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10013332031 is a prime number
BaseRepresentation
bin10010101001101011…
…10101001000111111
3221211211211222020022
421110311311020333
5131001403111111
64333340242355
7503065626563
oct112465651077
927754758208
1010013332031
1142792a061a
121b355403bb
13c376a7851
146adc336a3
153d91432db
hex254d7523f

10013332031 has 2 divisors, whose sum is σ = 10013332032. Its totient is φ = 10013332030.

The previous prime is 10013332013. The next prime is 10013332033. The reversal of 10013332031 is 13023331001.

Together with previous prime (10013332013) 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 not a de Polignac number, because 10013332031 - 222 = 10009137727 is a prime.

It is a super-2 number, since 2×100133320312 (a number of 21 digits) contains 22 as substring.

Together with 10013332033, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10013332033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006666015 + 5006666016.

It is an arithmetic number, because the mean of its divisors is an integer number (5006666016).

Almost surely, 210013332031 is an apocalyptic number.

10013332031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013332031 is an equidigital number, since it uses as much as digits as its factorization.

10013332031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10013332031 its reverse (13023331001), we get a palindrome (23036663032).

The spelling of 10013332031 in words is "ten billion, thirteen million, three hundred thirty-two thousand, thirty-one".