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11001001220 = 22511795771097
BaseRepresentation
bin10100011111011010…
…11111010100000100
31001101200022202122122
422033231133110010
5140012224014340
65015341345112
7536420652566
oct121755372404
931350282578
1011001001220
114735862050
122170268198
1310641b82a1
14765091336
15445bdadb5
hex28fb5f504

11001001220 has 96 divisors (see below), whose sum is σ = 25588846080. Its totient is φ = 3939287040.

The previous prime is 11001001213. The next prime is 11001001241. The reversal of 11001001220 is 2210010011.

It is a junction number, because it is equal to n+sod(n) for n = 11001001198 and 11001001207.

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, 10027712 + ... + 10028808.

It is an arithmetic number, because the mean of its divisors is an integer number (266550480).

Almost surely, 211001001220 is an apocalyptic number.

11001001220 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 11001001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12794423040).

11001001220 is an abundant number, since it is smaller than the sum of its proper divisors (14587844860).

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

11001001220 is a wasteful number, since it uses less digits than its factorization.

11001001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11001001220 its reverse (2210010011), we get a palindrome (13211011231).

The spelling of 11001001220 in words is "eleven billion, one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 577 790 869 1097 1154 1580 1738 2194 2308 2885 3476 4345 4388 5485 5770 6347 8690 10970 11540 12067 12694 17380 21940 24134 25388 31735 45583 48268 60335 63470 86663 91166 120670 126940 173326 182332 227915 241340 346652 433315 455830 501413 632969 866630 911660 953293 1002826 1265938 1733260 1906586 2005652 2507065 2531876 3164845 3813172 4766465 5014130 6329690 6962659 9532930 10028260 12659380 13925318 19065860 27850636 34813295 50004551 69626590 100009102 139253180 200018204 250022755 500045510 550050061 1000091020 1100100122 2200200244 2750250305 5500500610 11001001220