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10387305629 is a prime number
BaseRepresentation
bin10011010110010000…
…11011010010011101
3222210220112210120022
421223020123102131
5132233122240004
64434420001525
7515256432611
oct115310332235
928726483508
1010387305629
1144503aa508
12201a8302a5
13c970059bc
14707781341
1540bdb52be
hex26b21b49d

10387305629 has 2 divisors, whose sum is σ = 10387305630. Its totient is φ = 10387305628.

The previous prime is 10387305623. The next prime is 10387305659. The reversal of 10387305629 is 92650378301.

10387305629 is digitally balanced in base 2, because in such base 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., 6539956900 + 3847348729 = 80870^2 + 62027^2 .

It is a cyclic number.

It is not a de Polignac number, because 10387305629 - 220 = 10386257053 is a prime.

It is a super-2 number, since 2×103873056292 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10387305629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10387305623) 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, 5193652814 + 5193652815.

It is an arithmetic number, because the mean of its divisors is an integer number (5193652815).

Almost surely, 210387305629 is an apocalyptic number.

It is an amenable number.

10387305629 is a deficient number, since it is larger than the sum of its proper divisors (1).

10387305629 is an equidigital number, since it uses as much as digits as its factorization.

10387305629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 10387305629 in words is "ten billion, three hundred eighty-seven million, three hundred five thousand, six hundred twenty-nine".