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10775933010 = 234513303621
BaseRepresentation
bin10100000100100101…
…11011000001010010
31000210222211010010000
422002102323001102
5134032114324020
64541141350430
7531015630213
oct120222730122
930728733100
1010775933010
11462a807a67
122108a08416
131029694a2b
1474322540a
1543107e090
hex2824bb052

10775933010 has 40 divisors (see below), whose sum is σ = 28975288716. Its totient is φ = 2873581920.

The previous prime is 10775933009. The next prime is 10775933017. The reversal of 10775933010 is 1033957701.

10775933010 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10643429889 + 132503121 = 103167^2 + 11511^2 .

It is a super-2 number, since 2×107759330102 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10775933017) 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 in 19 ways as a sum of consecutive naturals, for example, 6651001 + ... + 6652620.

Almost surely, 210775933010 is an apocalyptic number.

10775933010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10775933010 is an abundant number, since it is smaller than the sum of its proper divisors (18199355706).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10775933010 is a wasteful number, since it uses less digits than its factorization.

10775933010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13303640 (or 13303631 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 36.

The spelling of 10775933010 in words is "ten billion, seven hundred seventy-five million, nine hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 13303621 26607242 39910863 66518105 79821726 119732589 133036210 199554315 239465178 359197767 399108630 598662945 718395534 1077593301 1197325890 1795988835 2155186602 3591977670 5387966505 10775933010