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212211243131 is a prime number
BaseRepresentation
bin1100010110100011000…
…1101001100001111011
3202021202100220002221112
43011220301221201323
511434102034240011
6241253303230535
721221535542636
oct3055061514173
9667670802845
10212211243131
1181aa8794978
123516514844b
131701c176624
14a3b1baac1d
1557c052058b
hex3168c6987b

212211243131 has 2 divisors, whose sum is σ = 212211243132. Its totient is φ = 212211243130.

The previous prime is 212211243103. The next prime is 212211243137. The reversal of 212211243131 is 131342112212.

212211243131 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 a de Polignac number, because none of the positive numbers 2k-212211243131 is a prime.

It is a super-2 number, since 2×2122112431312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212211243097 and 212211243106.

It is not a weakly prime, because it can be changed into another prime (212211243137) 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, 106105621565 + 106105621566.

It is an arithmetic number, because the mean of its divisors is an integer number (106105621566).

Almost surely, 2212211243131 is an apocalyptic number.

212211243131 is a deficient number, since it is larger than the sum of its proper divisors (1).

212211243131 is an equidigital number, since it uses as much as digits as its factorization.

212211243131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 23.

Adding to 212211243131 its reverse (131342112212), we get a palindrome (343553355343).

The spelling of 212211243131 in words is "two hundred twelve billion, two hundred eleven million, two hundred forty-three thousand, one hundred thirty-one".