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1130813361 = 32172434761
BaseRepresentation
bin100001101100110…
…1101011110110001
32220210211021022100
41003121231132301
54303442011421
6304113131013
740010516646
oct10331553661
92823737270
101130813361
115303508a7
12276859a69
1315037bc42
14aa27ddcd
1569420c26
hex4366d7b1

1130813361 has 18 divisors (see below), whose sum is σ = 1735135142. Its totient is φ = 709528320.

The previous prime is 1130813357. The next prime is 1130813363. The reversal of 1130813361 is 1633180311.

It can be written as a sum of positive squares in 3 ways, for example, as 269977761 + 860835600 = 16431^2 + 29340^2 .

It is not a de Polignac number, because 1130813361 - 22 = 1130813357 is a prime.

It is a super-2 number, since 2×11308133612 = 2557477714832232642, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130813363) 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 17 ways as a sum of consecutive naturals, for example, 214780 + ... + 219981.

Almost surely, 21130813361 is an apocalyptic number.

It is an amenable number.

1130813361 is a deficient number, since it is larger than the sum of its proper divisors (604321781).

1130813361 is a wasteful number, since it uses less digits than its factorization.

1130813361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434801 (or 434781 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1130813361 is about 33627.5684669588. The cubic root of 1130813361 is about 1041.8302832427.

Adding to 1130813361 its reverse (1633180311), we get a palindrome (2763993672).

The spelling of 1130813361 in words is "one billion, one hundred thirty million, eight hundred thirteen thousand, three hundred sixty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 434761 1304283 3912849 7390937 22172811 66518433 125645929 376937787 1130813361