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13300301001220 = 22513712041403133
BaseRepresentation
bin1100000110001011011110…
…1101110111001000000100
31202002111101211211000001221
43001202313231313020010
53220403004024014340
644142023545130124
72541625600113442
oct301426755671004
952074354730057
1013300301001220
1142686981a4732
1215a982ba89944
1375629cc7574c
1433da4911bb92
15180e884a144a
hexc18b7b77204

13300301001220 has 48 divisors (see below), whose sum is σ = 28136911683888. Its totient is φ = 5280835696640.

The previous prime is 13300301001209. The next prime is 13300301001233. The reversal of 13300301001220 is 2210010300331.

It can be written as a sum of positive squares in 8 ways, for example, as 24246849796 + 13276054151424 = 155714^2 + 3643632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13300301001194 and 13300301001203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32790774 + ... + 33193906.

It is an arithmetic number, because the mean of its divisors is an integer number (586185660081).

Almost surely, 213300301001220 is an apocalyptic number.

13300301001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300301001220 is an abundant number, since it is smaller than the sum of its proper divisors (14836610682668).

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

13300301001220 is a wasteful number, since it uses less digits than its factorization.

13300301001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415320 (or 415318 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13300301001220 its reverse (2210010300331), we get a palindrome (15510311301551).

The spelling of 13300301001220 in words is "thirteen trillion, three hundred billion, three hundred one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2740 12041 24082 48164 60205 120410 240820 403133 806266 1612532 1649617 2015665 3299234 4031330 6598468 8062660 8248085 16496170 32992340 55229221 110458442 220916884 276146105 552292210 1104584420 4854124453 9708248906 19416497812 24270622265 48541244530 97082489060 665015050061 1330030100122 2660060200244 3325075250305 6650150500610 13300301001220