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10013311327 is a prime number
BaseRepresentation
bin10010101001101011…
…10000000101011111
3221211211210220211111
421110311300011133
5131001401430302
64333340002451
7503065512325
oct112465600537
927754726744
1010013311327
114279287008
121b35530427
13c3769b2b6
146adc29d15
153d913c0d7
hex254d7015f

10013311327 has 2 divisors, whose sum is σ = 10013311328. Its totient is φ = 10013311326.

The previous prime is 10013311307. The next prime is 10013311337. The reversal of 10013311327 is 72311331001.

10013311327 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 is a cyclic number.

It is not a de Polignac number, because 10013311327 - 27 = 10013311199 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10013311298 and 10013311307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10013311307) 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, 5006655663 + 5006655664.

It is an arithmetic number, because the mean of its divisors is an integer number (5006655664).

Almost surely, 210013311327 is an apocalyptic number.

10013311327 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013311327 is an equidigital number, since it uses as much as digits as its factorization.

10013311327 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

Adding to 10013311327 its reverse (72311331001), we get a palindrome (82324642328).

The spelling of 10013311327 in words is "ten billion, thirteen million, three hundred eleven thousand, three hundred twenty-seven".