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212312013131 is a prime number
BaseRepresentation
bin1100010110111011001…
…0000011100101001011
3202022000101111202101202
43011232302003211023
511434303333410011
6241311303134415
721224201223011
oct3055662034513
9668011452352
10212312013131
118204a661969
1235192a4440b
1317036cc974a
14a3c131c8b1
1557c92c823b
hex316ec8394b

212312013131 has 2 divisors, whose sum is σ = 212312013132. Its totient is φ = 212312013130.

The previous prime is 212312013113. The next prime is 212312013161. The reversal of 212312013131 is 131310213212.

It is a happy number.

212312013131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (212312013113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 212312013131 - 214 = 212311996747 is a prime.

It is a super-2 number, since 2×2123120131312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212312013161) 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, 106156006565 + 106156006566.

It is an arithmetic number, because the mean of its divisors is an integer number (106156006566).

Almost surely, 2212312013131 is an apocalyptic number.

212312013131 is a deficient number, since it is larger than the sum of its proper divisors (1).

212312013131 is an equidigital number, since it uses as much as digits as its factorization.

212312013131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 212312013131 its reverse (131310213212), we get a palindrome (343622226343).

The spelling of 212312013131 in words is "two hundred twelve billion, three hundred twelve million, thirteen thousand, one hundred thirty-one".