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10303131337 is a prime number
BaseRepresentation
bin10011001100001110…
…10100111011001001
3222121001011022010221
421212013110323021
5132100100200322
64422211510041
7513215112532
oct114607247311
928531138127
1010303131337
114407938084
121bb65b8321
13c82743625
146da50d689
154047d99c7
hex2661d4ec9

10303131337 has 2 divisors, whose sum is σ = 10303131338. Its totient is φ = 10303131336.

The previous prime is 10303131331. The next prime is 10303131343. The reversal of 10303131337 is 73313130301.

It is a happy number.

10303131337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10303131331) and next prime (10303131343).

It can be written as a sum of positive squares in only one way, i.e., 7087787721 + 3215343616 = 84189^2 + 56704^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10303131337 is a prime.

It is not a weakly prime, because it can be changed into another prime (10303131331) 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, 5151565668 + 5151565669.

It is an arithmetic number, because the mean of its divisors is an integer number (5151565669).

Almost surely, 210303131337 is an apocalyptic number.

It is an amenable number.

10303131337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10303131337 is an equidigital number, since it uses as much as digits as its factorization.

10303131337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 25.

Adding to 10303131337 its reverse (73313130301), we get a palindrome (83616261638).

The spelling of 10303131337 in words is "ten billion, three hundred three million, one hundred thirty-one thousand, three hundred thirty-seven".