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10031023337 is a prime number
BaseRepresentation
bin10010101011110010…
…10100010011101001
3221220002010210010212
421111321110103221
5131020420221322
64335211350505
7503402201666
oct112571242351
927802123125
1010031023337
114288284335
121b3b452435
13c3b26018a
146b231aa6d
153da98a0e2
hex255e544e9

10031023337 has 2 divisors, whose sum is σ = 10031023338. Its totient is φ = 10031023336.

The previous prime is 10031023309. The next prime is 10031023339. The reversal of 10031023337 is 73332013001.

It is a happy number.

10031023337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9792289936 + 238733401 = 98956^2 + 15451^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031023337 - 216 = 10030957801 is a prime.

Together with 10031023339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10031023339) 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, 5015511668 + 5015511669.

It is an arithmetic number, because the mean of its divisors is an integer number (5015511669).

Almost surely, 210031023337 is an apocalyptic number.

It is an amenable number.

10031023337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031023337 is an equidigital number, since it uses as much as digits as its factorization.

10031023337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 23.

Adding to 10031023337 its reverse (73332013001), we get a palindrome (83363036338).

The spelling of 10031023337 in words is "ten billion, thirty-one million, twenty-three thousand, three hundred thirty-seven".