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11220013220 = 22513433532843
BaseRepresentation
bin10100111001100001…
…11101000010100100
31001221221102201122012
422130300331002210
5140434310410340
65053203453352
7545020352543
oct123460750244
931857381565
1011220013220
11483844aaa9
122211687258
13109a69b0a0
147861c215a
1545a04d565
hex29cc3d0a4

11220013220 has 96 divisors (see below), whose sum is σ = 26047308672. Its totient is φ = 4033548288.

The previous prime is 11220013199. The next prime is 11220013253. The reversal of 11220013220 is 2231002211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11220013195 and 11220013204.

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, 3945119 + ... + 3947961.

It is an arithmetic number, because the mean of its divisors is an integer number (271326132).

Almost surely, 211220013220 is an apocalyptic number.

11220013220 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 11220013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023654336).

11220013220 is an abundant number, since it is smaller than the sum of its proper divisors (14827295452).

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

11220013220 is a wasteful number, since it uses less digits than its factorization.

11220013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11220013220 its reverse (2231002211), we get a palindrome (13451015431).

The spelling of 11220013220 in words is "eleven billion, two hundred twenty million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 353 430 559 706 860 1118 1412 1765 2236 2795 2843 3530 4589 5590 5686 7060 9178 11180 11372 14215 15179 18356 22945 28430 30358 36959 45890 56860 60716 73918 75895 91780 122249 147836 151790 184795 197327 244498 303580 369590 394654 488996 611245 739180 789308 986635 1003579 1222490 1589237 1973270 2007158 2444980 3178474 3946540 4014316 5017895 6356948 7946185 10035790 13046527 15892370 20071580 26093054 31784740 43153897 52186108 65232635 86307794 130465270 172615588 215769485 260930540 431538970 561000661 863077940 1122001322 2244002644 2805003305 5610006610 11220013220