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11200220200 = 23521337311549
BaseRepresentation
bin10100110111001010…
…11100110000101000
31001220120012010201101
422123211130300220
5140414224021300
65051215331144
7544360205131
oct123345346050
931816163641
1011200220200
114828261234
122206b20ab4
13109655ac40
1478370cc88
1545843db6a
hex29b95cc28

11200220200 has 96 divisors (see below), whose sum is σ = 28121247000. Its totient is φ = 4124021760.

The previous prime is 11200220189. The next prime is 11200220221. The reversal of 11200220200 is 202200211.

It can be written as a sum of positive squares in 12 ways, for example, as 1516479364 + 9683740836 = 38942^2 + 98406^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 964026 + ... + 975574.

Almost surely, 211200220200 is an apocalyptic number.

11200220200 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 11200220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14060623500).

11200220200 is an abundant number, since it is smaller than the sum of its proper divisors (16921026800).

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

11200220200 is a wasteful number, since it uses less digits than its factorization.

11200220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11951 (or 11942 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 11200220200 its reverse (202200211), we get a palindrome (11402420411).

The spelling of 11200220200 in words is "eleven billion, two hundred million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 373 520 650 746 1300 1492 1865 2600 2984 3730 4849 7460 9325 9698 11549 14920 18650 19396 23098 24245 37300 38792 46196 48490 57745 74600 92392 96980 115490 121225 150137 193960 230980 242450 288725 300274 461960 484900 577450 600548 750685 969800 1154900 1201096 1501370 2309800 3002740 3753425 4307777 6005480 7506850 8615554 15013700 17231108 21538885 30027400 34462216 43077770 56001101 86155540 107694425 112002202 172311080 215388850 224004404 280005505 430777700 448008808 560011010 861555400 1120022020 1400027525 2240044040 2800055050 5600110100 11200220200