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331010224133 is a prime number
BaseRepresentation
bin1001101000100011011…
…11110011000000000101
31011122101200010122002212
410310101233303000011
520410402104133013
6412021453513205
732625512324141
oct4642157630005
91148350118085
10331010224133
11118420707706
125419a7a2805
13252a25a0764
14120417da221
158924d386a8
hex4d11bf3005

331010224133 has 2 divisors, whose sum is σ = 331010224134. Its totient is φ = 331010224132.

The previous prime is 331010224121. The next prime is 331010224157. The reversal of 331010224133 is 331422010133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223977867169 + 107032356964 = 473263^2 + 327158^2 .

It is a cyclic number.

It is not a de Polignac number, because 331010224133 - 234 = 313830354949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331010224099 and 331010224108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331010224333) 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, 165505112066 + 165505112067.

It is an arithmetic number, because the mean of its divisors is an integer number (165505112067).

Almost surely, 2331010224133 is an apocalyptic number.

It is an amenable number.

331010224133 is a deficient number, since it is larger than the sum of its proper divisors (1).

331010224133 is an equidigital number, since it uses as much as digits as its factorization.

331010224133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 331010224133 its reverse (331422010133), we get a palindrome (662432234266).

The spelling of 331010224133 in words is "three hundred thirty-one billion, ten million, two hundred twenty-four thousand, one hundred thirty-three".