10282771215 has 96 divisors (see below), whose sum is σ = 19915346880. Its totient is φ = 4877549568.

The previous prime is 10282771189. The next prime is 10282771223. The reversal of 10282771215 is 51217728201.

10282771215 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 101404²-1.

It is not a de Polignac number, because 10282771215 - 2¹⁵ = 10282738447 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10282771215.

It is a congruent number.

It is an unprimeable number.

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 in 95 ways as a sum of consecutive naturals, for example, 8618659 + ... + 8619851.

It is an arithmetic number, because the mean of its divisors is an integer number (207451530).

Almost surely, 2^10282771215 is an apocalyptic number.

10282771215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10282771215 is a deficient number, since it is larger than the sum of its proper divisors (9632575665).

10282771215 is a wasteful number, since it uses less digits than its factorization.

10282771215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 10282771215 in words is "ten billion, two hundred eighty-two million, seven hundred seventy-one thousand, two hundred fifteen".