Search a number
-
+
12738213130 = 2519129751691
BaseRepresentation
bin10111101110100000…
…11011010100001010
31012212202012021101111
423313100123110022
5202041440310010
65504000040534
7630444011416
oct136720332412
935782167344
1012738213130
115447431075
12257600314a
131280093326
1488baa1d46
154e849058a
hex2f741b50a

12738213130 has 32 divisors (see below), whose sum is σ = 24154637760. Its totient is φ = 4823297280.

The previous prime is 12738213121. The next prime is 12738213143. The reversal of 12738213130 is 3131283721.

12738213130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×127382131303 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12738213092 and 12738213101.

It is an unprimeable number.

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, 220585 + ... + 272275.

It is an arithmetic number, because the mean of its divisors is an integer number (754832430).

Almost surely, 212738213130 is an apocalyptic number.

12738213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12738213130 is a deficient number, since it is larger than the sum of its proper divisors (11416424630).

12738213130 is a wasteful number, since it uses less digits than its factorization.

12738213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53014.

The product of its (nonzero) digits is 6048, while the sum is 31.

Adding to 12738213130 its reverse (3131283721), we get a palindrome (15869496851).

The spelling of 12738213130 in words is "twelve billion, seven hundred thirty-eight million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 5 10 19 38 95 190 1297 2594 6485 12970 24643 49286 51691 103382 123215 246430 258455 516910 982129 1964258 4910645 9821290 67043227 134086454 335216135 670432270 1273821313 2547642626 6369106565 12738213130