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13312220103240 = 2335375298156591
BaseRepresentation
bin1100000110110111111000…
…1001101000001001001000
31202010122011111201010020220
43001231332021220021020
53221101411321300430
644151314404550040
72542530136604142
oct301557611501110
952118144633226
1013312220103240
114272754221473
1215abbb76b2320
1375744c424236
1434045a0bbc92
15181434a92110
hexc1b7e268248

13312220103240 has 128 divisors (see below), whose sum is σ = 41017528465920. Its totient is φ = 3453855206400.

The previous prime is 13312220103227. The next prime is 13312220103313. The reversal of 13312220103240 is 4230102221331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13312220103240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235207345 + ... + 235263935.

It is an arithmetic number, because the mean of its divisors is an integer number (320449441140).

Almost surely, 213312220103240 is an apocalyptic number.

13312220103240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312220103240 is an abundant number, since it is smaller than the sum of its proper divisors (27705308362680).

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

13312220103240 is a wasteful number, since it uses less digits than its factorization.

13312220103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109623 (or 109619 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13312220103240 its reverse (4230102221331), we get a palindrome (17542322324571).

The spelling of 13312220103240 in words is "thirteen trillion, three hundred twelve billion, two hundred twenty million, one hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 52981 56591 105962 113182 158943 169773 211924 226364 264905 282955 317886 339546 423848 452728 529810 565910 635772 679092 794715 848865 1059620 1131820 1271544 1358184 1589430 1697730 1960297 2093867 2119240 2263640 3178860 3395460 3920594 4187734 5880891 6281601 6357720 6790920 7841188 8375468 9801485 10469335 11761782 12563202 15682376 16750936 19602970 20938670 23523564 25126404 29404455 31408005 39205940 41877340 47047128 50252808 58808910 62816010 78411880 83754680 117617820 125632020 235235640 251264040 2998247771 5996495542 8994743313 11992991084 14991238855 17989486626 23985982168 29982477710 35978973252 44973716565 59964955420 71957946504 89947433130 110935167527 119929910840 179894866260 221870335054 332805502581 359789732520 443740670108 554675837635 665611005162 887481340216 1109351675270 1331222010324 1664027512905 2218703350540 2662444020648 3328055025810 4437406701080 6656110051620 13312220103240