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13421235353000 = 235347307930157
BaseRepresentation
bin1100001101001101111111…
…1101110011010110101000
31202112001112222010121020212
43003103133331303112220
53224343142222244000
644313344100040252
72553436503126506
oct303233775632650
952461488117225
1013421235353000
114304a06514102
121609160693088
137648038c3197
1434583c5a3676
151841b54bbc35
hexc34dff735a8

13421235353000 has 128 divisors (see below), whose sum is σ = 32178406740480. Its totient is φ = 5237150342400.

The previous prime is 13421235352999. The next prime is 13421235353023. The reversal of 13421235353000 is 35353212431.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13963922 + ... + 14894078.

It is an arithmetic number, because the mean of its divisors is an integer number (251393802660).

Almost surely, 213421235353000 is an apocalyptic number.

13421235353000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13421235353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16089203370240).

13421235353000 is an abundant number, since it is smaller than the sum of its proper divisors (18757171387480).

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

13421235353000 is a wasteful number, since it uses less digits than its factorization.

13421235353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930532 (or 930518 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 13421235353000 its reverse (35353212431), we get a palindrome (13456588565431).

The spelling of 13421235353000 in words is "thirteen trillion, four hundred twenty-one billion, two hundred thirty-five million, three hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 307 376 470 500 614 940 1000 1175 1228 1535 1880 2350 2456 3070 4700 5875 6140 7675 9400 11750 12280 14429 15350 23500 28858 30700 38375 47000 57716 61400 72145 76750 115432 144290 153500 288580 307000 360725 577160 721450 930157 1442900 1803625 1860314 2885800 3607250 3720628 4650785 7214500 7441256 9301570 14429000 18603140 23253925 37206280 43717379 46507850 87434758 93015700 116269625 174869516 186031400 218586895 232539250 285558199 349739032 437173790 465078500 571116398 874347580 930157000 1092934475 1142232796 1427790995 1748695160 2185868950 2284465592 2855581990 4371737900 5464672375 5711163980 7138954975 8743475800 10929344750 11422327960 13421235353 14277909950 21858689500 26842470706 28555819900 35694774875 43717379000 53684941412 57111639800 67106176765 71389549750 107369882824 134212353530 142779099500 268424707060 285558199000 335530883825 536849414120 671061767650 1342123535300 1677654419125 2684247070600 3355308838250 6710617676500 13421235353000