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11201210200 = 2352151421881
BaseRepresentation
bin10100110111010010…
…01110011101011000
31001220122001102202001
422123221032131120
5140420002211300
65051252450344
7544401500335
oct123351163530
931818042661
1011201210200
114828878014
1222073199b4
13109681673b
147838c998c
1545858716a
hex29ba4e758

11201210200 has 96 divisors (see below), whose sum is σ = 26307378720. Its totient is φ = 4435200000.

The previous prime is 11201210131. The next prime is 11201210213. The reversal of 11201210200 is 201210211.

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

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, 12713760 + ... + 12714640.

It is an arithmetic number, because the mean of its divisors is an integer number (274035195).

Almost surely, 211201210200 is an apocalyptic number.

11201210200 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 11201210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13153689360).

11201210200 is an abundant number, since it is smaller than the sum of its proper divisors (15106168520).

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

11201210200 is a wasteful number, since it uses less digits than its factorization.

11201210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11201210200 its reverse (201210211), we get a palindrome (11402420411).

The spelling of 11201210200 in words is "eleven billion, two hundred one million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 200 302 421 604 755 842 881 1208 1510 1684 1762 2105 3020 3368 3524 3775 4210 4405 6040 7048 7550 8420 8810 10525 15100 16840 17620 21050 22025 30200 35240 42100 44050 63571 84200 88100 127142 133031 176200 254284 266062 317855 370901 508568 532124 635710 665155 741802 1064248 1271420 1330310 1483604 1589275 1854505 2542840 2660620 2967208 3178550 3325775 3709010 5321240 6357100 6651550 7418020 9272525 12714200 13303100 14836040 18545050 26606200 37090100 56006051 74180200 112012102 224024204 280030255 448048408 560060510 1120121020 1400151275 2240242040 2800302550 5600605100 11201210200