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12130311130 = 257224755737
BaseRepresentation
bin10110100110000010…
…11101101111011010
31011022101022122121121
423103001131233122
5144320324424010
65323402355454
7606412641400
oct132301355732
934271278547
1012130311130
115165276323
1224264bbb8a
1311b415bac2
1483105d470
154aee113da
hex2d305dbda

12130311130 has 24 divisors (see below), whose sum is σ = 25399387188. Its totient is φ = 4158963648.

The previous prime is 12130311107. The next prime is 12130311217. The reversal of 12130311130 is 3111303121.

It can be written as a sum of positive squares in 2 ways, for example, as 11972079889 + 158231241 = 109417^2 + 12579^2 .

It is a super-2 number, since 2×121303111302 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12377379 + ... + 12378358.

Almost surely, 212130311130 is an apocalyptic number.

12130311130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12130311130 is an abundant number, since it is smaller than the sum of its proper divisors (13269076058).

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

12130311130 is a wasteful number, since it uses less digits than its factorization.

12130311130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24755758 (or 24755751 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 12130311130 its reverse (3111303121), we get a palindrome (15241614251).

The spelling of 12130311130 in words is "twelve billion, one hundred thirty million, three hundred eleven thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 24755737 49511474 123778685 173290159 247557370 346580318 866450795 1213031113 1732901590 2426062226 6065155565 12130311130