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13240024200 = 23325213565813
BaseRepresentation
bin11000101010010101…
…01011110010001000
31021011201102220202200
430111022223302020
5204103421233300
610025443400200
7646046230434
oct142512536210
937151386680
1013240024200
115684715167
122696083060
131330030860
148d85a99c4
15527565200
hex3152abc88

13240024200 has 144 divisors (see below), whose sum is σ = 47884838820. Its totient is φ = 3259077120.

The previous prime is 13240024199. The next prime is 13240024207. The reversal of 13240024200 is 242004231.

13240024200 is a `hidden beast` number, since 1 + 3 + 240 + 0 + 2 + 420 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 770728644 + 12469295556 = 27762^2 + 111666^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13240024207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 259507 + ... + 306306.

Almost surely, 213240024200 is an apocalyptic number.

13240024200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13240024200 is an abundant number, since it is smaller than the sum of its proper divisors (34644814620).

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

13240024200 is a wasteful number, since it uses less digits than its factorization.

13240024200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565848 (or 565836 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13240024200 its reverse (242004231), we get a palindrome (13482028431).

The spelling of 13240024200 in words is "thirteen billion, two hundred forty million, twenty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 565813 1131626 1697439 2263252 2829065 3394878 4526504 5092317 5658130 6789756 7355569 8487195 10184634 11316260 13579512 14145325 14711138 16974390 20369268 22066707 22632520 25461585 28290650 29422276 33948780 36777845 40738536 42435975 44133414 50923170 56581300 58844552 66200121 67897560 73555690 84871950 88266828 101846340 110333535 113162600 127307925 132400242 147111380 169743900 176533656 183889225 203692680 220667070 254615850 264800484 294222760 331000605 339487800 367778450 441334140 509231700 529600968 551667675 662001210 735556900 882668280 1018463400 1103335350 1324002420 1471113800 1655003025 2206670700 2648004840 3310006050 4413341400 6620012100 13240024200