241313341504311
721224546415562
oct3056002754363
9668055367607
10212333222131
1182060628568
1235199b72097
131703b514254
14a3c407dbd9
1557cb0b7471
hex31700bd8f3

212333222131 has 2 divisors, whose sum is σ = 212333222132. Its totient is φ = 212333222130.

The previous prime is 212333222099. The next prime is 212333222147. The reversal of 212333222131 is 131222333212.

212333222131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 212333222131 - 25 = 212333222099 is a prime.

It is a super-2 number, since 2×2123332221312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212333222096 and 212333222105.

It is not a weakly prime, because it can be changed into another prime (212333222161) 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, 106166611065 + 106166611066.

It is an arithmetic number, because the mean of its divisors is an integer number (106166611066).

Almost surely, 2212333222131 is an apocalyptic number.

212333222131 is a deficient number, since it is larger than the sum of its proper divisors (1).

212333222131 is an equidigital number, since it uses as much as digits as its factorization.

212333222131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 25.

Adding to 212333222131 its reverse (131222333212), we get a palindrome (343555555343).

The spelling of 212333222131 in words is "two hundred twelve billion, three hundred thirty-three million, two hundred twenty-two thousand, one hundred thirty-one".