Search a number
-
+
13122004224 = 28372440849
BaseRepresentation
bin11000011100010000…
…11110010100000000
31020212111100212210110
430032020132110000
5203333213113344
610010030031320
7643114124040
oct141610362400
936774325713
1013122004224
115624035a9a
122662648540
13131174ac54
148c6a47720
1551c0013b9
hex30e21e500

13122004224 has 72 divisors (see below), whose sum is σ = 39912779200. Its totient is φ = 3749142528.

The previous prime is 13122004199. The next prime is 13122004237. The reversal of 13122004224 is 42240022131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13122004224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1215049 + ... + 1225800.

Almost surely, 213122004224 is an apocalyptic number.

13122004224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13122004224 is an abundant number, since it is smaller than the sum of its proper divisors (26790774976).

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

13122004224 is an equidigital number, since it uses as much as digits as its factorization.

13122004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440875 (or 2440861 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 13122004224 its reverse (42240022131), we get a palindrome (55362026355).

The spelling of 13122004224 in words is "thirteen billion, one hundred twenty-two million, four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 2440849 4881698 7322547 9763396 14645094 17085943 19526792 29290188 34171886 39053584 51257829 58580376 68343772 78107168 102515658 117160752 136687544 156214336 205031316 234321504 273375088 312428672 410062632 468643008 546750176 624857344 820125264 937286016 1093500352 1640250528 1874572032 2187000704 3280501056 4374001408 6561002112 13122004224