Search a number
-
+
10815990117 = 331412836609
BaseRepresentation
bin10100001001010111…
…01110100101100101
31000220210012020010120
422010223232211211
5134122343140432
64545132112153
7532013253612
oct120453564545
930823166116
1010815990117
114650387509
12211a305659
131034a7b56a
14748691509
15434842c2c
hex284aee965

10815990117 has 16 divisors (see below), whose sum is σ = 15249615360. Its totient is φ = 6807859200.

The previous prime is 10815990071. The next prime is 10815990173. The reversal of 10815990117 is 71109951801.

10815990117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10815990117 - 211 = 10815988069 is a prime.

It is a super-2 number, since 2×108159901172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10815990517) 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 in 15 ways as a sum of consecutive naturals, for example, 1414492 + ... + 1422117.

It is an arithmetic number, because the mean of its divisors is an integer number (953100960).

Almost surely, 210815990117 is an apocalyptic number.

It is an amenable number.

10815990117 is a deficient number, since it is larger than the sum of its proper divisors (4433625243).

10815990117 is a wasteful number, since it uses less digits than its factorization.

10815990117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836684.

The product of its (nonzero) digits is 22680, while the sum is 42.

The spelling of 10815990117 in words is "ten billion, eight hundred fifteen million, nine hundred ninety thousand, one hundred seventeen".

Divisors: 1 3 31 41 93 123 1271 3813 2836609 8509827 87934879 116300969 263804637 348902907 3605330039 10815990117