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1135329041 = 71171920507
BaseRepresentation
bin100001110101011…
…1011111100010001
32221010022200122202
41003222323330101
54311121012131
6304354012545
740064065130
oct10352737421
92833280582
101135329041
11532955570
12278277155
131512a0442
14aaad7917
1569a13bcb
hex43abbf11

1135329041 has 16 divisors (see below), whose sum is σ = 1417512960. Its totient is φ = 883398480.

The previous prime is 1135329023. The next prime is 1135329079. The reversal of 1135329041 is 1409235311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1135329041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1135328995 and 1135329013.

It is not an unprimeable number, because it can be changed into a prime (1135329541) 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, 45110 + ... + 65616.

It is an arithmetic number, because the mean of its divisors is an integer number (88594560).

Almost surely, 21135329041 is an apocalyptic number.

1135329041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1135329041 is a deficient number, since it is larger than the sum of its proper divisors (282183919).

1135329041 is a wasteful number, since it uses less digits than its factorization.

1135329041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21244.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 1135329041 is about 33694.6440996192. The cubic root of 1135329041 is about 1043.2152225944.

The spelling of 1135329041 in words is "one billion, one hundred thirty-five million, three hundred twenty-nine thousand, forty-one".

Divisors: 1 7 11 77 719 5033 7909 20507 55363 143549 225577 1579039 14744533 103211731 162189863 1135329041