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213012333031 is a prime number
BaseRepresentation
bin1100011001100010000…
…1100100000111100111
3202100211012021200200211
43012120201210013213
511442222124124111
6241505001320251
721250433646001
oct3063041440747
9670735250624
10213012333031
11823799aa643
1235349496087
131711911b614
14a44a33b371
15581aa10521
hex31988641e7

213012333031 has 2 divisors, whose sum is σ = 213012333032. Its totient is φ = 213012333030.

The previous prime is 213012333013. The next prime is 213012333043. The reversal of 213012333031 is 130333210312.

Together with previous prime (213012333013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 213012333031 - 27 = 213012332903 is a prime.

It is a super-2 number, since 2×2130123330312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213012332993 and 213012333011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213012433031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106506166515 + 106506166516.

It is an arithmetic number, because the mean of its divisors is an integer number (106506166516).

Almost surely, 2213012333031 is an apocalyptic number.

213012333031 is a deficient number, since it is larger than the sum of its proper divisors (1).

213012333031 is an equidigital number, since it uses as much as digits as its factorization.

213012333031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 213012333031 its reverse (130333210312), we get a palindrome (343345543343).

The spelling of 213012333031 in words is "two hundred thirteen billion, twelve million, three hundred thirty-three thousand, thirty-one".