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13431123200 = 285211190783
BaseRepresentation
bin11001000001000111…
…01010110100000000
31021200001000202022102
430200203222310000
5210001331420300
610100431325532
7653556443405
oct144043526400
937601022272
1013431123200
115772578720
12272a0808a8
1313607bc5a1
14915b122ac
155392120d5
hex3208ead00

13431123200 has 108 divisors (see below), whose sum is σ = 36266512128. Its totient is φ = 4884019200.

The previous prime is 13431123187. The next prime is 13431123203. The reversal of 13431123200 is 232113431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431123203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24992 + ... + 165791.

Almost surely, 213431123200 is an apocalyptic number.

13431123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13431123200 is an abundant number, since it is smaller than the sum of its proper divisors (22835388928).

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

13431123200 is a wasteful number, since it uses less digits than its factorization.

13431123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190820 (or 190801 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13431123200 its reverse (232113431), we get a palindrome (13663236631).

It can be divided in two parts, 13431 and 123200, that added together give a palindrome (136631).

The spelling of 13431123200 in words is "thirteen billion, four hundred thirty-one million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 550 640 704 800 880 1100 1280 1408 1600 1760 2200 2816 3200 3520 4400 6400 7040 8800 14080 17600 35200 70400 190783 381566 763132 953915 1526264 1907830 2098613 3052528 3815660 4197226 4769575 6105056 7631320 8394452 9539150 10493065 12210112 15262640 16788904 19078300 20986130 24420224 30525280 33577808 38156600 41972260 48840448 52465325 61050560 67155616 76313200 83944520 104930650 122101120 134311232 152626400 167889040 209861300 244202240 268622464 305252800 335778080 419722600 537244928 610505600 671556160 839445200 1221011200 1343112320 1678890400 2686224640 3357780800 6715561600 13431123200