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1085096033 = 72137161641
BaseRepresentation
bin100000010101101…
…0100000001100001
32210121210120220222
41000223110001201
54210241033113
6255401212425
735614110200
oct10053240141
92717716828
101085096033
1150756578a
12263491115
13143a62c78
14a417d237
15653dee08
hex40ad4061

1085096033 has 12 divisors (see below), whose sum is σ = 1271475972. Its totient is φ = 923287680.

The previous prime is 1085096011. The next prime is 1085096059. The reversal of 1085096033 is 3306905801.

It can be written as a sum of positive squares in 2 ways, for example, as 515653264 + 569442769 = 22708^2 + 23863^2 .

It is not a de Polignac number, because 1085096033 - 26 = 1085095969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1085095984 and 1085096002.

It is not an unprimeable number, because it can be changed into a prime (1085096063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74108 + ... + 87533.

It is an arithmetic number, because the mean of its divisors is an integer number (105956331).

Almost surely, 21085096033 is an apocalyptic number.

It is an amenable number.

1085096033 is a deficient number, since it is larger than the sum of its proper divisors (186379939).

1085096033 is a wasteful number, since it uses less digits than its factorization.

1085096033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161792 (or 161785 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 1085096033 is about 32940.7958768455. The cubic root of 1085096033 is about 1027.5967575820.

The spelling of 1085096033 in words is "one billion, eighty-five million, ninety-six thousand, thirty-three".

Divisors: 1 7 49 137 959 6713 161641 1131487 7920409 22144817 155013719 1085096033