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1135022329 = 742916301
BaseRepresentation
bin100001110100111…
…0001000011111001
32221002202002221001
41003221301003321
54311031203304
6304343245001
740061350000
oct10351610371
92832662831
101135022329
11532766091
12278149761
131511c395c
14aaa57c37
15699a2da4
hex43a710f9

1135022329 has 20 divisors (see below), whose sum is σ = 1369857060. Its totient is φ = 939271200.

The previous prime is 1135022327. The next prime is 1135022359. The reversal of 1135022329 is 9232205311.

It can be written as a sum of positive squares in 2 ways, for example, as 788317929 + 346704400 = 28077^2 + 18620^2 .

It is not a de Polignac number, because 1135022329 - 21 = 1135022327 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1135022297 and 1135022306.

It is not an unprimeable number, because it can be changed into a prime (1135022327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61479 + ... + 77779.

It is an arithmetic number, because the mean of its divisors is an integer number (68492853).

Almost surely, 21135022329 is an apocalyptic number.

It is an amenable number.

1135022329 is a deficient number, since it is larger than the sum of its proper divisors (234834731).

1135022329 is an frugal number, since it uses more digits than its factorization.

1135022329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16358 (or 16337 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 1135022329 is about 33690.0924457028. The cubic root of 1135022329 is about 1043.1212717269.

The spelling of 1135022329 in words is "one billion, one hundred thirty-five million, twenty-two thousand, three hundred twenty-nine".

Divisors: 1 7 29 49 203 343 1421 2401 9947 16301 69629 114107 472729 798749 3309103 5591243 23163721 39138701 162146047 1135022329