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1085528013 = 317412292267
BaseRepresentation
bin100000010110011…
…1101011111001101
32210122121112111020
41000230331133031
54210343344023
6255414344353
735620556463
oct10054753715
92718545436
101085528013
11507830299
1226365b0b9
13143b8478b
14a4252833
1565477de3
hex40b3d7cd

1085528013 has 32 divisors (see below), whose sum is σ = 1577439360. Its totient is φ = 661309440.

The previous prime is 1085528011. The next prime is 1085528069. The reversal of 1085528013 is 3108255801.

It is a happy number.

It is not a de Polignac number, because 1085528013 - 21 = 1085528011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085528011) 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 31 ways as a sum of consecutive naturals, for example, 477706 + ... + 479972.

It is an arithmetic number, because the mean of its divisors is an integer number (49294980).

Almost surely, 21085528013 is an apocalyptic number.

It is an amenable number.

1085528013 is a deficient number, since it is larger than the sum of its proper divisors (491911347).

1085528013 is a wasteful number, since it uses less digits than its factorization.

1085528013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557.

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 1085528013 is about 32947.3521394360. The cubic root of 1085528013 is about 1027.7331026122.

The spelling of 1085528013 in words is "one billion, eighty-five million, five hundred twenty-eight thousand, thirteen".

Divisors: 1 3 17 41 51 123 229 687 697 2091 2267 3893 6801 9389 11679 28167 38539 92947 115617 159613 278841 478839 519143 1557429 1580099 4740297 8825431 21284863 26476293 63854589 361842671 1085528013