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1085901128 = 231310441357
BaseRepresentation
bin100000010111001…
…1000100101001000
32210200022111022022
41000232120211020
54210442314003
6255430344012
735624002334
oct10056304510
92720274268
101085901128
11507a65654
122637bb008
13143c85560
14a430c7c4
15654ed738
hex40b98948

1085901128 has 16 divisors (see below), whose sum is σ = 2192685180. Its totient is φ = 501185088.

The previous prime is 1085901121. The next prime is 1085901149. The reversal of 1085901128 is 8211095801.

It can be written as a sum of positive squares in 2 ways, for example, as 829324804 + 256576324 = 28798^2 + 16018^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1085901121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5220575 + ... + 5220782.

Almost surely, 21085901128 is an apocalyptic number.

It is an amenable number.

1085901128 is an abundant number, since it is smaller than the sum of its proper divisors (1106784052).

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

1085901128 is a wasteful number, since it uses less digits than its factorization.

1085901128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10441376 (or 10441372 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 35.

The square root of 1085901128 is about 32953.0139440993. The cubic root of 1085901128 is about 1027.8508390827.

Adding to 1085901128 its reverse (8211095801), we get a palindrome (9296996929).

The spelling of 1085901128 in words is "one billion, eighty-five million, nine hundred one thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 10441357 20882714 41765428 83530856 135737641 271475282 542950564 1085901128