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13205206224012 = 223112333113140607
BaseRepresentation
bin1100000000101001001110…
…1000000100110010001100
31201202101221112012210111110
43000022103220010302030
53212323230243132022
644030215450052020
72532021214622145
oct300122350046214
951671845183443
1013205206224012
114231329722070
121593310a1a010
1374a32678c3ca
143391c772aacc
1517d76ebeb00c
hexc0293a04c8c

13205206224012 has 96 divisors (see below), whose sum is σ = 35180666486784. Its totient is φ = 3816031982400.

The previous prime is 13205206223969. The next prime is 13205206224061. The reversal of 13205206224012 is 21042260250231.

It is a super-2 number, since 2×132052062240122 (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 31 ways as a sum of consecutive naturals, for example, 5565388 + ... + 7575219.

It is an arithmetic number, because the mean of its divisors is an integer number (366465275904).

Almost surely, 213205206224012 is an apocalyptic number.

13205206224012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13205206224012 is an abundant number, since it is smaller than the sum of its proper divisors (21975460262772).

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

13205206224012 is a wasteful number, since it uses less digits than its factorization.

13205206224012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13140979 (or 13140977 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 13205206224012 its reverse (21042260250231), we get a palindrome (34247466474243).

The spelling of 13205206224012 in words is "thirteen trillion, two hundred five billion, two hundred six million, two hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 331 506 662 759 993 1012 1324 1518 1986 3036 3641 3972 7282 7613 10923 14564 15226 21846 22839 30452 43692 45678 83743 91356 167486 251229 334972 502458 1004916 13140607 26281214 39421821 52562428 78843642 144546677 157687284 289093354 302233961 433640031 578186708 604467922 867280062 906701883 1208935844 1734560124 1813403766 3324573571 3626807532 4349540917 6649147142 8699081834 9973720713 13048622751 13298294284 17398163668 19947441426 26097245502 39894882852 47844950087 52194491004 95689900174 100039441091 143534850261 191379800348 200078882182 287069700522 300118323273 400157764364 574139401044 600236646546 1100433852001 1200473293092 2200867704002 3301301556003 4401735408004 6602603112006 13205206224012