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10237267331 is a prime number
BaseRepresentation
bin10011000100011000…
…00100110110000011
3222102110020001201022
421202030010312003
5131431220023311
64411500100055
7511455223304
oct114214046603
928373201638
1010237267331
114383741515
121b9853462b
13c71bc2545
146d18867ab
153edb295db
hex262304d83

10237267331 has 2 divisors, whose sum is σ = 10237267332. Its totient is φ = 10237267330.

The previous prime is 10237267321. The next prime is 10237267333. The reversal of 10237267331 is 13376273201.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10237267331 is a prime.

It is a super-2 number, since 2×102372673312 (a number of 21 digits) contains 22 as substring.

Together with 10237267333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10237267291 and 10237267300.

It is not a weakly prime, because it can be changed into another prime (10237267333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5118633665 + 5118633666.

It is an arithmetic number, because the mean of its divisors is an integer number (5118633666).

Almost surely, 210237267331 is an apocalyptic number.

10237267331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10237267331 is an equidigital number, since it uses as much as digits as its factorization.

10237267331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 35.

The spelling of 10237267331 in words is "ten billion, two hundred thirty-seven million, two hundred sixty-seven thousand, three hundred thirty-one".