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213302332031 is a prime number
BaseRepresentation
bin1100011010100111001…
…1110100101001111111
3202101120101222011112112
43012221303310221333
511443320344111111
6241553441124235
721260554623065
oct3065163645177
9671511864475
10213302332031
1182508673138
123540a62967b
1317164227269
14a476a6a035
1558361e5e8b
hex31a9cf4a7f

213302332031 has 2 divisors, whose sum is σ = 213302332032. Its totient is φ = 213302332030.

The previous prime is 213302332003. The next prime is 213302332037. The reversal of 213302332031 is 130233203312.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 213302332031 - 210 = 213302331007 is a prime.

It is a super-2 number, since 2×2133023320312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213302331988 and 213302332006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213302332037) 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, 106651166015 + 106651166016.

It is an arithmetic number, because the mean of its divisors is an integer number (106651166016).

Almost surely, 2213302332031 is an apocalyptic number.

213302332031 is a deficient number, since it is larger than the sum of its proper divisors (1).

213302332031 is an equidigital number, since it uses as much as digits as its factorization.

213302332031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 213302332031 its reverse (130233203312), we get a palindrome (343535535343).

The spelling of 213302332031 in words is "two hundred thirteen billion, three hundred two million, three hundred thirty-two thousand, thirty-one".