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11311220200 = 2352712796317
BaseRepresentation
bin10101000100011001…
…11000010111101000
31002012022001112002111
422202030320113220
5141131133021300
65110222412104
7550205533240
oct124214702750
932168045074
1011311220200
114884986175
122238131034
1310b3553507
14794364b20
154630679ba
hex2a23385e8

11311220200 has 96 divisors (see below), whose sum is σ = 30083788800. Its totient is φ = 3874487040.

The previous prime is 11311220191. The next prime is 11311220257. The reversal of 11311220200 is 202211311.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1787442 + ... + 1793758.

It is an arithmetic number, because the mean of its divisors is an integer number (313372800).

Almost surely, 211311220200 is an apocalyptic number.

11311220200 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 11311220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15041894400).

11311220200 is an abundant number, since it is smaller than the sum of its proper divisors (18772568600).

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

11311220200 is a wasteful number, since it uses less digits than its factorization.

11311220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7619 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11311220200 its reverse (202211311), we get a palindrome (11513431511).

The spelling of 11311220200 in words is "eleven billion, three hundred eleven million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1279 1400 2558 5116 6317 6395 8953 10232 12634 12790 17906 25268 25580 31585 31975 35812 44219 44765 50536 51160 63170 63950 71624 88438 89530 126340 127900 157925 176876 179060 221095 223825 252680 255800 315850 353752 358120 442190 447650 631700 884380 895300 1105475 1263400 1768760 1790600 2210950 4421900 8079443 8843800 16158886 32317772 40397215 56556101 64635544 80794430 113112202 161588860 201986075 226224404 282780505 323177720 403972150 452448808 565561010 807944300 1131122020 1413902525 1615888600 2262244040 2827805050 5655610100 11311220200