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11200042200 = 2335229363709
BaseRepresentation
bin10100110111001001…
…10001010011011000
31001220112212002112210
422123210301103120
5140414202322300
65051211435120
7544355534154
oct123344612330
931815762483
1011200042200
11482814a526
122206a55aa0
1310964c7c09
147836a4064
15458406050
hex29b9314d8

11200042200 has 96 divisors (see below), whose sum is σ = 34839176400. Its totient is φ = 2976437760.

The previous prime is 11200042169. The next prime is 11200042213. The reversal of 11200042200 is 224000211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 143946 + ... + 207654.

Almost surely, 211200042200 is an apocalyptic number.

11200042200 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 11200042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17419588200).

11200042200 is an abundant number, since it is smaller than the sum of its proper divisors (23639134200).

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

11200042200 is a wasteful number, since it uses less digits than its factorization.

11200042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64021 (or 64012 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 11200042200 its reverse (224000211), we get a palindrome (11424042411).

The spelling of 11200042200 in words is "eleven billion, two hundred million, forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 293 300 586 600 879 1172 1465 1758 2344 2930 3516 4395 5860 7032 7325 8790 11720 14650 17580 21975 29300 35160 43950 58600 63709 87900 127418 175800 191127 254836 318545 382254 509672 637090 764508 955635 1274180 1529016 1592725 1911270 2548360 3185450 3822540 4778175 6370900 7645080 9556350 12741800 18666737 19112700 37333474 38225400 56000211 74666948 93333685 112000422 149333896 186667370 224000844 280001055 373334740 448001688 466668425 560002110 746669480 933336850 1120004220 1400005275 1866673700 2240008440 2800010550 3733347400 5600021100 11200042200