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13320431353200 = 2435271156343091
BaseRepresentation
bin1100000111010110011110…
…0101000011110101110000
31202011102100202121211121210
43001311213211003311300
53221220220411300300
644155153252320120
72543240464225326
oct301654745036560
952142322554553
1013320431353200
114276188266064
1215b1709613040
1375815a66011a
143409d8855d16
151817658ba050
hexc1d67943d70

13320431353200 has 120 divisors (see below), whose sum is σ = 43270764886656. Its totient is φ = 3502085216000.

The previous prime is 13320431353189. The next prime is 13320431353223. The reversal of 13320431353200 is 235313402331.

13320431353200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78086346 + ... + 78256745.

Almost surely, 213320431353200 is an apocalyptic number.

13320431353200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320431353200 is an abundant number, since it is smaller than the sum of its proper divisors (29950333533456).

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

13320431353200 is a wasteful number, since it uses less digits than its factorization.

13320431353200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156343183 (or 156343172 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 13320431353200 its reverse (235313402331), we get a palindrome (13555744755531).

The spelling of 13320431353200 in words is "thirteen trillion, three hundred twenty billion, four hundred thirty-one million, three hundred fifty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 71 75 80 100 120 142 150 200 213 240 284 300 355 400 426 568 600 710 852 1065 1136 1200 1420 1704 1775 2130 2840 3408 3550 4260 5325 5680 7100 8520 10650 14200 17040 21300 28400 42600 85200 156343091 312686182 469029273 625372364 781715455 938058546 1250744728 1563430910 1876117092 2345146365 2501489456 3126861820 3752234184 3908577275 4690292730 6253723640 7504468368 7817154550 9380585460 11100359461 11725731825 12507447280 15634309100 18761170920 22200718922 23451463650 31268618200 33301078383 37522341840 44401437844 46902927300 55501797305 62537236400 66602156766 88802875688 93805854600 111003594610 133204313532 166505391915 177605751376 187611709200 222007189220 266408627064 277508986525 333010783830 444014378440 532817254128 555017973050 666021567660 832526959575 888028756880 1110035946100 1332043135320 1665053919150 2220071892200 2664086270640 3330107838300 4440143784400 6660215676600 13320431353200