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13313213230020 = 223511214251128677
BaseRepresentation
bin1100000110111011100101…
…0110000110101111000100
31202010201201201110012002020
43001232321112012233010
53221110430041330040
644152001123043140
72542563556210404
oct301567126065704
952121651405066
1013313213230020
114273113880300
1215b02342104b0
1375757a0c5b12
14340511d5a804
15181491d66cd0
hexc1bb9586bc4

13313213230020 has 144 divisors (see below), whose sum is σ = 40977082918464. Its totient is φ = 3227194080000.

The previous prime is 13313213230019. The next prime is 13313213230049. The reversal of 13313213230020 is 2003231231331.

13313213230020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133132132300202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103397922 + ... + 103526598.

Almost surely, 213313213230020 is an apocalyptic number.

13313213230020 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 13313213230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20488541459232).

13313213230020 is an abundant number, since it is smaller than the sum of its proper divisors (27663869688444).

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

13313213230020 is a wasteful number, since it uses less digits than its factorization.

13313213230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142962 (or 142949 counting only the distinct ones).

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

Adding to 13313213230020 its reverse (2003231231331), we get a palindrome (15316444461351).

The spelling of 13313213230020 in words is "thirteen trillion, three hundred thirteen billion, two hundred thirteen million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 14251 28502 42753 57004 71255 85506 128677 142510 156761 171012 213765 257354 285020 313522 386031 427530 470283 514708 627044 643385 772062 783805 855060 940566 1286770 1415447 1544124 1567610 1724371 1881132 1930155 2351415 2573540 2830894 3135220 3448742 3860310 4246341 4702830 5173113 5661788 6897484 7077235 7720620 8492682 8621855 9405660 10346226 14154470 15569917 16985364 17243710 20692452 21231705 25865565 28308940 31139834 34487420 42463410 46709751 51731130 62279668 77849585 84926820 93419502 103462260 155699170 186839004 233548755 311398340 467097510 934195020 1833775927 3667551854 5501327781 7335103708 9168879635 11002655562 18337759270 20171535197 22005311124 27506638905 36675518540 40343070394 55013277810 60514605591 80686140788 100857675985 110026555620 121029211182 201715351970 221886887167 242058422364 302573027955 403430703940 443773774334 605146055910 665660661501 887547548668 1109434435835 1210292111820 1331321323002 2218868871670 2662642646004 3328303307505 4437737743340 6656606615010 13313213230020