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10011339829 is a prime number
BaseRepresentation
bin10010101001011100…
…01110110000110101
3221211201002202110001
421110232032300311
5131000400333304
64333225431301
7503042661451
oct112456166065
927751082401
1010011339829
11427815a877
121b3493b531
13c3715ab2a
146ad875661
153d8d9cda4
hex254b8ec35

10011339829 has 2 divisors, whose sum is σ = 10011339830. Its totient is φ = 10011339828.

The previous prime is 10011339827. The next prime is 10011339883. The reversal of 10011339829 is 92893311001.

10011339829 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8344822500 + 1666517329 = 91350^2 + 40823^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011339829 - 21 = 10011339827 is a prime.

Together with 10011339827, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011339823) 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, 5005669914 + 5005669915.

It is an arithmetic number, because the mean of its divisors is an integer number (5005669915).

Almost surely, 210011339829 is an apocalyptic number.

It is an amenable number.

10011339829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011339829 is an equidigital number, since it uses as much as digits as its factorization.

10011339829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 10011339829 in words is "ten billion, eleven million, three hundred thirty-nine thousand, eight hundred twenty-nine".