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213330112031 is a prime number
BaseRepresentation
bin1100011010101101110…
…1110010111000011111
3202101122100020112112102
43012223131302320133
511443400002041111
6242000312355315
721261343014251
oct3065335627037
9671570215472
10213330112031
1182522317713
12354179a5b3b
1317169c0292a
14a47a61bcd1
15583888213b
hex31ab772e1f

213330112031 has 2 divisors, whose sum is σ = 213330112032. Its totient is φ = 213330112030.

The previous prime is 213330112013. The next prime is 213330112043. The reversal of 213330112031 is 130211033312.

Together with previous prime (213330112013) 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 a de Polignac number, because none of the positive numbers 2k-213330112031 is a prime.

It is a super-2 number, since 2×2133301120312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213330111994 and 213330112012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213330112231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106665056015 + 106665056016.

It is an arithmetic number, because the mean of its divisors is an integer number (106665056016).

Almost surely, 2213330112031 is an apocalyptic number.

213330112031 is a deficient number, since it is larger than the sum of its proper divisors (1).

213330112031 is an equidigital number, since it uses as much as digits as its factorization.

213330112031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 213330112031 its reverse (130211033312), we get a palindrome (343541145343).

The spelling of 213330112031 in words is "two hundred thirteen billion, three hundred thirty million, one hundred twelve thousand, thirty-one".