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13330312431000 = 2335313829321313
BaseRepresentation
bin1100000111111011010010…
…0010011000010110011000
31202012100212101121121011020
43001332310202120112120
53221400434440243000
644203505550202440
72544040366055325
oct301766442302630
952170771547136
1013330312431000
11427a398935064
1215b36067b3420
13759073810116
14341294c9db4c
15181b430d6ba0
hexc1fb4898598

13330312431000 has 128 divisors (see below), whose sum is σ = 41593711723200. Its totient is φ = 3554481868800.

The previous prime is 13330312430977. The next prime is 13330312431031. The reversal of 13330312431000 is 13421303331.

It is a happy number.

It is a super-2 number, since 2×133303124310002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 41326344 + ... + 41647656.

Almost surely, 213330312431000 is an apocalyptic number.

13330312431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330312431000 is an abundant number, since it is smaller than the sum of its proper divisors (28263399292200).

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

13330312431000 is a wasteful number, since it uses less digits than its factorization.

13330312431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335166 (or 335152 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13330312431000 its reverse (13421303331), we get a palindrome (13343733734331).

The spelling of 13330312431000 in words is "thirteen trillion, three hundred thirty billion, three hundred twelve million, four hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 13829 27658 41487 55316 69145 82974 110632 138290 165948 207435 276580 321313 331896 345725 414870 553160 642626 691450 829740 963939 1037175 1285252 1382900 1606565 1659480 1728625 1927878 2074350 2570504 2765800 3213130 3457250 3855756 4148700 4819695 5185875 6426260 6914500 7711512 8032825 8297400 9639390 10371750 12852520 13829000 16065650 19278780 20743500 24098475 32131300 38557560 40164125 41487000 48196950 64262600 80328250 96393900 120492375 160656500 192787800 240984750 321313000 481969500 963939000 4443437477 8886874954 13330312431 17773749908 22217187385 26660624862 35547499816 44434374770 53321249724 66651562155 88868749540 106642499448 111085936925 133303124310 177737499080 222171873850 266606248620 333257810775 444343747700 533212497240 555429684625 666515621550 888687495400 1110859369250 1333031243100 1666289053875 2221718738500 2666062486200 3332578107750 4443437477000 6665156215500 13330312431000